introductory chemistry: chemistry and you chapter 1
TRANSCRIPT
Introductory Chemistry:Introductory Chemistry:
Chemistry Chemistry and Youand You
Chapter 1
Tuesday, 9/9/14
• Learning Target: Students must be able to explain why chemistry is central to many human endeavors.
Chapter 1 2
Chapter 1 3
Learning Chemistry• Different people learn
chemistry differently.
• What do you see in the picture?
• Some people see a vase on a dark background, some people see two faces.
Chapter 1 4
Problem Solving• Connect the 9 dots using only four straight lines.
• Experiment until you find a solution.
• However, we have used 5 straight lines.
• No matter which dot we start with, we still need 5 lines.
Chapter 1 5
Problem Solving• Are we confining the
problem?
• We need to go beyond the 9 dots to answer the problem.
Lab Safety SymbolsIdentify the following symbols
A. B. C.
D. E. F.
G. H. I.
• What is the definition of chemistry?
– The science that studies the composition of matter and its properties.
Chapter 1 8
Chemistry: The Central Science
• Why????
• Most other sciences demand an understanding of basic chemical principles, and Chemistry is often referred to as the Central Science
Chapter 1 9
Modern Chemistry• Chemistry is a science that studies the composition of
matter and its properties.
• Chemistry is divided into several branches:
– Organic chemistry is the study of substances containing carbon
– Inorganic chemistry is the study of all other substances
– Biochemistry is the study of substances derived from plants and animals
– Analytical is the study of matter and ways to study the properties of matter.
– Physical is the physics of chemistry. Thermodynamics and quantum mechanics.
Wednesday, 9/10/14
Learning Target:
Students must know the metric system, SI units and derived units.
Learning Outcome:
Measurement Pre-Lab
Chapter 1 10
The Standard Units• Scientists have agreed on a set of
international standard units for comparing all our measurements called the SI units
Quantity Unit Symbol
length meter m
mass kilogram kg
time second s
temperature kelvin K
Length• SI unit = meter
– About a yard• Commonly use centimeters (cm)
– 1 m = 100 cm– 1 cm = 0.01 m = 10 mm– 1 inch = 2.54 cm
Mass• Measure of the amount of matter
present in an object– weight measures the gravitational pull
on an object, which depends on its mass
• SI unit = kilogram (kg)– about 2 lbs. 3 oz.
• Commonly measure mass in grams (g) or milligrams (mg)
Time
• measure of the duration of an event
• SI units = second (s)
Temperature Scales
• Fahrenheit Scale, °F– used in the U.S.
• Celsius Scale, °C– used in all other countries
• Kelvin Scale, K– The SI unit for
temperature
Prefix Multipliers in the SI System
Prefix SymbolDecimal
EquivalentPower of 10
mega- M 1,000,000 Base x 106
kilo- k 1,000 Base x 103
deci- d 0.1 Base x 10-1
centi- c 0.01 Base x 10-2
milli- m 0.001 Base x 10-3
micro- 0.000 001 Base x 10-6
nano- n 0.000 000 001 Base x 10-9
pico p 0.000 000 000 001 Base x 10-12
What Is a Measurement?
• quantitative observation
• every measurement has a number and a unit
• every digit written is certain, the last one which is estimated
Estimation in Weighing
• What is the uncertainty in this reading?
Thursday, 9/11/14
Learning Target:
Students must be able to compare and contrast accuracy and precision in measurement.
Learning Outcome:
Complete “Measurement Lab”
Chapter 1 20
Uncertainty in Measured Numbers
uncertainty comes from:• limitations of the instruments used for
comparison, • the experimental design, • the experimenter, • nature’s random behavior
Precision and Accuracy• accuracy is an indication of how close a
measurement comes to the actual value of the quantity
Percent error =
• precision is an indication of how reproducible a measurement is
Accuracy vs. Precision
Precision• imprecision in measurements is caused
by random errors– errors that result from random fluctuations
• we determine the precision of a set of measurements by evaluating how far they are from the actual value and each other called standard deviation.
• Do multiple trials to lesson error and improve precision.
Accuracy• inaccuracy in measurement caused by
systematic errors– errors caused by limitations in the instruments
or techniques or experimental design
• we determine the accuracy of a measurement by evaluating how far it is from the actual value
• Use percent error to calculate how accurate you are
Mass & Volume• mass and volume are extensive
properties– the value depends on the quantity of
matter– extensive properties cannot be used to
identify what type of matter something is• if you are given a large glass containing 100 g
of a clear, colorless liquid and a small glass containing 25 g of a clear, colorless liquid - are both liquids the same stuff?
