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Chem 106, Prof. J.T. Spencer 1 1 CHE 106: General Chemistry CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved
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Page 1: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 11

CHE 106: General Chemistry

CHAPTER ONE

Copyright © James T. Spencer 1995 - 1999

All Rights Reserved

Page 2: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 22

What is ChemistryWhat is Chemistry– Study of the “Physical” Properties Matter (Form and Function)

– Study of How Matter Changes (Reactivity)

Benefits of ChemistryBenefits of Chemistry– Pharmaceuticals

– Enhanced food production (fertilizers, herbicides, etc...)

– Plastics and Polymers

Why Study ChemistryWhy Study Chemistry– Core requirement (?)

– Central Science

EmploymentEmployment– Many fields

MatterMatter

Chapt. 1.1

BIO

Physics Medicine

GEO Engr

CHEM

Law

also: environmental economics electronics agriculture politics etc...

S.U. B.S.

Page 3: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 33

Chemistry; Common ChemicalsChemistry; Common Chemicals

acetic acid .........................................acetic acid .........................................vinegarvinegarcalcium hypochloride ......................calcium hypochloride ......................bleaching powderbleaching powdercalcium sulfate .................................calcium sulfate ................................. plaster of parisplaster of pariscarbon tetrachloride .......................carbon tetrachloride ....................... cleaning fluidcleaning fluidferric oxide .......................................ferric oxide ....................................... iron rustiron rustgraphite ............................................graphite ............................................ pencil leadpencil leadmagnesium sulfate ..........................magnesium sulfate ..........................Epsom saltsEpsom saltsnaphthalene......................................naphthalene...................................... mothballsmothballssilicon dioxide...................................silicon dioxide................................... sandsandsodium bicarbonate .........................sodium bicarbonate .........................baking sodabaking sodasodium borate...................................sodium borate................................... boraxboraxsodium hydroxide ............................sodium hydroxide ............................ lyelyesulfuric acid......................................sulfuric acid...................................... battery acidbattery acidsucrose...............................................sucrose............................................... cane sugarcane sugar

Page 4: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 44

Chemistry; Chemical ProductionChemistry; Chemical Production

Sulfuric Nitrogen Oxygen Ethylene Lime AmmoniaPropylene NaOH PhosphoricChlorine0

20

40

60

80

100

Bil

lion

s of

lbs

HH22SOSO44

NN22

OO22 CC22HH44

CaOCaO NHNH33

CC33HH66 NaOHNaOHHH33POPO44

ClCl22

19951995Chemical and Engineering NewsChemical and Engineering News

Page 5: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 55

Nanoscale Chemistry

Use simpler molecular units are molecular-architectural elements

Page 6: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 66

Nanoscale Chemistry

Page 7: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 77

Nanosystems

Page 8: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 88

Nanomachines

red blood cell

Interstellar Space Travel - Significant concepts in this area include: launch vehicles, the space elevator, interplanetary transportation, the swarm concept, smart dust, extraterrestrial materials utilization, terraforming, suspended animation, space telescopes and virtual sample return.Human Therapeutics - Nanotechnology has caused scientists to re-examine the problems of the human body from the perspective of atomic- engineering. By assuming a nanotechnological

point of view, the resolution of therapeutic ailments becomes simple.Nano-Robots and Nano-Computers with advanced Artificial Intelligence - Nanotechnology will operate under the control of nano-sized computers which will manage the process of Molecular Manufacturing. In order to achieve this, it will be necessary to devise advanced Artificial Intelligence that will be able to automate and regulate Molecular Manufacturing systems.

Page 9: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 99

Matter; A ReviewMatter; A Review

Chapt. 1.2

Definition of MatterDefinition of Matter– anything that occupies space and has mass

StatesStates– gas (vapor); no fixed volume or shape, compressable

– liquid; fixed volume no fixed shape, mostly incompressable

– solid; fixed volume and shape, incompressable

FormsForms– Substances (pure or single); has a fixed composition and distinct

properties. Most things encountered are mixtures of substances.

PropertiesProperties– Physical Properties; can be measured without changing the substance,

i.e., color, density, melting point, etc...

