chemistry september 30, 2014 si/significant figures/scientific notations

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CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

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Page 1: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

CHEMISTRYSEPTEMBER 30, 2014

SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

Page 2: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

SCIENCE STARTER

• Verbal Science Starter

Page 3: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

OBJECTIVE

• SWBAT – Apply the SI units– Apply the significant rules– Apply the scientific notation rules

Page 4: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

AGENDA

–Science Starter–SI units–Significant Figures–Scientific Notation

Page 5: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

IMPORTANT DATES

• Makeup Quiz on Wednesday during 4th period or 9th period (Up to 4:15PM)

• Lab – Thursday• Quiz 03 – Friday• Test 01 – Next Friday

Page 6: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

Solubility Curve

Page 7: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

Solubility

Page 8: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

PURE SUBSTANCE

Page 9: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

Particle Diagram

Page 10: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

PARTICLE DIAGRAMS - ELEMENTS

Page 11: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

PARTICLE DIAGRAMS - COMPOUND

Page 12: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

PARTICLE DIAGRAMS - HOMOGENEOUS

Page 13: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

PARTICLE DIAGRAMS - HETEROGENEOUS

Page 14: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

Separation Techniques

Page 15: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

SEPARATION TECHNIQUES

• Chromatography• Filtration• Evaporation• Distillation• Magnetism

Page 16: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

CHROMATOGRAPHY

• Definition: Method in which components of a mixture is separated based on how quickly different molecules dissolved in a mobile phase solvent move along a solid phase

• One type is called Paper Chromatography– Usually used to identify chemicals (coloring

agents) – Example: Identifying the chemicals in a marker

Page 17: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

CHROMATOGRAPHY

Page 18: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

FILTRATION

• Method for separating an insoluble solid from a liquid– Popularly used in water treatment– Example: Separating river water

Page 19: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

FILTRATION

Page 20: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EVAPORATION

• Method used to separating a homogeneous (solution) mixture of a soluble solid and a solvent

• Involves heating the solution until the solvent evaporates – Examples: Sugar water solution– Heat the solution until the water (solvent) dissolve

leaving behind the sugar

Page 21: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EVAPORATION

Page 22: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

DISTILLATION

• Method used to separate a liquid from a solution

• Similar to evaporation but the vapor is collected by condensation

• Example: Sugar Water solution

Page 23: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

DISTILLATION

Page 24: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

MAGNETISM

• Method used to separate two solids with one having magnetic properties– Example: Separating iron filings and dirt mixture

Page 25: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

MAGNETISM

Page 26: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

SEPARATING FUNNEL

• Method for separating two immiscible liquids (liquids that do not dissolve well)– Example: Oil and water

Page 27: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

SEPARATING FUNNEL

Page 28: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

Miscible vs. Immiscible

• Miscible: Forming a homogeneous solution when added together

• Immiscible: do not form a homogeneous solution when added together. Do not dissolve well

Page 29: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

SI UNITS

INTERNATIONAL SYSTEM OF UNITS

Page 30: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

SI UNITS

• standard system of measurements used in chemistry

• enable scientists to communicate with one another

• there are 7 base units–all other units are derived from these 7

base units

Page 31: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

7 SI base units• ampere (A) – measures electric current• kilogram (kg) – measure mass• meter (m) – measure length• second (s) – measure time• kelvin (K) – measure thermodynamic

temperature• mole (mol) – measure amount of substance• candela (cd) – measure luminous intensity

Page 32: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

CONVERSION BETWEEN UNITS

• Step 1: Draw the picket fence• Step 2: Identify the given• Step 3: Identify what you are looking for• Step 4: Identify the equivalent relationship• Step 5: Get rid of the units• Step 6: Do the math• Step 7: Check for the final unit(s)

Page 33: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE

• 10 m = __________________cm• Step 1: Draw the picket fence

Page 34: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – CONT’

• Step 2: Identify the given– 10 m

• Step 3: Identify what you are looking for– cm

• Step 4: Identify the equivalent relationship– 1cm = 0.01 m

Page 35: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – CONT’

• Step 5: Set up the problem

Page 36: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – CONT’

• Step 6: Get rid of the units

Page 37: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – CONT’

• Step 7: Do the math

• Step 8: Check for the final unit(s)

Page 38: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

SIGNIFICANT FIGURES

Page 39: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

DEFINITION

• a prescribed decimal place that determines the amount of rounding off to be done based on the precision of the measurement• consist of all digits known with

certainty and one uncertain digit.

Page 40: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

RULES FOR DETERMINING SIGNIFICANT FIGURES

• nonzero digits are always significant–example: 46.3 m has 3 significant

figures–example: 6.295 g has 4 significant

figures

Page 41: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

RULE – CONT’

• Zeros between nonzero digits are significant–example: 40.7 m has 3 significant

figures–example: 87,009 m has 5

significant figures

Page 42: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

RULE – CONT’

• Zeroes in front of nonzero digit are not significant–example: 0.009587 m has 4

significant figures–example: 0.0009 g has 1 significant

figure

Page 43: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

RULE – CONT’

• Zeroes both at the end of a number and to the right of a decimal point are significant–example: 85.00 g has 4 significant

figures–example: 9.0700 has 5 significant

figures

Page 44: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE

• 1. Give the number of significant figures in each of the following.

