unit 1 introduction to chemistry chapter 1 read sections 1.1; 1.2 and 1.3

117
Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

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Page 1: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Unit 1Introduction to Chemistry

Chapter 1

Read sections 11 12 and 13

WorldviewA perspective from which we see and interpret all of life

ChristianJesus at the Center

Vs

HumanistMan at the Center

The Creation Mandate

bull And God said Let us make man in our image after our likeness and let them have dominion over the fish of the sea and over the fowl of the air and over the cattle and over all the earth and over every creeping thing that creepeth upon the earth

bull 27So God created man in his own image in the image of God created he him male and female created he them

bull 28And God blessed them and God said unto them Be fruitful and multiply and replenish the earth and subdue it and have dominion over the fish of the sea and over the fowl of the air and over every living thing that moveth

upon the earth

1st and 2nd Commandment

Love God

Love one Another

Dominion Science

Scientific Activity that Exercises Dominion for

the glory of God and the good of

others

What if microbes

were intelligentWorldview

1014 Microbes in a human body

bullQUIZ

What is Chemistry

the study of matter

and its changes

Matter is anything that occupies spaceAnd has mass

The Beginning

The Greeks believed there

were four elements

Early practical chemistry

household goods weapons

soap fermentation basic medicine

earth wind fire water

D ~~D___

D

___

Alchemy

Allegedly this substance would turn cheap metals into gold

the quest for the Philosopherrsquos Stone

(~500 ndash 1300 AD)

(the elixir the Sorcererrsquos Stone)

Alchemical symbols for substanceshellip

GOLD SILVER COPPER IRON SAND

transmutation

we cannot

transmute elements into different elements

changing one substance

into another

COPPER GOLD

Philosopherrsquos

Stone

In ordinary chemical reactionshellip

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 2: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

WorldviewA perspective from which we see and interpret all of life

ChristianJesus at the Center

Vs

HumanistMan at the Center

The Creation Mandate

bull And God said Let us make man in our image after our likeness and let them have dominion over the fish of the sea and over the fowl of the air and over the cattle and over all the earth and over every creeping thing that creepeth upon the earth

bull 27So God created man in his own image in the image of God created he him male and female created he them

bull 28And God blessed them and God said unto them Be fruitful and multiply and replenish the earth and subdue it and have dominion over the fish of the sea and over the fowl of the air and over every living thing that moveth

upon the earth

1st and 2nd Commandment

Love God

Love one Another

Dominion Science

Scientific Activity that Exercises Dominion for

the glory of God and the good of

others

What if microbes

were intelligentWorldview

1014 Microbes in a human body

bullQUIZ

What is Chemistry

the study of matter

and its changes

Matter is anything that occupies spaceAnd has mass

The Beginning

The Greeks believed there

were four elements

Early practical chemistry

household goods weapons

soap fermentation basic medicine

earth wind fire water

D ~~D___

D

___

Alchemy

Allegedly this substance would turn cheap metals into gold

the quest for the Philosopherrsquos Stone

(~500 ndash 1300 AD)

(the elixir the Sorcererrsquos Stone)

Alchemical symbols for substanceshellip

GOLD SILVER COPPER IRON SAND

transmutation

we cannot

transmute elements into different elements

changing one substance

into another

COPPER GOLD

Philosopherrsquos

Stone

In ordinary chemical reactionshellip

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 3: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

The Creation Mandate

bull And God said Let us make man in our image after our likeness and let them have dominion over the fish of the sea and over the fowl of the air and over the cattle and over all the earth and over every creeping thing that creepeth upon the earth

bull 27So God created man in his own image in the image of God created he him male and female created he them

bull 28And God blessed them and God said unto them Be fruitful and multiply and replenish the earth and subdue it and have dominion over the fish of the sea and over the fowl of the air and over every living thing that moveth

upon the earth

1st and 2nd Commandment

Love God

Love one Another

Dominion Science

Scientific Activity that Exercises Dominion for

the glory of God and the good of

others

What if microbes

were intelligentWorldview

1014 Microbes in a human body

bullQUIZ

What is Chemistry

the study of matter

and its changes

Matter is anything that occupies spaceAnd has mass

The Beginning

The Greeks believed there

were four elements

Early practical chemistry

household goods weapons

soap fermentation basic medicine

earth wind fire water

D ~~D___

D

___

Alchemy

Allegedly this substance would turn cheap metals into gold

the quest for the Philosopherrsquos Stone

(~500 ndash 1300 AD)

(the elixir the Sorcererrsquos Stone)

Alchemical symbols for substanceshellip

GOLD SILVER COPPER IRON SAND

transmutation

we cannot

transmute elements into different elements

changing one substance

into another

COPPER GOLD

Philosopherrsquos

Stone

In ordinary chemical reactionshellip

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 4: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