Mass vs. Volume of BrassMass grams
Volume cm3
20 2.4
32 3.8
40 4.8
50 6.0
100 11.9
150 17.9
Monday 9/15/14
Learning Target:
Know how to use significant figures in labs and in problems.
Learning Outcome:
Complete significant figures problems.
Chapter 1 28
Chapter 1 29
Accuracy versus Precision
Significant Figures
• the non-place-holding digits in a reported measurement are called significant figures
• significant figures tell us the range of values to expect for repeated measurements
• We use significant figures in science because measurement is always involved.
Counting Significant Figures
1) All non-zero digits are significant– 1.5 has 2 sig. figs.
2) Interior zeros are significant– 1.05 has 3 sig. figs.
3) Leading zeros are NOT significant –0.001050 has 4 sig. figs.
Counting Significant Figures
4) Trailing zeros may or may not be significant 1) If a decimal is present, trailing zeros are significant
• 1.050 has 4 sig. figs.
2) If a decimal is NOT present, trailing zeros are NOT significant.
• if 150 has 2 sig. figs. then 1.5 x 102
• but if 150. has 3 sig. figs. then 1.50 x 102
**These are considered ambiguous and should be avoided by using scientific notation
Determining the Number of Significant Figures in a Number
How many significant figures are in each of the following?
0.04450 m
5.0003 km
1.000 × 105 s
0.00002 mm
10,000 m
4 sig. figs.; the digits 4 and 5, and the trailing 0
5 sig. figs.; the digits 5 and 3, and the interior 0’s
4 sig. figs.; the digit 1, and the trailing 0’s
1 sig. figs.; the digit 2, not the leading 0’s
Ambiguous, generally assume 1 sig. fig.
Multiplication and Division with Significant Figures
• when multiplying or dividing measurements with significant figures, the answer must reflect the fewest number of significant figures
1) 5.02 × 89,665 × 0.10 =
2) 5.892 ÷ 6.10 =
Addition and Subtraction with Significant Figures
• when adding or subtracting measurements with significant figures, the answer should reflect the largest uncertainty
1) 5.74 + 0.823+ 2.651 =
2) 4.8 - 3.965 =
Roundingif the number after the place of the last significant
figure is:0 to 4, round down
– drop all digits after the last sig. fig. and leave the last sig. fig. alone
5 to 9, round up– drop all digits after the last sig. fig. and increase the last
sig. fig. by one
To avoid accumulating extra error from rounding, round only at the end, keeping track of the last sig. fig. for intermediate calculations
Roundingrounding to 2 significant figures
• 2.34 rounds to 2.3
• 2.37 rounds to 2.4
• 2.349865 rounds to 2.3
Roundingrounding to 2 significant figures
• 0.0234 rounds to 0.023
• 0.0237 rounds to 0.024
• 0.02349865 rounds to 0.023
Roundingrounding to 2 significant figures
• 234 rounds to 230
• 237 rounds to 240
• 234.9865 rounds to 230
Both Multiplication/Division and Addition/Subtraction with
Significant Figures
• First, evaluate the significant figures in the parentheses
• Second, do the remaining steps3.489 × (5.67 – 2.3) =
Perform the following calculations to the correct number of significant figures
4555.30015.45120.010.1 a)
5820.100
1.105
355.0
33.4526755.45299870.3562.4 c)
02.855.084.14 d)
b)
Example 1.6 Perform the following calculations to the correct number of
significant figures652.065219.04555.30015.45120.010.1 a)
4.9 8730.4
5820.100
1.105
355.0
80.5279904.5233.4526755.45299870.3562.4 c)
14.0142.002.855.084.14 d)
b)
Tuesday 9/16/14
Learning Target:
Know how to use and convert numbers into scientific notation.
Learning Outcome:
I will be able to use scientific notation in problems and convert standard notation into scientific notation.
Chapter 1 43
• Why are significant figures not important in your math class?
Chapter 1 44
Density• Ratio of mass:volume
– Solids = g/cm3
• 1 cm3 = 1 mL
– Liquids = g/mL– Gases = g/L
• Volume of a solid can be determined by water displacement – Archimedes Principle
Density
• Density : solids > liquids >>> gases– except ice is less dense than
liquid water!
• Heating an object generally causes it to expand, therefore the density changes with temperature
Density
• Iron has a density of 7.86 g/cm3. Could a block of metal with a mass of 18.2 g and a volume of 2.56 cm3be iron?
Density
• What volume would a 0.871 g sample of air occupy if the density of air is 1.29 g/L?