– Chemical Properties; the way a substance changes (reacts), i.e., combustion

Page 10: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 1010

Matter; Elements and CompoundsMatter; Elements and Compounds

Chapt. 1.2

SubstancesSubstances– Elements - substances which cannot be decomposed into simpler

substances (see periodic table)

– Compounds- substances which can be separated into two or more elements

ElementsElements– 110 Known (periodic table to be revisited)

– make up all matter and composed of “subatomic particles”

– symbols used for abbreviations (from older or common names)

CompoundsCompounds– Elements combined in a definite proportion by mass (law of definite

proportion)

– properties different than consititutent elements

Water; example of mixtures, compound and elements?Water; example of mixtures, compound and elements?

Page 11: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 1111

Matter; Elements and Periodic TableMatter; Elements and Periodic Table

See Website: http://the-tech.mit.edu/Chemicool

Periodic TablePeriodic Table

Page 12: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 1212

Matter; A ReviewMatter; A Review

Chapt. 1.2

Mixtures; combinations of substancesMixtures; combinations of substances

– MixtureMixture- combination of two or more substances in which each retains its own chemical identity (and properties). Vary widely by composition (infinite possibilities of combining ratios), can be separated using the different physical properties of the component substances.

– Homogeneous Homogeneous - appears the same throughout (solutions), liquid, gas and solid solutions are possible.

– Heterogeneous Heterogeneous - mixtures which do not have the same (uniform) appearance throughout.

Page 13: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 1313

Salt and Sand Mixture Ink from Cabbage Juicesolubility and filtrationsolubility and filtration chromatography chromatography

Water from Salt Water Iron and Gold Mixturedistillationdistillation magnetic propertiesmagnetic properties

melting point melting point differencesdifferences

chem. reactivity chem. reactivity (acids)(acids)

Iodine from Copper Chloridesolubility and filtrationsolubility and filtration

Matter; A ReviewMatter; A Review

Chapt. 1.2

Separating Mixtures using Physical PropertiesSeparating Mixtures using Physical Properties– How would you separate;

Page 14: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 1414

Matter; A ReviewMatter; A Review

Chapt. 1.2

Separating Mixtures using Physical PropertiesSeparating Mixtures using Physical Properties– How would you separate;

Filtration Sand from SaltSand from Salt

Filter

Everyday ExamplesEveryday Examples;Auto Oil FilterAuto Air FilterAquarium Water FilterSpaghetti StrainerWindow ScreensRegistrar

Flow

Page 15: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 1515

Matter; A ReviewMatter; A Review

Chapt. 1.2

Separating Mixtures using Physical PropertiesSeparating Mixtures using Physical Properties– How would you separate;

Distillation Water from Salt WaterWater from Salt Water

NaCl(aq)

NaCl(s) + H2O(l)

Page 16: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 1616

Matter; A ReviewMatter; A Review

Chapt. 1.2

Separating Mixtures using Physical PropertiesSeparating Mixtures using Physical Properties– How would you separate;

Chromatograpgy Dyes from M&M’sDyes from M&M’s

Before After

Dyes

Page 17: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 1717

Matter; A ReviewMatter; A Review

Chapt. 1.3

ChangesChanges

– Physical - Changes in appearance but not identity, i.e., evaporation, melting (all changes of state)

– Chemical - transformation into a different substance

Chemical ChangesChemical Changes Physical ChangesPhysical Changes

burning burning meltingmelting CC66HH1212OO66 + 6O + 6O22 6CO 6CO22 + 6H + 6H22OO H H22O(s)O(s) HH22O(l)O(l)

chemical reactionschemical reactions sublimationsublimation NaOH + HCl HNaOH + HCl H22O + NaCl O + NaCl H H22O(s)O(s) HH22O(g)O(g)

corrosioncorrosion dissolutiondissolution 4Fe + 3O4Fe + 3O22 2 Fe 2 Fe22OO3 3 H H22O(l ) + NaCl(s)O(l ) + NaCl(s) NaCl(aq)NaCl(aq)

Page 18: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 1818

MatterMatter

MatterMatter

Uniform ?Uniform ?HeterogeneousHeterogeneousMixtureMixture

HomogeneousHomogeneous

Can be separatedCan be separatedby physical methodsby physical methodsPure SubstancePure Substance

HomogeneousHomogeneousMixture (solution)Mixture (solution)

Decomposed ?Decomposed ?

