Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th,...

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Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September 26 Test 2: Chapters 3, 4: October 24 Test 3: Chapters 4, 5: November 14 Make-up, Comprehensive,

Transcript of Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th,...

Page 1: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Chemistry 100(02) Fall 2001Chemistry 100(02) Fall 2001

Dr. Upali Siriwardane

CTH 311 Phone 257-4941

Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m.

Test 1 : Chapters 1, 2: September 26Test 2: Chapters 3, 4: October 24Test 3: Chapters 4, 5: November 14Make-up, Comprehensive, November 15

Page 2: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Chemistry 100(04) Fall 2001Chemistry 100(04) Fall 2001Dr. Upali Siriwardane

CTH 311 Phone 257-4941

Office Hours: 8:00-9:00, 11:00-12:00 M, W

Tu, Th, F 10:00-12:00 a.m.

Test 1 : Chapters 1, 2: October 2 Test 2: Chapters 3, 4: October 25Test 3: Chapters 4, 5: November 13Make-up, Comprehensive, November 15

Page 3: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Chemistry 100(05) Fall 2001Chemistry 100(05) Fall 2001

Dr. Upali Siriwardane

CTH 311 Phone 257-4941

Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m.

Test 1 : Chapters 1, 2: October 2. Test 2: Chapters 3, 4: October 25Test 3: Chapters 4, 5: November 13Make-up, Comprehensive, November 15

Page 4: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

KEY CONCEPTSKEY CONCEPTSWhat is chemistry?

Physical & chemical changes.

Physical & chemical properties.

Categories of matter. Separating Mixtures.Scientific Method. Scientific Measurement Observation Uncertainty.

Significant figure. Precision. Accuracy. Significant figures in calculations. Unit Conversions. Temperature Conversions. Unit conversion method.

Density Calculations.

Page 5: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

What is chemistry?What is chemistry?• Chemistry deals with non-reversible

changes of matter.

• Chemistry explains using atoms and molecules.

• Chemical Concepts and Models improve your problem solving skills

• Chemistry is a Central Science

Page 6: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.
Page 7: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

ChemistryChemistry• “The study of matter and the changes it undergoes.”

• Major divisionsMajor divisions

• InorganicInorganic Compounds of elements other than carbon

• OrganicOrganic Compounds of carbon

• BiochemistryBiochemistry Compounds of living matter

• PhysicalPhysical Theory and concepts

• AnalyticalAnalytical Methods of analysis

Page 8: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

What is MatterWhat is Matter• Matter:

• Anything that has a mass and volume.

• Energy:

• Manifestations of matter.

• Matter and Energy is intertwined.

Page 9: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Classification of matterClassification of matter

Matter

Pure Substance Mixture

Element Compound Homogeneous

Heterogeneous

Iron Hemoglobin Plasma Blood

Page 10: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Mixtures Mixtures

HeterogeneousHeterogeneous HomogenousHomogenous

CompoundsCompounds

AtomsAtoms

ElectronsElectrons

NucleusNucleus

ProtonsProtonsNeutronsNeutrons

Pure SubstancesPure Substances

ElementsElements

Hierarchy of Matter

Page 11: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

MixturesMixtures• A combination of two or more pure

substances.

– HomogeneousHomogeneous - Uniform composition

– HeterogeneousHeterogeneous - Non-uniform composition

• Which are homogeneous or heterogeneous?

– Blood Urine “T-Bone” steak

– Gasoline Twinkie Salad Dressing

Page 12: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

How do you Separate How do you Separate Mixtures?Mixtures?

• Flotation: based on density

• Filtration: Solid- liquid

• Distillation- Liquid-liquid

• Magnetic Separation- Magnetic-

• Chromatography:

• 1) Paper 2) Column 3) Gas

Page 13: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Pure substancesPure substances

• ElementElement– Cannot be converted to a simpler form by a chemical

reaction.