1st and 2nd Commandment

Love God

Love one Another

Dominion Science

Scientific Activity that Exercises Dominion for

the glory of God and the good of

others

What if microbes

were intelligentWorldview

1014 Microbes in a human body

bullQUIZ

What is Chemistry

the study of matter

and its changes

Matter is anything that occupies spaceAnd has mass

The Beginning

The Greeks believed there

were four elements

Early practical chemistry

household goods weapons

soap fermentation basic medicine

earth wind fire water

D ~~D___

D

___

Alchemy

Allegedly this substance would turn cheap metals into gold

the quest for the Philosopherrsquos Stone

(~500 ndash 1300 AD)

(the elixir the Sorcererrsquos Stone)

Alchemical symbols for substanceshellip

GOLD SILVER COPPER IRON SAND

transmutation

we cannot

transmute elements into different elements

changing one substance

into another

COPPER GOLD

Philosopherrsquos

Stone

In ordinary chemical reactionshellip

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 5: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Dominion Science

Scientific Activity that Exercises Dominion for

the glory of God and the good of

others

What if microbes

were intelligentWorldview

1014 Microbes in a human body

bullQUIZ

What is Chemistry

the study of matter

and its changes

Matter is anything that occupies spaceAnd has mass

The Beginning

The Greeks believed there

were four elements

Early practical chemistry

household goods weapons

soap fermentation basic medicine

earth wind fire water

D ~~D___

D

___

Alchemy

Allegedly this substance would turn cheap metals into gold

the quest for the Philosopherrsquos Stone

(~500 ndash 1300 AD)

(the elixir the Sorcererrsquos Stone)

Alchemical symbols for substanceshellip

GOLD SILVER COPPER IRON SAND

transmutation

we cannot

transmute elements into different elements

changing one substance

into another

COPPER GOLD

Philosopherrsquos

Stone

In ordinary chemical reactionshellip

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 6: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

What if microbes

were intelligentWorldview

1014 Microbes in a human body

bullQUIZ

What is Chemistry

the study of matter

and its changes

Matter is anything that occupies spaceAnd has mass

The Beginning

The Greeks believed there

were four elements

Early practical chemistry

household goods weapons

soap fermentation basic medicine

earth wind fire water

D ~~D___

D

___

Alchemy

Allegedly this substance would turn cheap metals into gold

the quest for the Philosopherrsquos Stone

(~500 ndash 1300 AD)

(the elixir the Sorcererrsquos Stone)

Alchemical symbols for substanceshellip

GOLD SILVER COPPER IRON SAND

transmutation

we cannot

transmute elements into different elements

changing one substance

into another

COPPER GOLD

Philosopherrsquos

Stone

In ordinary chemical reactionshellip

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 7: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

bullQUIZ

What is Chemistry

the study of matter

and its changes

Matter is anything that occupies spaceAnd has mass

The Beginning

The Greeks believed there

were four elements

Early practical chemistry

household goods weapons

soap fermentation basic medicine

earth wind fire water

D ~~D___

D

___

Alchemy

Allegedly this substance would turn cheap metals into gold

the quest for the Philosopherrsquos Stone

(~500 ndash 1300 AD)

(the elixir the Sorcererrsquos Stone)

Alchemical symbols for substanceshellip

GOLD SILVER COPPER IRON SAND

transmutation

we cannot

transmute elements into different elements

changing one substance

into another

COPPER GOLD

Philosopherrsquos

Stone

In ordinary chemical reactionshellip

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 8: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

What is Chemistry

the study of matter

and its changes

Matter is anything that occupies spaceAnd has mass

The Beginning

The Greeks believed there

were four elements

Early practical chemistry

household goods weapons

soap fermentation basic medicine

earth wind fire water

D ~~D___

D

___

Alchemy

Allegedly this substance would turn cheap metals into gold

the quest for the Philosopherrsquos Stone

(~500 ndash 1300 AD)

(the elixir the Sorcererrsquos Stone)

Alchemical symbols for substanceshellip

GOLD SILVER COPPER IRON SAND

transmutation

we cannot

transmute elements into different elements

changing one substance

into another

COPPER GOLD

Philosopherrsquos

Stone

In ordinary chemical reactionshellip

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 9: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Matter is anything that occupies spaceAnd has mass

The Beginning

The Greeks believed there

were four elements

Early practical chemistry

household goods weapons

soap fermentation basic medicine

earth wind fire water

D ~~D___

D

___

Alchemy

Allegedly this substance would turn cheap metals into gold

the quest for the Philosopherrsquos Stone

(~500 ndash 1300 AD)

(the elixir the Sorcererrsquos Stone)

Alchemical symbols for substanceshellip

GOLD SILVER COPPER IRON SAND

transmutation

we cannot

transmute elements into different elements

changing one substance

into another

COPPER GOLD

Philosopherrsquos

Stone

In ordinary chemical reactionshellip

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 10: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