CompoundCompoundElementElement

YesYesNoNo

NoNo

NoNo

YesYes

YesYes

Page 19: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 1919

ObservationsObservationsand Experimentsand Experiments

Patterns and Patterns and TrendsTrends

Form and testForm and testhypothesishypothesis

TheoryTheory

Scientific MethodScientific Method

Page 20: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 2020

Observations to TheoryObservations to Theory

ObservationsObservations Theory Theory

Page 21: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 2121

Observations to TheoryObservations to Theory

ObservationsObservations Theory Theory

Page 22: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 2222

Observations to TheoryObservations to Theory

ObservationsObservations Theory Theory

Page 23: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 2323

Matter; MeasurementMatter; Measurement

AA BB

Which is True?Which is True?A = BA = BA > BA > BA < BA < B

Page 24: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 2424

Matter; MeasurementMatter; Measurement

AA BB

Which is True?Which is True?A = BA = BA > BA > BA < BA < B

Page 25: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 2525

Matter; MeasurementMatter; Measurement

AA BB

Which is True?Which is True?A = BA = BA > BA > BA < BA < B

Page 26: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 2626

Matter; MeasurementMatter; Measurement

Chapt. 1.4

SystemsSystems

– Metric - base 10

– SI- international scientific system

– mass Kilogram

– length Meter

– time Second

– electric current Ampere

– temperature Kelvin

– light Candela

– Amount Mole Factor label method for conversionsFactor label method for conversions

Page 27: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 2727

Matter; MeasurementMatter; Measurement

Chapt. 1.4

PrefixesPrefixes

Mega M 106

Kilo k 103

Deci d 10-1

Centi c 10-2

Milli m 10-3

Micro 10-6

Nano n 10-9

Page 28: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 2828

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: What fraction of a second is a picosecond, ps?

Page 29: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 2929

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: What fraction of a second is a picosecond, ps?

10-12 second

Page 30: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 3030

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Common Units:Length and Mass

Length - unit of distance measured in meters

Mass - measures the amount of matter in an object in grams

TemperatureKelvinCelsius °C = 5/9 (°F -32)

K = °C + 273.15

Page 31: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 3131

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: Ethylene glycol, the major ingredient in antifreeze, freezes at -11.5°C. What is the freezing point in

a) K

b) °F

Page 32: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 3232

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: Ethylene glycol, the major ingredient in antifreeze, freezes at -11.5°C. What is the freezing point in

a) K

b) °FK = °C + 273.15

= -11.5 + 273.15

Page 33: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 3333

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: Ethylene glycol, the major ingredient in antifreeze, freezes at -11.5°C. What is the freezing point in

a) K

b) °FK = °C + 273.15

= -11.5 + 273.15

= 261.65 K

Page 34: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 3434

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: Ethylene glycol, the major ingredient in antifreeze, freezes at -11.5°C. What is the freezing point in

a) K

b) °FK = °C + 273.15

= -11.5 + 273.15

= 261.65 K

= 261.7 K

Page 35: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 3535

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: Ethylene glycol, the major ingredient in antifreeze, freezes at -11.5°C. What is the freezing point in

a) K

b) °F °C = 5/9 (°F -32)

Page 36: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 3636

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: Ethylene glycol, the major ingredient in antifreeze, freezes at -11.5°C. What is the freezing point in

a) K

b) °F °C = 5/9 (°F - 32)

-11.5 = 5/9(x - 32)

Page 37: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 3737

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: Ethylene glycol, the major ingredient in antifreeze, freezes at -11.5°C. What is the freezing point in

a) K

b) °F °C = 5/9 (°F - 32)

-11.5 = 5/9(x - 32)

9(-11.5) + 32 = x

5

Page 38: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 3838

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: Ethylene glycol, the major ingredient in antifreeze, freezes at -11.5°C. What is the freezing point in

a) K

b) °F °C = 5/9 (°F - 32)

-11.5 = 5/9(x - 32)

9(-11.5) + 32 = x

5

11.3°F = x

Page 39: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 3939

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Derived Units:Volume

Length x length x lengthmeasured in cm3, which is equal to mL

Page 40: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 4040

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Derived Units:Density

amount of mass per unit volumemeasured in g/cm3, or g/mL

Page 41: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 4141

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: A student needs 15.0 g of ethanol (ethyl alcohol) for an experiment. If the density of the alcohol is 0.789 g/mL, how many milliliters of alcohol are needed?

Page 42: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 4242

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: A student needs 15.0 g of ethanol (ethyl alcohol) for an experiment. If the density of the alcohol is 0.789 g/mL, how many milliliters of alcohol are needed?