– ExampleExample hydrogen and oxygen

• CompoundCompound– Combination of two or more elements in a definite,

reproducible way.

– ExampleExample water - H2O

• Both elements and compounds have characteristic properties such as color, boiling point and reactivity

Page 14: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Pure substancesPure substances

• The properties of a compound and the elements it is made of can differ greatly.

• Formula BP density Other

• Hydrogen H2 -253 0.90 Flammable

• Oxygen O2 -297 1.14 Supports combustion

• Water H2O 100 1000 Not flammable

Page 15: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Properties of SubstancesProperties of Substances• Physical propertiesPhysical properties:

• Physical properties are descriptions of matter such as color, density, viscosity, boiling point, and melting point.

• Chemical propertiesChemical properties:

• Chemical properties relates to the changes of substances making up the matter. For example, corrosiveness, Flammability

Page 16: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Extensive and intensive propertiesExtensive and intensive properties

• Extensive propertiesExtensive properties

• Depend on the quantity of sample measured.

• ExampleExample - mass and volume of a sample.

• Intensive propertiesIntensive properties

• Independent of the sample size.

• Properties that are often characteristic of the substance being measured.

• ExamplesExamples - density, melting and boiling points.

Page 17: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Physical propertiesPhysical properties

• Properties that do not involve substances changing into another substance.

• ExamplesExamples

– color density

– odor melting point

– taste boiling point

– feel compressibility

Page 18: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Chemical propertiesChemical properties• Properties that involve substances changing into

another substance.

• Chemical ReactionChemical Reaction - one or more substances are changed into other substances.

• Example A chemical property of wood is it’s ability to burn - combustioncombustion.

wood + oxygen carbon dioxide + water + heat

ReactantsReactants ProductsProducts The reactants and products are very different.

Page 19: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

ExampleExample • Which are chemical or physical changes?

• Mulching leavesMulching leaves

• Milk turning sourMilk turning sour

• Making wineMaking wine

• Making ice waterMaking ice water

• Beer going flatBeer going flat

• Leaves changing colorLeaves changing color

Page 20: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Type of ChangesType of Changes• Physical changePhysical change:

• A change in the state of matter. It does not involve a change in the substances. E.g. melting of wax and water.

• Chemical changeChemical change: • A change involving at least one of the

substances making the matter. E.g. Electrolysis of water, formation of rust: reaction of iron and oxygen to from iron oxide.

Page 21: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Chemical verses Physical changeChemical verses Physical change

Sodium reacting Iodine changing with chlorine. from a solid to a gas

Page 22: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Scientific methodScientific method• All scientific studies follow the same

approach to examining a problem.

• The scientific method requires that we: •

• Make observations

• Apply logical, organized reasoning to observations made.

• Form a hypothesis.

• Reject or confirm that hypothesis through experiments.

Page 23: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Scientific MethodScientific Method. • A method common to all sciences has

• Four Basic Steps:

• a) Experiment

• b) Data or Results

• c) Hypothesis

• d) Further experiments to test hypothesis

Page 24: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Develop a theory

Do experiments

Do more experiments

Organize

Make hypothesis

Try newtests Did hypothesis work?

Yes

Scientific methodScientific methodMake observations

No

Page 25: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.
Page 26: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

MeasurementMeasurement• Measurements or observations are made

• using our physical senses or using scientific instruments.

• 1) Qualitative measurements.

• Changes that cannot be expressed in terms of a number.

• 2) Quantitative measurements.

• expressed in terms of a number and an unit.

Page 27: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.
Page 28: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.
Page 29: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Units are importantUnits are important

• 45 000 has little meaning, just a number

• $45,000 has some meaning - money

• $45,000/yr more meaning - person’s salary

Page 30: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

SI units• SI - System InternationalSystem International

– Systematic subset of the metric system.

• Only uses certain metric units.• Mass kilograms

• Length meters

• Time seconds

• Temperature kelvin

• Amount mole

• Other SI units are derived from SI base units.