The Beginning

The Greeks believed there

were four elements

Early practical chemistry

household goods weapons

soap fermentation basic medicine

earth wind fire water

D ~~D___

D

___

Alchemy

Allegedly this substance would turn cheap metals into gold

the quest for the Philosopherrsquos Stone

(~500 ndash 1300 AD)

(the elixir the Sorcererrsquos Stone)

Alchemical symbols for substanceshellip

GOLD SILVER COPPER IRON SAND

transmutation

we cannot

transmute elements into different elements

changing one substance

into another

COPPER GOLD

Philosopherrsquos

Stone

In ordinary chemical reactionshellip

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 11: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Alchemy

Allegedly this substance would turn cheap metals into gold

the quest for the Philosopherrsquos Stone

(~500 ndash 1300 AD)

(the elixir the Sorcererrsquos Stone)

Alchemical symbols for substanceshellip

GOLD SILVER COPPER IRON SAND

transmutation

we cannot

transmute elements into different elements

changing one substance

into another

COPPER GOLD

Philosopherrsquos

Stone

In ordinary chemical reactionshellip

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 12: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

transmutation

we cannot

transmute elements into different elements

changing one substance

into another

COPPER GOLD

Philosopherrsquos

Stone

In ordinary chemical reactionshellip

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 13: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Alchemy was practiced in many regions of the

world including China and the Middle East

Alchemy arrived in western Europe

around the year 500 AD

Modern chemistry evolved from alchemy

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 14: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Contributions of alchemists

bull experimental techniquesbull new glasswarebull information about elementsbull developed several alloys

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 15: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Natural Science

Physical Science Earth and Space Science Life Science

Physics Chemistry Geology Astronomy Botany Zoology

Meteorology

Oceanography

Ecology

Genetics

Natural science covers a very broad range of knowledge

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 4

Modern Science

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 16: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Areas of Chemistryorganic

physicalinorganic

biochemistry

studies everything

except carbon

eg compounds

containing metals

the study of carbon

containing compounds

measuring physicalproperties ofsubstances

the chemistry ofliving things

eg the meltingpoint of gold

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 17: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Careers in Chemistry

bull research (new products)bull production (quality control)bull development (manufacturing)bull chemical salesbull software engineeringbull teaching

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 18: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

The skills you will develop by an earnest study

of chemistry will help you in any career field

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 19: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

The Scope of Chemistry

pharmaceuticals

nylon polyester rayon

bulk chemical manufacturing

petroleum products

synthetic fibers

acids bases fertilizers

fuels oils greases asphalt

1 in 10000 new products gets FDA approval

spandex

sulfuric acid (H2SO4) = 1 chemical

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 20: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Government Regulation of Chemicals

The various levels of government regulate

chemicals to protect the

OSHAworker

FDA

USDA

CPSC

consumer

EPAenvironment

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 21: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Chemistry impacts everyone

all fields of endeavor

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 22: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Letrsquos pause for a Quiz

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 23: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Safety ndash Extremely important in the Chemistry

Lab

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 24: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Safety Features of the Lab

safety showerfire blanketfire extinguisher eye wash

These are NOT toys but are important in emergencies

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 25: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

SAFETY in the Science Classroom

Obey the safety contractndash Use common sensendash No unauthorized experimentsndash Wear safety glassesndash Safety is an attitudendash Donrsquot take anything out of labndash Read and follow all instructions

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 26: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Toxicity

Which is more toxic

httplanscelanlgovtrainingFST2004images04chemicals1gif

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 27: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Material Safety Data Sheet (MSDS)

gives informationabout a chemical

-- lists ldquoDosrdquo and ldquoDonrsquotsrdquo

emergency procedures

--

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 28: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Chemical Exposure

a one-time exposure that causes damage

acute exposure vs chronic exposure

damage occurs after repeated exposure

reaction to drugs

or medicationeg eg smoking

asbestos

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 29: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

How Toxic is ldquoToxicrdquo

bull Flammablebull Explosivebull Radioactivebull Corrosivebull Irritantbull Carcinogenic (cancer causing)bull Mutagenic (mutations)bull Teratogenic (birth defects)

Chemicals may cause harm in many different ways

>
>
>

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 30: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Science

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 31: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

The Functions of Science

pure science applied science

the search for knowledge facts

using knowledgein a practical way

eg properties of aluminum

strong

lightweight

good conductor

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 32: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Corning Glass

NASArsquos Problem Design a materialthat is clear and can with-stand extreme differences in temperature without fail-ing (cracking)

Corning Glass Company FAILEDhellipbut SUCCEEDED at making great cookware that can withstand extremes in temperature Design a face shield

to protect and provideclear vision

>

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 33: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Aluminum Mining

bull 1850s aluminum sold for $500 lb

bull Charles Martin Hallbull Developed method to

extract aluminum from bauxite

bull Hallrsquos methodndash As a result $030lb

4-6 pounds bauxite

current 1 lb Al

+

=

>

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 34: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Science attempts to establish causeeffect relationships

