Chemistry Bernice Segal

10
Bernice  G.  Segal BARNARD COLLEGE COLUMBIA UNIVERSITY Chemistry Experiment  and Theory Second Edition John Wiley Sons NEW YORK • CHICHESTER • BRISBANE • TORONTO • SINGAPORE

Transcript of Chemistry Bernice Segal

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Bernice G.  Segal

BARNARD COLLEGE

COLUMBIA UNIVERSITY

Chemistry

Experiment

 and Theory

Second Edition

John Wiley Sons

NEW YORK • CHICHESTER • BRISBANE • TOR ON TO • SINGAPO RE

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Detailed Contents

Introduction

  1

Some Fundamental Definitions

  2

Units of Measurement

  4

Mass and Weight 5

Length 6

Volume 6

Density 7

Temperature 8

Physical and Chemical Properties

  10

Intensive and Extensive Propertie s 10

Dimensional

 A nalysis

  10

Significant Figures

  12

Rounding Numbers

  13

Determining the Number of Significant

Figures in a Calculated Value

  14

Exact versus Experimental Numbers

  16

Computational

 Techniques

  16

Problems

  18

Chapter 1 Atom ic S tructure and

Stiochiometry 22

1.1

 Subatomic Particles and the Structure of

Atoms  23

1.2 Isotopes  ofan Element  25

1.3 The

 Atomic Weight Scale

  25

4

 Avogadro's Numb er and the Concept ofa

Mole

  28

1.5

 Molecular Formulas and Molecular

Weightsfor Discrete Molecules

  30

1.6

 The Significance o f  Molecular Formulas

and  Molecular Weigh ts for Ionic Crystalline

Solids

  34

1.7

 Distinction between the Terms Molecular

Weight,  Formula Weight,  and Gram Atomic

Weight

  36

1.8 Empirical Formulas  37

1.9 The Significance ofBalanced Chem ical

Equations

  39

Significance of the CoefBcients in a Balanced

Equation 42

1.10

 Stoichiometric Calculations

  46

1.11

 The Limiting Reagent and the Yield of

Product  51

Summary   54

Exercises   55

Multiple Choice Q uestions  58

Problems

  59

Chapter 2 Introduction to the Periodic Table,

Some Families of Elements, and Inorganic

Nomendature 63

2.1

  The Sections ofthe  Periodic Table

  64

2.2

  The Metals

  67

The Active Me tals 69

2.3

  The Noble Gases

  71

2.4

  The Nonm etals

  72

The Halogens 73

The Chalcogens 74

2.5  The Unique Position ofHydrogen  76

2.6  The Transition Metals 11

2.7

 Ionic Crystalline Solids

  78

2.8

 M olecular Compounds

  78

2.9

 Some Simple

 Inorganic

 Nomendature

  80

2.10

 Nonstoichiometric Compounds

  83

Summary

  84

Multiple Choice Q uestions

  85

Problems

  86

Chapter 3 T he Gas Laws and Stoichiometry

Involving Gases  89

3.1

 Avogadro's Law a nd Its Use in

Determining

 Molecular

 Formulas

  90

Avogadro s Law 90

3.2

  The Pressure of Gases: D efinition,

Measurement, and U nits

  93

3.3

 Boyle's Law

  96

3.4

  The Law of Charles and Gay-Lussac

  100

3.5

  The Ideal Gas L aw

  103

3.6

 Dalton 's Law ofPartial Pressures

  110

Summary

  116

XV

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xv i  Detailed Contents

Exercises   116

Multiple Cho ice Q uestions

  119

Problems

  120

Chapter

 4

 The Properties

 of

 Gases

 and

 the

Kinetic -

 Molecular Theory

  125

4 1  The Postulates  ofthe Kinetic Theory of

Gases  126

4.2

  Correlations  between the Observed

Properties of Gases and the Postulates  ofthe

Kinetic-Molecular Theory  127

4.3

 A Critical Look a t Two ofthe  Postulates of

the Kinetic Theory of Gases

  129

4 4

 An Outline ofthe  Derivation ofBoyle's

Lawfrom the Postulates of Kinetic Th eory

  131

4 5   The Kinetic Theory of Temperature  135