Page 31: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Metric prefixesMetric prefixes• Changing the prefix alters the size of a unit.

PrefixPrefix Symbol Symbol Factor Factor

mega M 106 1 000 000

kilo k 103 1 000

hecto h 102 100

deka da 101 10

base - 100 1

deci d 10-1 0.1

centi c 10-2 0.01

milli m 10-3 0.001

Page 32: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.
Page 33: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Other UnitsOther Units• Derived UnitsDerived Units. Units consisting of more

than one one base unit. E.g. g/cm3

• English units.English units. – Still commonly used in the United States.

Weight ounce, pound, ton Length inch, foot, yard, mile Volume cup, pint, quart, gallon

• Not often used in scientific work.Not often used in scientific work. – Very confusing and difficult to keep track

of the conversions needed.

Page 34: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Converting unitsConverting units

• Factor label methodFactor label method

• Regardless of conversion, keeping track of units makes thing come out right

• Must use conversion factors• - The relationship between two units

• Canceling out units is a way of checking that your calculation is set up right!

• Other names used Unit Conversion Methoddimensional(Unit) Analysis

Page 35: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Example. Metric conversionExample. Metric conversion

How many milligrams are in a kilogram?

1 kg = 1000 g1 g = 1000 mg

1 kg x 1000 x 1000

= 1 000 000 mg

kg

g mg

g

Page 36: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

ExampleExampleCreatinine is a substance found in blood. If

an analysis of blood serum sample detected 0.58 mg of creatinine, how many micrograms were present?

= 10-6 = micro = 10-6 = micro

0.580 mg = 580 g10-3 g1 mg( ) 1 g

10-6 g( )

Page 37: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Common conversion factorsCommon conversion factors

• English FactorFactor– 1 gallon = 4 quarts 4 qt/gal– 1 mile = 5280 feet 5280 ft/mile– 1 ton = 2000 pounds 2000 lb/ton

• Common English to Metric conversions FactorFactor– 1 liter = 1.057 quarts 1.057 qt/L– 1 kilogram = 2.2 pounds 2.2 lb/kg– 1 meter = 1.094 yards 1.094 yd/m– 1 inch = 2.54 cm 2.54 cm/inch

Page 38: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

3.00 x 108 m 6.21 x 10-4 mile 31536000 s

1 s 1 m 1 yr

= 5.87 x 1012

mile/yr

.Speed of light is 3.00 x 108 m s-1 . Convert the speed of light to miles per year (1 mile = 1.61 km).

Page 39: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

MeasurementMeasurement• Number PartNumber Part

Uncertainty in MeasurementUncertainty in Measurement

Significant FiguresSignificant Figures

• Exact MeasurementsExact Measurements

• Extensive and Intensive PropertiesExtensive and Intensive Properties

• DensityDensity

• Measuring Temperature and VolumeMeasuring Temperature and Volume

Page 40: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.
Page 41: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Uncertainty in MeasurementUncertainty in Measurement

• All measurements contain some uncertainty.

• We make errors

• Tools have limits

• Uncertainty is measured with

– AccuracyAccuracy How close to the true value

– PrecisionPrecision How close to each other

Page 42: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

AccuracyAccuracy

Here the average valuewould give agood number but the numbersdon’t agree.

Large random error

How close our values agree with the true value.

Page 43: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

PrecisionPrecision

Here the numbersare close togetherso we have goodprecision.

• Poor accuracy.

• Large systematic

error.

How well our values agree with each other.

Page 44: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Accuracy and precisionAccuracy and precision

• Predict the effect on accuracy and precisionPredict the effect on accuracy and precision..

• Instrument not ‘zeroed’ properly

• Reagents made at wrong concentration

• Temperature in room varies ‘wildly’

• Person running test is not properly trained

Page 45: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Types of errors

• Instrument not ‘zeroed’ properly– Reagents made at wrong concentration

– Temperature in room varies ‘wildly’– Person running test is not properly trained

Random

Systematic

Page 46: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Significant figuresSignificant figures• Method used to express accuracy and

precision.