D = m/V so V = m/D

Page 43: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 4343

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: A student needs 15.0 g of ethanol (ethyl alcohol) for an experiment. If the density of the alcohol is 0.789 g/mL, how many milliliters of alcohol are needed?

D = m/V so V = m/D

= 15.0 g 0.789 g/mL

Page 44: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 4444

Matter; MeasurementMatter; Measurement

Chapt. 1.4

Sample exercise: A student needs 15.0 g of ethanol (ethyl alcohol) for an experiment. If the density of the alcohol is 0.789 g/mL, how many milliliters of alcohol are needed?

D = m/V so V = m/D

= 15.0 g 0.789 g/mL

= 19.0 mL

Page 45: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 4545

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Precision and AccuracyPrecision and Accuracy– Precision - how closely individual measurements

agree– Accuracy- how closely the measurements agree with

the true value

Significant FiguresSignificant Figures– All measurements are inaccurate intrinsically

– measured quantities are reported such that the last figure is uncertain

Page 46: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 4646

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Good PrecisionPoor Accuracy

Good PrecisionGood Accuracy

Poor PrecisionPoor Accuracy

Page 47: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 4747

Determining Significant FiguresDetermining Significant Figures

–all non zero digits are significantall non zero digits are significant

– zeros between nonzero digits are significantzeros between nonzero digits are significant

– zeros to the left of first nonzero digit are not zeros to the left of first nonzero digit are not significantsignificant

– zeros at the end of a number and to the right zeros at the end of a number and to the right of a decimal point are significantof a decimal point are significant

–when a number ends in a zero but with no when a number ends in a zero but with no decimal point, the zero may or may not be decimal point, the zero may or may not be signigicant (use scientific notation)signigicant (use scientific notation)

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Page 48: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 4848

Determining Significant FiguresDetermining Significant Figures

3.573 has 4 significant figures3.573 has 4 significant figures

0.073 has 2 significant figures0.073 has 2 significant figures

3.070 has 4 significant figures3.070 has 4 significant figures

0.003 has 1 significant figures0.003 has 1 significant figures

- - multiplication and divisionmultiplication and division; result can have no ; result can have no more than the figure with the fewest significant more than the figure with the fewest significant figuresfigures

- - addition and subtractionaddition and subtraction; result can have the ; result can have the same number of decimal places as the term with same number of decimal places as the term with the least number of decimal placesthe least number of decimal places

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Page 49: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 4949

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Sample exercise: A balance has a precision of 0.001 g. A sample that weighs about 25 g is weighed on this balance. How many significant figures should be reported for this measurement?

Page 50: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 5050

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Sample exercise: A balance has a precision of 0.001 g. A sample that weighs about 25 g is weighed on this balance. How many significant figures should be reported for this measurement?

25.XXX

Page 51: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 5151

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Sample exercise: A balance has a precision of 0.001 g. A sample that weighs about 25 g is weighed on this balance. How many significant figures should be reported for this measurement?

25.XXX

5 sig figs

Page 52: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 5252

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Sample exercise: How many significant figures are in each of the following measurements?

A) 3.549 g

B) 2.3 x 104 cm

C) 0.00134 m3

Page 53: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 5353

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Sample exercise: How many significant figures are in each of the following measurements?

A) 3.549 g 4 sig figs

B) 2.3 x 104 cm

C) 0.00134 m3

Page 54: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 5454

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Sample exercise: How many significant figures are in each of the following measurements?

A) 3.549 g 4 sig figs

B) 2.3 x 104 cm 2 sig figs

C) 0.00134 m3

Page 55: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 5555

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Sample exercise: How many significant figures are in each of the following measurements?

A) 3.549 g 4 sig figs

B) 2.3 x 104 cm 2 sig figs

C) 0.00134 m3 3 sig figs

Page 56: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 5656

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Sample exercise: There are exactly 1609.344 m in a mile. How many meters are in a distance of 1.35 mi?

Page 57: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 5757

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Sample exercise: There are exactly 1609.344 m in a mile. How many meters are in a distance of 1.35 mi?

1.35 mi = 1 mi

x 1609.344 m

Page 58: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 5858

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Sample exercise: There are exactly 1609.344 m in a mile. How many meters are in a distance of 1.35 mi?