Science can NEVER prove a causeeffect relationship only make a

correlationhellip

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 35: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

risk-benefit analysis

weigh pros and cons before deciding

Because there are many considerations for each case ldquoblackwhite thinkingrdquo rarely

applies It is usually shades of grey

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 36: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

How doesscientific

knowledgeadvance

1 curiosity2 determination3 persistence4 good observations

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 37: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

The Scientific Method

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 38: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

The Skeptical Chemist

Robert Boyle

In ldquoThe Sceptical Chymistrdquo

Boyle stated that scientific speculation was worthless unless it was supportedby experimental evidence

This principle led to the development of the scientific method

(1661)

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 39: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Key Be a good observer

observation inference

involves a judgmentor an assumption

uses the fivesenses

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 40: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Types of DataObservations are also called data

qualitative data quantitative data

colorless liquid --

-- eg eg

descriptions

measurements 17 mL 83oC

(vs clear liquid)

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 41: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Candle Observation Activity

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 42: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

A Description of a Burning Candle

A photograph of a burning candle is shown1 in the upper right corner The candle is cylindrical2 and has a diameter3 of about 3 cm The length of the candle was initially about 16 centimeters4 and it changed slowly5 during observation decreasing about 1 cm in one hour6 The candle is made of a translucent7 white8 solid9 which has a slight odor10 and no taste11 It is soft enough to be scratched with the fingernail12 There is a wick13 which extends from top to bottom14 of the candle along its central axis15 and protrudes about 5 mm above the top of the candle16 The wick is made of three strands of string braided together17 A candle is lit by holding a source of flame close to the wick for a few seconds Thereafter the source of flame can be removed and the flame sustains itself at the wick18 The burning candle makes no sound19 While burning the body of the candle remains cool to the touch20 except near the top Within about 15 cm of the top the candle is warm21 (but not hot) and sufficiently soft to mold easily22 The flame flickers in response to air currents23 and tends to become quite smoky while flickering24 In the absence of air currents the flame is of the form shown in the photograph though it retains some movement at all times25 The flame begins about 2 mm above the top of the candle26 and at itsbase the flame has a blue tint27 Immediately around the wick in a region about 2 mm wide and extending about 5 mm above the top of the wick28 the flame is dark29 This dark region is roughly conical in shape30 Around this zone and extending about 1 cm above the dark zone is a region which emits yellow light31 bright but not blinding32 The flame has rather sharply defined sides33 but a ragged top34 The wick is white where it emerges from the candle35 but from the base of the flame to the end of the wick36 it is black appearing burnt except for the last 05 cm where it glows red37 The wick curls over about 3 mm from its end38 As the candle becomes shorter the wick shortens too so as to extend roughly a constant length above the top of the candle39 Heat is emitted by the flame40 enough so that it becomes uncomfortable in 10 to 20 seconds if one holds his finger 10 cm to the side of the quiet flame41 or 10 ndash 12 cm above the flame42

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 43: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Parts of the Scientific Method1 Identify an unknown

2 Make a hypothesis a testable prediction

3 Repeatedly experiment to test

hypothesis

a procedure order of events in

experiment

b variable any factor that couldinfluence the result

(ie a recipe of what was done)

4 conclusion must be supported with evidence from the data collected

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 44: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

A ScientificExperiment

Experiments must be controlled

Only one variable can be changed at a time The rest must be kept constant This allows the scientist to see what effect changing the IV has on the system

Independent variable

Dependent variable

the variable that is

manipulated (x-axis in a graph)

the variable that is measured It changes as you change the IV (y-axis)

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 45: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

A Controlled Experiment

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 46: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Make observationMake observation

Ask questionAsk question

Develophypothesis

Develophypothesis

Test hypothesis with an

experiment

Test hypothesis with an

experiment

Analyze dataand draw

conclusions

Analyze dataand draw

conclusions

Hypothesis IS

supported

Hypothesis IS

supported

Hypothesis is NOT

supported

Hypothesis is NOT

supported

Developtheory

Developtheory

Test hypothesis with furtherexperiments

Test hypothesis with furtherexperiments

Revisehypothesis

Revisehypothesis

Wysession Frank Yancopoulos Physical Science Concepts in Action 2004 page 8

Scientific Method

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 47: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Letrsquos pause for a Quiz

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 48: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Scientific Law vs Scientific Theory

law states what happens ie a relationship between various quantities

-- eg Newtonrsquos law of

gravity

-- Laws are often written in

the form ofhellip an equation1 22g

G m mF

r

laws of conservation

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 49: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Theory of Gravity

Atomic Theory

tries to explain WHY or

HOW something happens

theory

-- eg

-- based on current evidence

images of nickel atomstaken by an STM

a scanning tunneling microscope (STM)

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 50: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Manipulating Numerical Data

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 51: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Graphs