• a) 10.0005 g ______

• Do the next 3 problems

Page 45: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLES - answers

• b) 0.003423 mm __4____ • c) 67.89 ft ___4___ • d) 78.340 L __5____

Page 46: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

MULTIPLICATION/DIVISION RULES

• The number of significant figure for the answer can not have more significant figures than the measurement with the smallest significant figures

Page 47: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLES

12.257 x 1.162 = 14.2426234–12.257 = 5 significant figures–1.162 = 4 significant figures–Answer = 14.24 (4 significant figures)

Page 48: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE - Answer

–12.257 = 5 significant figures–1.162 = 4 significant figures

Page 49: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – Answer cont’

• Answer = 14.24 (4 significant figures)

Page 50: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

ADDITION/SUBSTRATION RULES

• The number of significant figure for the answer can not have more significant number to the right of the decimal point

Page 51: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLES3.95 + 2.879 + 213.6 = 220.429

Page 52: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE - Answer

–3.95 = has 2 significant figures after the decimal points–2.879 has 3 significant figures

after the decimal points–213.6 has 1 significant figures

after the decimal points

Page 53: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – ANSWER CONT’

–Answer = 220.4 (1 significant figure)

Page 54: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

ROUNDING RULES

–Below 5 – round down–5 or above – round up

Page 55: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXACT VALUES

• has no uncertainty–example: Count value – number of items

counted. There is no uncertainty–example: conversion value – relationship

is defined. There is no uncertainty• do not consider exact values when

determining significant values in a calculated result

Page 56: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

CALCULATOR BEWARE

• CALCULATOR does not account for significant figures!!!!

Page 57: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

SCIENTIFIC NOTATIONS

Page 58: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

SCIENTIFIC NOTATION

• Use to write very large number and very small number (more manageable)

Page 59: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

PARTS

• Before the decimal point = 1 number• After the decimal points = can be

more than 1 numbers (can be optional)• Exponential number = the number of

places the decimal is moved

Page 60: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLES

• Change to Scientific Notation– 1,234,400

= 1.234400 x 106

Or

= 1.234400 E6

Do the next 2 problems

Page 61: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLES

• 2. 0.1234400 = 1.234400 x 10-1 = 1.234400 E-1

• 3. 0.0000123 = 1.23 x 10-5 = 1.234400 E-5

Page 62: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

STANDARD NOTATION

• 2.4 x 105

• = 240,000

• Do the next 3 problems

Page 63: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLES - Answer

• 7.8 x 107 = 78,000,000• 9.789 E3 = 9,789• 1.2 x 10-2 = 0.012

Page 64: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

CALCULATION RULES - EXPONENTS

• Exponents are count values

Page 65: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

CALCULATIONS RULES – ADD/SUBTRACT

• For addition and subtraction, all values must have the same exponents before calculations

Page 66: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

CALCULATIONS RULES - MULTIPLICATION

• For multiplication, the first factors of the numbers are multiplied and the exponents of 10 are added

Page 67: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

CALCULATION RULES - DIVISION

• For division, the first factors of the numbers are divided and the exponent of 10 in the denominator is subtracted from the exponent of 10 in the numerator

Page 68: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE - ADDITION• Problem: 6.2 x 104 + 7.2 x 103

Page 69: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – ADD cont’

• Step 1: make sure all values have the same number of exponents• 62 x 103 + 7.2 x 103

Page 70: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – ADD cont’

• Step 2: Add the factor• 69.2 x 103

Page 71: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

• Step 3: put into correct scientific notation• 6.92 x 104

Page 72: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

• Step 4: check for significant figures• 6.9 x 104 (Significant rule: can only

have as many as the least significant figure to the right of the decimal)

Page 73: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE - Multiplication

• Problem: (3.1 x 103 )(5.01 x 104)

Page 74: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – Multiplication (cont’)

• Step 1: multiple the factors and add the exponents• (3.1 x 5.01) x 104+3

• 16 x 107

Page 75: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – Multiplication (cont’)

• Step 2: Put into correct scientific notation format• 1.6 x 108

Page 76: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – Multiplication (cont’)

• Step 3: Check for significant figures• 1.6 x 108 (Significant rule: can only

have as many as the least significant figure)

Page 77: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – Division

• Problem: (7.63 x 103) / (8.6203 x 104)

Page 78: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – Division (cont’)

• Step 1: Divide the factors and subtract the exponents• (7.63 / 8.6203) x 103-4

• 0.885 x 10-1

Page 79: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – Division (cont’)

• Step 2: Put into correct scientific notation format• 8.85 x 10-2

Page 80: CHEMISTRY SEPTEMBER 30, 2014 SI/SIGNIFICANT FIGURES/SCIENTIFIC NOTATIONS

EXAMPLE – Division (cont’)

• Step 3: Check for significant figures• 8.85 x 10-2 (Significant rule: can only

have as many as the least significant figure)