• You can’t report numbers better than the method used to measure them.

• 67.2 units = three significant figures

Certain Digits

UncertainDigit

Page 47: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

• Leading zeros

• Trailing zeros in whole numbers (use scientific notion to avoid confusion.

• Exact numbers: unit definition has an unlimited number of sig. figs. 1 ft = 12 in

Not significantNot significant

SignificantSignificant

•Non-zero digits are always significant. •Any zeros between two significant digits •Trailing zeros in the decimal portion

Page 48: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

ExamplesExamples

• 0.00341........3 sig. digs.

• 1.0040.........5 sig. digs.

• 0.00005........1 sig. digs.

• 65000.......… 2 sig. digs. 6.5 x 104

• 40300..........3 sig. digs.

• 200300.........4 sig. digs. 2.003 x 105

Page 49: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Significant figures: Significant figures: Rules for zerosRules for zeros

• Leading zeros are notare not significant.0.421 - three significant figures

Leading zeroLeading zero

Captive zeros areare significant.4012 - four significant figures

Trailing zeros areare significant.114.20 - five significant figures

Captive zeroCaptive zero

Trailing zeroTrailing zero

Page 50: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Significant figuresSignificant figures

• Zeros are what will give you a headache!Zeros are what will give you a headache!

• They are used/misused all of the time.

• ExampleExample

• The press might report that the federal deficit is three trillion dollars. What did they mean?

$3 x 1012

or$3,000,000,000,000.00

Page 51: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Significant figuresSignificant figures• In science, all of our numbers are either

measured or exact.

• ExactExact - Infinite number of significant figures.

• MeasuredMeasured - the tool used will tell you the level of significance. Varies based on the tool.

• ExampleExample

• Ruler with lines at 1/16” intervals.

• A balance might be able to measure to the nearest 0.1 grams.

Page 52: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

• Most calculators use scientific notation when the numbers get very large or small.

• How scientific notation is displayed can vary.

• It may use x10n

• or may be displayed• using an E.

• They usually have an Exp or EE– This is to enter in the exponent.

Scientific notationScientific notation

+

-1

/

x

0

2 3

4 5 6

7 8 9

.

CE

EE

log

ln

1/x

x2

cos tan

1.44939 E-2

Page 53: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

ExamplesExamples• 378 000

• 3.78 x 10 5

• 8931.5

• 8.9315 x 10 3

• 0.000 593

• 5.93 x 10 - 4

• 0.000 000 4

• 4 x 10 - 7

Page 54: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Significant figuresand calculations

• An answer can’t have more significant figures than the quantities used to produce it.

– ExampleExample • How fast did you run if you• went 1.0 km in 3.0 minutes?

speed = 1.0 km / 3.0 min = 0.33 km / min

+

-1

/

x

0

2 3

4 5 6

7 8 9

.

CE

EE

log

ln

1/x

x2

cos tan

0.333333333

Page 55: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Significant figure in CalculationsSignificant figure in Calculations

Different rules apply in each case Different rules apply in each case

• Addition and subtraction

• In multiplication and division

• The root or power of a measurement

• Exact Numbers: Numbers coming from

definitions such as 12 in = 1 foot. They are not

considered in Sig. Fig. Calculations.

Page 56: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Significant figures and calculationsSignificant figures and calculations• Addition and subtractionAddition and subtraction

• Report your answer with the same number of digits to the right of the decimal point as the number having the fewest to start with.

123.45987 g+ 234.11 g 357.57 g

805.4 g- 721.67912 g 83.7 g

Page 57: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Significant figures and calculationsSignificant figures and calculations• Multiplication and division.Multiplication and division.

• Report your answer with the same number of digits as the quantity have the smallest number of significant figures.

• Example. Density of a rectangular solid.Example. Density of a rectangular solid.