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 52: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Bar Graphshows how many of something

are in each category

0

2

4

6

8

10

A B C D F

Chemistry Grades

o

f st

ud

ents

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 53: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Pie Graph shows how a whole is broken into parts

Entertainment (40)

Food (25)

Clothing (20)

Savings (15)

Percentage ofWeekly Income

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 54: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Line Graphshows continuous change

0

10

20

30

40

50

60

Jan Feb Mar Apr

Month

Sh

are

Pri

ce (

$)

Stock Price over Time

you will always use a line graph In chemistryhellip

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 55: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Elements of a ldquogoodrdquo line graph

2 axes labeled with units

Temp v Vol for a Gas at Constant Pressure

0123456789

10

120 140 160 180 200 220 240

Temp (K)

Vo

lum

e (

L)

4 use the available space

1 title

3 neat

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 56: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Graphing HW

TimeTotal Dist

cycled (km)8 am 0

9 am 12

10 am 23

11 am 33

noon 42

1 pm 50

2 pm 57

3 pm 63

4 pm 688 am 9 am 10 am 11 am noon 1 pm 2 pm 3 pm 4 pm

0

10

20

30

40

50

60

70

80

Total Distance Cycled (km)

Time (h)

Dis

tan

ce C

ycle

d (

km)

Extrapolation predicting a pattern outside of a data set using the graph

Interpolation estimating a data point within the set of data using the pattern of the graph

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 57: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Letrsquos Pause for a Test

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 58: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Essential Mathof Chemistry

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 59: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Scientific Notationhellipused to express very large or very small

numbers Also used to maintain correct Significant Figures

Form ( from 1 to 9999) x 10exponent

800 = 8 x 10 x 10

= 8 x 102

2531 = 2531 x 10 x 10 x 10

= 2531 x 103

00014 = 14 10 10 10

= 14 x 10ndash3

(-) exponent = number lt 1 (+) exponent = number gt 1

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 60: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Put in standard form

187 x 10ndash5 = 00000187

37 x 108 = 370000000

788 x 101 = 788

2164 x 10ndash2 = 002164

Change to scientific notation

12340 = 1234 x 104

0369 = 369 x 10ndash1

0008 = 8 x 10ndash3

1000000000 = 1 x 109

602 x 1023 = 602000000000000000000000

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 61: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Using the Exponent Key EXPEE

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 62: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

The EE or EXP or E key means ldquotimes 10 to thehelliprdquo

How to type out 602 x 1023

6 EE 0 32 2

6 y x 0 32 2

x 16 0 2 EE 320

y x 32x 16 0 2 0

nothellip

orhellip

and nothellip

How to type out 602 x 1023

6 EE 0 32 2

WRONG

WRONG

TOO MUCH WORK

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 63: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Also know when to hit your (ndash) sign

(before the number

after the number

or either one)

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 64: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Now letrsquos do some multiplication and division

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 65: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

43 x 10ndash15 43 E ndash15or

12 x 105 28 x 1019

But instead is writtenhellip

=

1 2 EE 5

92 8 EE 1

Type this calculation in like this

This is NOT writtenhellip 43ndash15

42857143 ndash15Calculator giveshellip

42857143 Endash15orhellip

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 66: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

ndash65 x 10ndash19

535 x 103 or 5350

29 x 1023

75 x 10ndash6 (ndash87 x 10ndash14) =

435 x 106 (123 x 10ndash3) =

576 x 10ndash16 986 x 10ndash4 =

88 x 1011 x 33 x 1011 =

584 x 10ndash13

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 67: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

All numerical data are the result

of uncertain measurements

8 m

Accuracy and Precision

precision a measure of the degree of

fineness of a measurement it

depends on the extent to which the

instrument is calibrated

eg vs 800 m vs 800000 m

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 68: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

0653 m

When repeated precise measurements yield similar answers each time

eg precisehellip

imprecisehellip

0652 m

0654 m

07 m

08 m

06 m

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 69: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

accuracy how close a measured

value is to the true value

Three types of error can affect accuracy

human error

method error

instrument error

(minimized with repeated measurements)

eg parallax in measuring with a meter stick

eg bathroom scale that always reads 5 lbs too heavy

mistake in reading instrument

or recording results

measuring device is

improperly calibrated

using measuring instrument improperly

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 70: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Percent Error

bull Indicates accuracy of a measurement

001

accepted

alexperimenterror

accepted

your value

accepted valueCourtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 71: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Percent Errorbull A student determines the density of a

substance to be 140 gmL Find the error if the accepted value of the density is 136 gmL

100gmL 136

gmL 136gmL 140error

error = 29

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 72: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Significant Figures

bull Indicates precision of a measurementbull Sig figs in a measurement include the known

digits plus a final estimated digit

235 cm

Courtesy Christy Johannesson wwwnisdnetcommunicationsartspageschem

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 73: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Practice Measuring