Wednesday, 9/17/14
Learning Target:
Be able to apply dimensional analysis to convert from one unit of measure to another.
Learning Outcome:
I will be able to complete single-step unit conversion problems.
Chapter 1 49
Units• Always include units in your calculations
– you can do the same kind of operations on units as you can with numbers
• cm × cm = cm2
• cm + cm = cm• cm ÷ cm = 1
Dimensional Analysis
• Using units as a guide to problem solving is called dimensional analysis
• This is the technique that we have learned to convert between two different units.
Problem Solving and Conversion Factors
• Conversion factors are relationships between two units– May be exact or measured
• Conversion factors are generated from unit equalities– e.g., 1 inch = 2.54 cm can give
or
in1
cm54.2cm54.2
in1
Problem Solving and Dimensional Analysis
• Arrange conversion factors so given unit cancels
– Arrange conversion factor so given unit is on the bottom of the conversion factor
• May string conversion factors
– So we do not need to know every relationship, as long as we can find something else the given and desired units are related to
unit desiredunitgiven
unit desiredunitgiven
• Using a ruler from the front counter, measure the length, width and height of a Chemistry textbook to the nearest 1 cm.
• How many meters wide is it?
• How many inches is the width of the textbook (2.54 cm = 1 in)?
• How many feet is your textbook?
54
Thursday, 9/18/14
Learning Target:
Be able to apply dimensional analysis to convert from one unit of measure to another.
Learning Outcome:
I will be able to complete multi-step unit conversion problems.
Chapter 1 55
Warm-Up
Convert – 232.1 kPa to Pa
Chapter 1 56
Practice – Convert 154.4 lbs to kg
Practice – Convert 30.0 mL to quarts(1 L = 1.057 qt)
Volume• Derived unit (width x length x height)
– any length unit cubed• Measure of the amount of space
occupied• SI unit = cubic meter (m3)• Commonly measure solid volume in
cubic centimeters (cm3)– 1 m3 = 106 cm3
• Commonly measure liquid or gas volume in milliliters (mL)– 1 L is slightly larger than 1 quart– 1 mL = 1 cm3
How many cubic centimeters are there in 2.11 yd3?
Impossible Conversions
• Is it possible to find how many seconds in a kilogram?
• In order to do unit conversions they must be able to correspond to the same quantity.– For example, kilograms and pounds are both
units of mass.
Graphing in Science
• All graphing that is done in science must include the following:
1. A descriptive title
2. X and Y axis labeled with units.
3. The X – axis is the manipulated variable and the Y- axis is the responding variable.
4. A trend line (or line of best fit) to show the trend in the data that has been plotted.
Volume vs. Mass of Brass
0
20
40
60
80
100
120
140
160
0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0
Volume, cm3
Mas
s, g
Convert 30.0 mL to quarts
Units & magnitude are correctCheck:• Check
0.03171 qt = 0.0317 qtRound:• Sig. figs. and
round
Solution:• Follow the concept plan to solve the problem
1 L = 1.057 qt1 L = 1000 mL
Concept Plan:
Relationships:
• Strategize
154.4 lbsLbs to kg
Given:Find:
• Sort information
65
Scientific Investigations
• Science is the methodical exploration of nature followed by a logical explanation of the observations.
• Scientific investigation entails:– planning an investigation– carefully recording observations– gathering data– analyzing the results
Chapter 1 66
The Scientific Method
• The scientific method is a systematic investigation of nature and requires proposing an explanation for the results of an experiment in the form of a general principle.
• The initial, tentative proposal of a scientific principle is called a hypothesis.
• After further investigation, the original hypothesis may be rejected, revised, or elevated to the status of a scientific principle.
Scientific Method
the careful noting and recording of natural phenomena
a test of a hypothesis or theory
a tentative explanation of a single or small number of natural phenomena
a general explanation of natural phenomena
a generally observed natural phenomenon
Chapter 1 68
Conclusions Continued• After sufficient evidence, a hypothesis becomes a
scientific theory.
• A natural law is a measurable relationship.
Chapter 1 69
Conclusions
• Scientists use the scientific method to investigate the world around them.
• Experiments lead to a hypothesis, which may lead to a scientific theory or a natural law.
• Chemistry is a central science with many branches.
• The impact of chemistry is felt in many aspects of our daily lives.
QUIZE - CHAPTER -1
1. What is the difference between a hypothesis and theory
2. According to the ancient Greeks, which of the following are not basic elements found in nature:
I. Air
II. Coal
III. Fire
IV. Earth
V. Gold
VI. WaterChapter 1 70