1.35 mi = 1 mi

x 1609.344 m

x = 2172.6144 m

Page 59: Chem 106, Prof. J.T. Spencer 1 CHE 106: General Chemistry u CHAPTER ONE Copyright © James T. Spencer 1995 - 1999 All Rights Reserved.

Chem 106, Prof. J.T. Spencer 5959

Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Sample exercise: There are exactly 1609.344 m in a mile. How many meters are in a distance of 1.35 mi?

1.35 mi = 1 mi

x 1609.344 m

1.35 has 3 sig figs x = 2172.6144 m 1609.344 has 7 sig figs 1 is infinitely significant

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Matter; Uncertainty in MeasurementMatter; Uncertainty in Measurement

Chapt. 1.5

Sample exercise: There are exactly 1609.344 m in a mile. How many meters are in a distance of 1.35 mi?

1.35 mi = 1 mi

x 1609.344 m

1.35 has 3 sig figs x = 2172.6144 m 1609.344 has 7 sig figs x = 2170 m 1 is infinitely significant

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Use Units throughout the calculation (helps “guide” calculation.

Should always yield the proper units Uses conversion factors Example; How fast is 50 mph in in/sec.?

Dimensional AnalysisDimensional Analysis

50 mi.50 mi. 1 hour1 hour 5280 ft5280 ft 12 in.12 in. = = inin1 hour1 hour 3600 sec.3600 sec. 1 mi.1 mi. 1 ft1 ft sec.sec.

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Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: By using a conversion factor from the back inside cover, determine the length in kilometers of a 500.0 mi automobile race.

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Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: By using a conversion factor from the back inside cover, determine the length in kilometers of a 500.0 mi automobile race.

500.0 mi

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Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: By using a conversion factor from the back inside cover, determine the length in kilometers of a 500.0 mi automobile race.

500.0 mi 1 km

0.62137 mi

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Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: By using a conversion factor from the back inside cover, determine the length in kilometers of a 500.0 mi automobile race.

500.0 mi 1 km = 804.674 km

0.62137 mi

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Chem 106, Prof. J.T. Spencer 6666

Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: By using a conversion factor from the back inside cover, determine the length in kilometers of a 500.0 mi automobile race.

500.0 mi 1 km = 804.674 km

0.62137 mi

* answer can only have 4 sig figs; 804.7 km

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Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: The distance between carbon atoms in a diamond is 154 pm. Convert this distance to millimeters.

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Chem 106, Prof. J.T. Spencer 6868

Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: The distance between carbon atoms in a diamond is 154 pm. Convert this distance to millimeters.

154 pm

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Chem 106, Prof. J.T. Spencer 6969

Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: The distance between carbon atoms in a diamond is 154 pm. Convert this distance to millimeters.

154 pm 1 m 103 mm

1012 pm 1 m

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Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: The distance between carbon atoms in a diamond is 154 pm. Convert this distance to millimeters.

154 pm 1 m 103 mm = 1.54 x 10-7 mm

1012 pm 1 m

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Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: A car travels 28 mi to the gallon of gasoline. How many kilometers per liter will it go?

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Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: A car travels 28 mi to the gallon of gasoline. How many kilometers per liter will it go?

28 mi

gal

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Chem 106, Prof. J.T. Spencer 7373

Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: A car travels 28 mi to the gallon of gasoline. How many kilometers per liter will it go?

28 mi 1 km

gal 0.62137 mi

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Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: A car travels 28 mi to the gallon of gasoline. How many kilometers per liter will it go?

28 mi 1 km 1 gal

gal 0.62137 mi 3.7854 L

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Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: A car travels 28 mi to the gallon of gasoline. How many kilometers per liter will it go?

28 mi 1 km 1 gal = 11.9041 km

gal 0.62137 mi 3.7854 L L

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Dimensional AnalysisDimensional Analysis

Chapt. 1.6

Sample exercise: A car travels 28 mi to the gallon of gasoline. How many kilometers per liter will it go?

28 mi 1 km 1 gal = 11.9041 km

gal 0.62137 mi 3.7854 L L

* 2 sig figs = 12 km L

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Matter: Chemical and Physical ChangesMatter: Chemical and Physical Changes Elements and CompoundsElements and Compounds Units of MeasurementUnits of Measurement Uncertainty and Significant FiguresUncertainty and Significant Figures Precision and AccuracyPrecision and Accuracy ““Factor Label” Method (Dimensional Factor Label” Method (Dimensional

Analysis)Analysis)

Chapter One; ReviewChapter One; Review


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