45 cm

454 cm

30 cm

Timberlake Chemistry 7th Edition page 7

cm0 1 2 3 4 5

cm0 1 2 3 4 5

cm0 1 2 3 4 5

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 74: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Significant Figures ExampleA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples 9287 mL NO

Because the samples were each measured with a different level of precision we must factor that into our calculations by identifying significant figures (sig figs)

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 75: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Measurement and Precisionbull The last digit of any measured number is

assumed to be an estimate (uncertain)bull The second to last digit is assumed to be

known with certainty

A (255 mL) B (1637 mL) C (51 mL)

26

25 164

163

60

50

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 76: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Rules for Identifying the Number of Significant Figures

Counting SF in a numberNon-zero numbers ALWAYS count as SFZeroes

Left NEVER count as SF (0000345)Middle ALWAYS count as SF (5001)Right sometimeshellip

w decimal point count as SF (2510)wo decimal point DO NOT count as SF (8200)

Exact Numbers IGNORE SF (assumed to have an infinite number of SF)

Counts (28 students in this class)Constants (1 mol = 6022 x 1023)Conversions (1 in = 254 cm)

Relative to the non-zero numbers

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 77: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

How many Sig Figs

Measurement Number of SF Measurement Number of SF

25 g

0030 kg

1240560 x 106 mg

6 x 104 sec

24631 g

2006 cm

1050 m

012 kg

1240560 cm

6000000 kg

600 x 106 kg

409 cm

29200 dm

002500 g

2

2

7

1

5

4

4

2

7

1

3

3

5

4

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 78: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Sig Figs with CalculationsNote For any calculations always perform the entire calculation without rounding and then round the final answer

AdditionSubtractionbull Round the answer to the LEAST number of

decimal places found (least precise)1131 + 33264 + 41 = 48674

MultiplicationDivisionbull Round the answer to the smallest number of

SF found5282 x 342 = 1806444

rarr rounded to 487

rarr rounded to 181 (342 only has 3 SF)

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 79: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Back to the original questionhellipA student is combining separate water samples all of differing volumes into one large bucket Samples A B and C are 255 mL 1637 mL and 51 mL respectively Once combined what is the total volume of all the samples

255 mL + 1637 mL + 51 mL = 9287 mL

93 mL

Could I write that as 930 NO

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 80: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Round to the correct number of significant figures

Calculator sayshellip 2 sig figs 3 sig figs 5 sig figs

756

0528396

387600

4200

84845E-4

76 756 75600

38760 x 105388000390000

0528400528053

85 x 10ndash4

42000 x 103 420 x 1034200

848 x 10ndash4 84845 x 10ndash4

= requires scientific notation

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 81: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Units must be carried into the

answer unless they cancel

064 kgms2

52 kg (29 m)

(18 s)(13 s)=

48 g (23 s)

(18 s)(37 s)= 017 g

s

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 82: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Solve for x x + y = z

x + y = z ndash y ndash y

x = z ndash y

x and y are connected by addition Separate them using subtraction In general use opposing functions to separate things

The +y and ndashy cancel on the left

leaving us withhellip

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 83: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Solve for x x ndash 24 = 13

x ndash 24 = 13 +24 +24

x = 37

x and 24 are connected by subtraction Separate them using the opposite function addition

The ndash24 and +24 cancel on the left

leaving us withhellip

Numerical Example

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 84: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Solve for x F = k x

F = k xk k

x = Fk __

x and k are connected by multiplication Separate them using the opposite function division

( )__1k

F = k x( )__1k

(or)

The two krsquos cancel on the right

leaving us withhellip

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 85: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Numerical Example

Solve for x 8 = 7 x

8 = 7 x7 7

x and 7 are connected by multiplication Separate them using the opposite function division

( )__17

8 = 7 x( )__17

(or)

The two 7rsquos cancel on the right

leaving us withhellipx =

87 __

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 86: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Solve for x ___ x

BA = TRH

___

BAH = xTR

One way to solve this is to cross-multiply BAH = xTR

Then divide both sides by TR

The answer ishellip ___BAHTR

x =

1TR( )___1

TR( )___

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 87: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Solve for T2 wherehellip

P1 = 108 atm

P2 = 086 atm

V1 = 322 L

V2 = 143 L

T1 = 373 K

P1V1T2 =P2V2T1

____ T1

P1V1 = P2V2

T2

____

1P1V1

( )____ 1P1V1

( )____

T2 = P1V1

______P2V2T1

130T2 = (108 atm)(322 L)_____________________(086 atm)(143 L)(373 K)

= K

Yes you will do math like this You will learn to love it

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 88: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Letrsquos pause for a Quiz

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 89: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

The Metric System

from

Indu

stry

Wee

k 1

981

Nov

embe

r 30

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 90: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

The SI (Metric) Systembull Recall

kilo hecto deca

Base Units

metergramliter

deci centi milli

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 91: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