• 25.12 kg / [ (18.5 m) ( 0.2351 m) (2.1m) ]

• = 2.8 kg / m3

• (2.1 m - only has two significant figures)

Page 58: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Rounding off numbersRounding off numbers

• After calculations, you may need to round off.

• If the first insignificant digit is 5 or more,

• - you round up

• If the first insignificant digit is 4 or less,

• - you round down.

• If the digit 5 exactly rounded off to a even

Page 59: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

a) 10.26 + 0.02 + 450 = 460.28 = 460 2 significant figures

ones place in 450 has the greatest uncertainty

b) 3.56 x 1.2 = 4.272 = 4.3 2 significant figuresc) 356.001 x 15.43

-------------------- = 45.58585 = 45.59 120.5

4 significant figuresc) (2.8 + 3.4) (2.35 - 4.1) = 6.2 x (-1.75) = 6.2 x (-1.75) = -10.85 = -11 2 significant figures

Page 60: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Temperature Conversions

• oF -- > oC ; C = 5/9 (F - 32)

• oC -- > oF ; F =9/5 C + 32

• oC -- > K ; K = C + 273.15• Human body temperature is 98.6 oF.

Convert this temperature to oC and K scale

• oC = 5/9 (98.6 - 32) = 5/9 (66.6) = 37.0

• oC--> K = 37.0 oC +273.15 = 310.2 K

Page 61: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Example. oF to K

If the temperature is 75.0 oF, what is it in K?

First convert to oC

Then convert to K

oC = (75.0oF - 32) 59

= 23.9

K = 23.9oC + 273

= 297

Page 62: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Measuring volumeMeasuring volume• VolumeVolume - the amount of space that an object

occupies.

• The base metric unit is the liter (L)liter (L).

• The common unit used in the lab is the milliliter (mL)milliliter (mL).

• One milliliter is exactly equal to one cmcm33.

• The derived SISI unit for volume is the mm33 which is too large for convenient use.

Page 63: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

DensityDensity

• Density is an intensive property of a substance based on two extensive properties.

• Common units are g / cm3 or g / mL.

» g / cm3 g / cm3

• Air 0.0013 Bone 1.7 - 2.0• Water 1.0 Urine 1.01 - 1.03• Gold 19.3 Gasoline 0.66 - 0.69

Density = Mass

Volumecm3 = mL cm3 = mL

Page 64: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Example.Density calculation

What is the density of 5.00 mL of a fluid if ithas a mass of 5.23 grams?

d = mass / volume

d = 5.23 g / 5.00 mL

d = 1.05 g / mL

What would be the mass of 1.00 liters of thissample?

Page 65: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Density Calculations• Equation method:

• Density = mass ÷ volume; d = m/v

• Factor Label method:14.2 g -- > ? cm3

• conversion factor?• 2.70 g 1 cm3

• -------- or ------• 1 cm3 2.70 g

• 14.2 g x 1 cm3

• --------------------- = 5.26 cm3

• 2.70 g

Page 66: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Example.Density calculation

• What would be the mass of 1.00 liters of the fluid sample?

• The density was 1.05 g/mL.

» density = mass / volume

– so mass = volume x density

» mass = 1.00 L x 1000 x 1.05

» = 1.05 x 103 g

mlL

gmL

Page 67: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Specific gravity

• The density of a substance compared to a reference substance.

– Specific Gravity =

• Specific Gravity is unitless.

• Reference is commonly water at 4oC.

• At 4oC, density = specific gravity.

• Commonly used to test urine.

density of substancedensity of reference

Page 68: Chemistry 100(02) Fall 2001 Dr. Upali Siriwardane CTH 311 Phone 257-4941 Office Hours: M, Tu, W, Th, F 9:00-11:00 a.m. Test 1 : Chapters 1, 2: September.

Specific gravity measurement

Hydrometer

Float height willbe based onSpecific Gravity.