How can you remember the order of the metric system prefixes

bull King Henry Died by Drinking Chocolate Milk (Use this pneumonic device)ndash King Kilondash Henry Hectondash Died Decandash By Base (m L g)ndash Drinking Decindash Chocolate Centindash Milk Milli

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 92: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Prefixes to know in the SI (Metric) System

Power of 10 for Prefix Symbol Meaning Scientific Notation_______________________________________________________________________

mega- M 1000000 106

kilo- k 1000 103

deci- d 01 10-1

centi- c 001 10-2

milli- m 0001 10-3

micro- m 0000001 10-6

nano- n 0000000001 10-9

The Commonly Used Prefixes in the SI System

Zumdahl Zumdahl DeCoste World of Chemistry 2002 page 118

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 93: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Common SI Equivalents

Also

1 mL = 1 cm3 and 1 L = 1 dm3

You will be responsible for knowing these

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 94: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Letrsquos have another quiz

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 95: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Conversion Factors andUnit Cancellation

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 96: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

How many cm are in 132 meters

conversion factors

equality

or

132 m = 132 cm

1 m = 100 cm

______1 m100 cm

We use the idea of unit cancellation

to decide upon which one of the two

conversion factors we choose

______1 m

100 cm

1 m100 cm

(or 001 m = 1 cm)

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 97: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

How many m is 872 cm

conversion factors

equality

or

872 cm = 00872 m

1 m = 100 cm

______1 m100 cm

Again the units must cancel

______1 m

100 cm

1 m100 cm

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 98: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

How many kilometers is 15000 decimeters

15000 dm

= 15 km1000 m

1 km10 dm

1 m

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 99: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

How many seconds is 438 days

= 378432 s1 h

60 min24 h1 d 1 min

60 s____( ) ( )____( )_____438 d

378 x 105 sIf we are accounting for significant figures we would change this tohellip

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 100: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

4 Convert 412 cm2 to mm2

412 cm2

Recall thathellip 1 cm = 10 mm

= 4120 mm2

1 cm2

102 mm2

( )2 ( )2

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 101: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Simple Mathwith

Conversion Factors

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 102: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Find area of rectangle

A = L W

= (46 cm)(91 cm)

91 cm= 42 cm2 cm

46 cm

Convert to m2 42 cm2 ( )______100 cm

1 m 2 = 00042 m2

Convert to mm2 42 cm2 ( )______ 1 cm10 mm 2 = 4200 mm2

cmcm

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 103: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

For the rectangular solid

Find volume

Length = 142 cm

Width = 86 cm

Height = 215 cm

V = L W H

= (142 cm)(86 cm)(215 cm)

= 2600 cm3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 104: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Density how tightly packed the particles are

Density =

Typical units

gcm3 for solids gmL for fluids

Vm D

volumemass m

V D

liquids and gases

Glass liquid or solid

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 105: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

To find volume usehellip

1 a formula

water displacement

V = l ∙ w ∙ hV = p ∙ r2 ∙ h

V =

VfinalVinitial

Vobject = Vfinal ndash Vinitial

2

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 106: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Density Calculations

1 A sample of lead (Pb) has mass 2270 g and volume 2000 cm3

Find samplersquos density

Vm

D 3cm 20g 227

m

V D

2 Another sample of lead occupies 162 cm3

of space Find samplersquos mass

33 cm 162

cmg

1135 m = D V = 184

3cmg

= 1135

g

V

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 107: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Indiana Jones Density

bull Watch the famous opening scene to Indiana Jones and the Raiders of the Lost Ark

bull The ldquopure goldrdquo idol has a density of 193 gcm3 How much would it mass

bull Indy replaces the idol with a bag of sand (density = 25 gcm3) Why did he activate the booby trap How much sand should he have used

bull Did you see that toss at the end How much would the idol weigh in lbs (22 lb per kg)

19300 g

7720 cm3 or 772 L

425 lbs

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 108: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

3cmg

3 A 119 g solid cylinder has radius 180 cm and height 150 cm Find samplersquos density

15 cm

18 cm

m

V D

m

V = p r2 h

Vm

D

= p (18 cm)2(15 cm)

= 15268

3cm 15268

g 1195 = 779

cm3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 109: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

4 A 153 g rectangular solid has edge lengths 820 cm 510 cm and 470 cm Will this object sink in water

82 cm

51 cm

47 cm

m

V D

Vm

D

(Find the objectrsquos density and compare it to waterrsquos density)

m

V = l w h

= 820 cm (510 cm)(470 cm)

3cmg

= 19655

3cm 19655

g 153 = 0778

cm3

lt 1 No it floats

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 110: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Galilean Thermometer ProblemOn a cold morning a teacher walks into acold classroom and notices that all bulbsin the Galilean thermometer are huddledin a group Where are the bulbs At thetop of the thermometer at the bottom or elsewhere

1 Bulbs have essentially fixed masses

and volumes Therefore each bulb has a fixed density 2 The surrounding liquid has a fixed

mass but its volume is extremely

temperature-dependent

D1

D2

D3

D4

D5

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 111: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

D1

D2

D3

D4

D5

3 The density of the liquid can be written ashellip

liq

liqliq V

m D sohellip

hellipif the liquid is cold hellipbut if itrsquos hot

mliq =

On a cold morningwhere are the bulbs AT THE TOP

Vliq

mliq Dliq=

VliqDliq

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 112: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Basic Concepts in Chemistry

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 113: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

chemical any substance that takes part in

or occurs as a result of

a chemical reaction

All matter can be considered to be

chemicals or mixtures of chemicals

chemical reaction a rearrangement ofatoms such thathellip

ldquowhat you started withrdquodiffers from

ldquowhat you end up withrdquo products

reactants

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 114: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

methane + oxygen

+ H2O(g)

carbondioxide

O2(g) CO2(g)CH4(g) +

water+

22

Reactants Products

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 115: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

NaOH(aq)

water

Na(s) H2O(l) H2(g) 2

sodium

2 2

hydrogen sodiumhydroxide

+ +

+ +

Reactants Products

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 116: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Law of Conservation of Mass

total mass total mass

of products of reactants

Pmass = Rmass

=

2 Cu + H2O + CO2 + O2 CuCO3 + Cu(OH)2

Copper ldquopatinardquo is a mixture ofcopper(II) carbonate and copper(II) hydroxide

It has a characteristic green color

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier
Page 117: Unit 1 Introduction to Chemistry Chapter 1 Read sections 1.1; 1.2 and 1.3

Letrsquos read about Lavoisier

bull Letrsquos watch a video on Lavoisierrsquos hypothesis regarding the conservation of mass

  • Unit 1 Introduction to Chemistry
  • Worldview A perspective from which we see and interpret all of
  • The Creation Mandate
  • 1st and 2nd Commandment
  • Dominion Science
  • What if microbes were intelligent Worldview
  • Slide 7
  • What is Chemistry
  • Slide 9
  • The Beginning
  • Alchemy
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Areas of Chemistry
  • Careers in Chemistry
  • Slide 18
  • The Scope of Chemistry
  • Government Regulation of Chemicals
  • Slide 21
  • Letrsquos pause for a Quiz
  • Safety ndash Extremely important in the Chemistry Lab
  • Safety Features of the Lab
  • SAFETY in the Science Classroom
  • Toxicity
  • Material Safety Data Sheet (MSDS)
  • Chemical Exposure
  • How Toxic is ldquoToxicrdquo
  • Science
  • The Functions of Science
  • Corning Glass
  • Aluminum Mining
  • Slide 34
  • Slide 35
  • How does scientific knowledge advance
  • The Scientific Method
  • The Skeptical Chemist
  • Slide 39
  • Types of Data
  • Candle Observation Activity
  • A Description of a Burning Candle
  • Parts of the Scientific Method
  • A Scientific Experiment
  • A Controlled Experiment
  • Slide 46
  • Letrsquos pause for a Quiz (2)
  • Scientific Law vs Scientific Theory
  • Slide 49
  • Manipulating Numerical Data
  • Graphs
  • Bar Graph
  • Pie Graph
  • Line Graph
  • Elements of a ldquogoodrdquo line graph
  • Graphing HW
  • Letrsquos Pause for a Test
  • Essential Math of Chemistry
  • Scientific Notation
  • Slide 60
  • Using the Exponent Key
  • Slide 62
  • Slide 63
  • Now letrsquos do some multiplication and division
  • Slide 65
  • Slide 66
  • Slide 67
  • Slide 68
  • Slide 69
  • Percent Error
  • Percent Error (2)
  • Significant Figures
  • Practice Measuring
  • Significant Figures Example
  • Measurement and Precision
  • Rules for Identifying the Number of Significant Figures
  • How many Sig Figs
  • Sig Figs with Calculations
  • Back to the original questionhellip
  • Slide 80
  • Slide 81
  • Slide 82
  • Numerical Example
  • Slide 84
  • Numerical Example (2)
  • Slide 86
  • Slide 87
  • Letrsquos pause for a Quiz (3)
  • The Metric System
  • The SI (Metric) System
  • How can you remember the order of the metric system prefixes
  • Prefixes to know in the SI (Metric) System
  • Common SI Equivalents
  • Letrsquos have another quiz
  • Conversion Factors and Unit Cancellation
  • Slide 96
  • Slide 97
  • Slide 98
  • Slide 99
  • Slide 100
  • Simple Math with Conversion Factors
  • Slide 102
  • Slide 103
  • Slide 104
  • Slide 105
  • Slide 106
  • Indiana Jones Density
  • Slide 108
  • Slide 109
  • Slide 110
  • Slide 111
  • Basic Concepts in Chemistry
  • Slide 113
  • Slide 114
  • Slide 115
  • Law of Conservation of Mass
  • Letrsquos read about Lavoisier