4.6

  Energy U nits for PV and RT

  136

4.7

  The Mean-Square Speed,  the Root-Mean-

Square

 Speed,

  and the Mean Speed

  139

4.8

  Graham 's Law ofEffusion  141

4.9

  The Distribution  of Molecular

Velocities

  144

4 10

  van der W aals' Equation

  145

Summary   149

Exercises

  150

Multiple Choice Questions  151

Problems   153

Chapter

 5

 Intermolecular

 Forces,

 Condensed

Phases, and

 Changes

 of Phase 156

5 1

  van der Waals Forces

  157

Dipole-Dipole Interactions 157

London or Dispersion Forces 160

5.2

  The Hydrogen  Bond  162

5.3

  The Intermolecular Potential Energy

Function

  165

5 4 Molecular Arrangements

 in the

 Solid,

Liquid,

 and Gaseous States

  166

5 5  Vaporization, Fusion, and

Sublimation

  167

Vaporization 167

Fusion 168

Sublimation 168

5.6

  The Equilibrium between a Liquid and Its

Vapor  169

The Equilibrium Vapor Pressu re 170

5.7

  The Nature ofthe Equilibrium S tate: The

Tendency to Decrease the Potential Energy

and to Increase Molecular Disorder

  173

5 8  A Summary of Properties ofthe

Equilibrium State

  174

5.9

  The Temperature Dependence ofthe

Equilibrium  Vapor Pressure and the Normal

Boiling Point  175

The Normal Boiling Point 176

5 10 Phase Diagramsfor Pure Substances  177

The Vapor Pressure of Solids 177

One-Component Phas e Diagrams 178

Critical Temp erature and Pressure 180

Summary   181

Exercises

  182

Multiple Cho ice Qu estions

  186

Chapter 6 Properties ofDilute Solutions 189

6 1

  Dynam ic Equilibrium in Saturated

Solutions

  190

Saturated and Unsaturated Solutions 190

Equilibrium in Saturated Solutions 190

6.2

  C oncen tration Un its for Solutions

  192

The Mole Fraction 192

The Molality 193

The Molarity 194

Formality versus Mo larity 198

Weight Percentage 199

6.3

  The Vapor Pressure ofa Solution of a

Nonvolatile

 Solute in a

  Volatile

 Solvent:

Raoult 's Law

  200

Raoult s Law 200

6.4

  The Elevation ofthe Boiling Point of

Dilute Solutions ofa Non volatile Solute   203

6.5

  The Depression o fthe Freezing Point of

Dilute Solutions ofa Nonvolatile Solute

  205

6.6

 Freezing Point Depressions and Boiling

Point Elevations for Solutions of

Electrolytes

  208

6.7

  Osmotic Pressure

  210

6.8

  Solutions of Two Volatile Liquids

  212

Fractional Distillation 215

Nonideal Solutions 216

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Detailed Contents   xvii

6.9 Henry's Law

  218

Summary  219

Exercises  220

Multiple Choice Q uestions

  223

Problems  TLA

Chapter 7 Aqueous Solutions

 and Ionic

Reactions 228

7 1 The Role of Water as a Solven t for Ionic

Crystalline Solids  229

The Dipole Moment of Water and the Hydration of

Ions 229

The Dielectric Constant of Wa ter 231

7.2 Nonelectrolytes  233

7.3 Strong and W eak Electrolytes  234

Acids 235

Bases 235

Salts 236

7.4 Proton-Transfer

 Reactions:

 The

 Br0nsted-

Lowry Theory ofAcids and Bases

  237

Acidic Hydrogen Atoms 240

7 5

 A Summ ary of Information about the

Solubilities of Electrolytes  in Water

  241

7.6 Writing Correctly Balanced Net Ionic

Equations  242

7.7 Stoichiometry of Ionic R eactions in

Aqueous Solutions

  247

Summary  252

Exercises

  253

Multiple Choice Questions

  255

Problems  257

Chapter

 8

 Introduction

  to the Law of

Chemical Equilibrium

  260

8 1 The Ideal Law of Chemical Equilibrium

or the Law ofMass Action  261

The Equilibrium Constant for a Gas-P hase Reaction:

K,aaAK

c

  262

Reactions in Aqueous Solution in Wh ich W ater is a

Reactant or Product 264

Equilibrium Constants for Heterogeneous

Reactions 265

8.2 The Magnitude ofthe Equilibrium

Constant and the Direction o f Reac tion  266

The Reaction Quotient, ß 267

The Significance of the Magnitude of

 K„,

  268

8.3 Factors Ajfecting the Eq uilibrium

Constant

  271

8.4

  Le Chatelier's Principle

  272

1. The Effect on a System at E quilibrium of Changing

the Concentration of One of the Reacting Species 272

Dissolving Solids That are Insoluble in Pure

Water 273

Removing an Ion from Solution by Precipitation of an

Insoluble Salt Containing Tha t Ion 274

2.  Pressure Effects for Gas-P hase Reactions 275

3.

 The Effect of a Change in Tem perature 276

8.5   Numerical Values of Equilibrium

Con stants for Rea ctions W ritten in the Reverse

Direction and for Simultaneous

Equilibria   279

The Effect of Reversing the Equilibrium Equation 279

The Effect of Mu ltiplying an Equation by a

Constant 280

Simultaneous Equilibria 281

8.6  Some Typical Problems  in Gas-Phase

Equilibria   283

Summary  286

Exercises

  287

Multiple Choice Qu estions  292

Problems  294

Chapter

 9 Acids, Bases, and Salts 298

9 1  The Ion Product of Water and the pH

Scale  299

Self-Ionization Reactions 299

The Ion Product of W ater, K

w

  300

The pH Scale 301

9.2   Weak Acids and Bases  305

The Acidity Co nstant,

 K„

  305

The Basicity Constant, K

b

  305

The Degree of Dissociation, a  306

9 3 Conjugate Acids and B ases and Their

Relative Strengths  313

9.4  Weak Polyprotic Acids

  316

9.5  A cidic, Basic, and Ne utral Salts  318

Acidic Salts 318

Basic Salts 320

Neutral Salts 321

Salts of Both a Weak Acid and a Weak B ase 323

Ampholytes 323

Acidic and Basic Oxides 324

9.6   The Leveling Effect of Water on the

Strengths of Strong Acids and Bases  326

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Detailed Contents   xix

13 2 The Spin Quantum Number and the

Pauli Exclusion Principle

  453

13 3 The Aufbau Process and the Periodic

Table

  456

The Building-Up (Aufbau) of the Periodic Table 457

13 4

 Group  18

 (VIIIA),

  The Noble Gases: The

Relationship between Their Chem istry and

Their Electronic Configurations  460

13 5

  The Periods ofthe  Periodic Table and the

Electronic Configurations ofthe First Series of

Transition Metals

  462

Transition M etal Ions 463

The Long Periods of the Periodic Table 463

13.6

 A

 Periodic Property:

  The Ionization

Energy  466

13.7 A Periodic Property:  The Electron

Affinity

  469

13 8 A Periodic Property:  The

Electronegativity  470

13.9

 A Periodic

 Property:

 Atomic Size

  471

13 10 Periodicity in

 Bonding:

 Ionic versus

Covalent Bonding Across the Short

Periods  473

Lewis Dot Formulas 473

Validity of the Octet Rule 474

Electronegativity and Bond Type 474

13 11

 The Relationship between  the Chemistry

and the Electronic Configurations  ofthe Alkali

and the Alkaline Earth Metals

  476

The Alkali Metals 476

The Alkaline Earth Me tals 477

13 12

 T he Halogens: The Relationship

between  Their Chemistry and Their Electronic

Configurations  480

13 13  The Chalcogens (O xygen Family): The

Relationship between Their Chem istry and

Their Electronic Configurations

  481

Isoelectronic Ions 482

Summary

  482

Exercises  485

Multiple Choice Qu estions

  487

Problems  490

Chapter

 14

 The Nature

 ofthe

 Chemical

Bond 492

14 1 Ionic versus Covalent Bonding  493

14 2 Lewis Structures  496

Multiple Bonds 496

Formal Charges 499

The Concept of Resonance 500

Exceptions to the Octet Rule 502

Species with an Odd Number of Valence

Electrons 502

Electron Deflcient Compounds 502

Expanded Valence Shells 503

14 3

 Valence-Shell Electron-Pair Repulsion

(VSEPR) Theory

  504

14 4

 Mo lecular Orbitals

 ofH

2

  511

Sigma (<r)-Molecular Orbita ls 512

The Bonding Molecular Orb ital 512

The Potential Energy Curve for H

2

  513

Molecular Orbitals as Linear Combinations of Atomic

Orbitals 514

Species with Valence Electrons in the a ls  and

 a*ls

Molecular Orbitals 515

The Species H

2

  and He

2

  515

14 5 Hom onuclear Diatomic Molecules  ofthe

Second Period

  516

The a ls  and  a*2s Molecular Orbitals 516

7t-Molecular Orb itals 517

Bonding in B

2

, C

2

, and N

2

  519

Bonding in 0

2

  522

14 6

 Heteronuclear Diatomic Molecules  ofthe

Second Period

  523

14 7

 Hybrid Atomic Orbitals and the

Molecular Geom etry of Polyatomic

Molecules  525

14 8

 M ultiple Bonds

  533

Delocalized Orb itals 534

4 9

 Hydrogen Bridge Bonds; the Boranes

  537

Summary   537

Exercises  541

Multiple Cho ice Q uestions

  542

Problems  544

Chapter

 15 O xidation States and

 Oxidation

 -

Reduction Reactions  547

15 1 D efinitions of Oxidation and

Reduction

  548

15 2 The Oxidation State ofan Element  549

Formal Charge versus Oxidation State 551

Intermediate Oxidation State s 552

Fractional Oxidation State s 552

The Oxidation State as a Periodic Property 553

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xx  Detailed Contents

15 3

 Balancing  Oxidation-Reduction

Equations

  554

The Ion - Electron Method 560

Balancing Oxidation-Reduction Equations in Basic

Solution 562

Disproportionation 563

15 4   The Redox Chemistry of Group 15 (VA)

Elements  565

The Oxidation States of Phosphorus 570

The Oxidation States of

 A s,

 Sb, and Bi 571

15 5

  The Oxidation States of Chlorine and

Other Group 17 (VIIA) Elements

  572

Other Halogens 575

15 6   Oxidation States ofthe Transition Me tals

Chromium and Manganese  575

Redox Chemistry of Chromium 575

Redox Chemistry of Man ganese 577

Summary  578

Exercises  579

Multiple Choice Q uestions

  581

Problems

  583

Chapter 16 Energy, E nthalpy, and

Thermochemistry 586

16 1  State Functions  587

16 2 Heat and Work  588

Work 588

Sign Convention for Wo rk 588

The Work of Expansion 589

Heat 591

The Mechanical Equivalent of Hea t 592

16 3

  The First Law of Thermodynamics

  593

Statements of the First Law of Thermodynam ics 595

16 4 E nergy and Enthalpy  595

Reactions Carried Out at Constant Volume 596

Reactions Carried Out at Constant Pressure 596

The R elationship betwen

 A H

  and A £ 597

16 5  Thermochemistry  599

Standard Heats of Formation,

 A H}

  600

Calculations Using He ss Law 601

Heats of Combustion 603

16 6

 Bond Enthalpies

  604

The C— H Bond Enthalpy 605

The C—C Bond Enthalpy 606

Tabulation of Bond Enth alpies 607

16 7  Heat Capacity  609

The Relation between

 C

p

 and C„ 611

Molecular Origins of Heat Capacity 612

16 8

 C alorimetry

  614

Summary

  617

Exercises  619

Multiple Choice Q uestions  621

Problems  624

Chapter 17 Entropy,  Free  Energy, and

Equilibrium 627

17.1

 Energy and

 Spontaneity:

 The Needfor a

Second Law

  628

Spontaneity and Molecular Disorder 629

17.2 Reversible Processes  630

17 3 Derivation  ofthe  Reversible W ork of

Expansion ofan Ideal Gas  632

17 4 The Maximum Work That Can Be Done

by an Isothermal Expansion ofan Ideal

Gas

  632

17 5

  The Entropy Changefor an Isothermal

Process

  633

AS

  for Isothermal Phase Changes 634

The Entropy of Vaporization,  A 5

va p

  634

The Entropy Change on Fusion 636

17 6   The Second Law of

Thermodynamics   636

17 7   The Gibbs F ree Energy Function  637

17 8   Calculation of AG"  639

Absolute Entropies 639

Calculation ofA 5° 641

Calculation of  G°  Values 642

Free Energies of Formation,

 A G}

  644

17 9 AG " and the Equilibrium Constant  645

17 10  The Temperature Dependence ofAH,

AS,AG,andK

eq

  648

The Temperature Dependence of

 AH

  and

 A S

  648

The Temperature Dependence of AG 648

The Temperature Dependence of

 K ^

  649

Summary

  652

Exercises  654

Multiple Choice Q uestions  657

Problems  658

Chapter 18 Electrochemistry  661

18 1

  The Use o f Oxidation - Reduction

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Detailed Contents   xxi

Reactions  to Produce Electricity:  The Galvanic

Cell

  662

The Design of Galvanic Cells 662

The Need for a Salt Bridge 663

Anode and Cathode Reactions 664

Definition of the Farad ay 664

Cells with M etal Electrodes That Take P art in the

Reaction 664

Electrical Current 665

18 2 The EMF ofa  Galvanic Cell  667

Deflning the Zero of Poten tial Energy 667

Definition of Electromotive Force (EM F) 667

The Standard Hydrogen Electrode 668

18 3

 Cell Conventions and Half-Cell

Potentials   668

18 4 Significance  ofthe Sign ofthe Cell

Potential  672

18 5

 The Table of Standard Reduction

Potentials   673

18 6 Concentration Dependence  ofthe Cell

EM F   676

The Relation between AG and A ^ , , 676

The Nernst Equation 678

18.7 ProofThat the Cell Poten tial Is

Independent

 ofthe Form ofthe Net Cell

Reaction

  680

18 8 Concentration Cells  681

18 9 Use ofthe Nernst Equation to Determine

the Equilibrium Constant  684

The Use of the Nernst Equation to Determine

Solubility Produ cts 688

18 10

  The Relation between All the Criteria

for Predicting the Direction  ofa Spontaneous

Reaction  689

18 11

 C omm ercial Batteries

  690

The Lead Storage Battery 690

The Dry Cell 692

The Mercury Cell 693

Nickel-Cadmium Batteries 693

18 12 Electrolysis 694

Electrolysis of Mo lten Salts 695

The Commercial Production of Aluminum 696

Electrolysis of Aqueous Solutions 698

Overvoltage 700

Electroplating 700

Summary  702

Exercises  704

Multiple Choice Qu estions  707

Problems  709

Chapter

 19

 Chemical

 Kinetics 712

19 1 Factors Affecting the Rates of Chemical

Reactions  714

19 2

  The Rate Exp ression

  714

The Order of Reaction 717

Units of Rates and Rate Constants 720

19 3 Determination ofthe Order of Reaction

by the Method of Initial R ates  720

19 4

 First-Order Reactions

  723

TheHalf-Life 725

Radioactive Decay 727

Pseudo-Order Reactions 728

19 5

 Second-Order

 Reactions  729

19 6   The Temperature Dependence of Rate

Constants  731

Effective Collisions 732

The Activation Energy 734

The Arrhenius Equation 734

19 7 Transition State Theory and the Activated

Complex  731

Potential Energy versus Reaction Coordinate

Diagrams 737

19 8   The Relation between the Mechanism of

a Reaction and Kinetics Data

  739

The Hydrogen Iodide Reaction 741

Molecularity versus Order 741

Catalysis 743

19 9

 Chain Reactions

  746

19 10 Reaction Rates and Equilibrium  746

Summary  747

Exercises  750

Multiple Choice Q uestions  754

Problems  756

Chapter 2 0 Coordination Compounds  761

20 1 Ligands and the Coordinate Bond  762

20 2  The

 Coordination

 Number  763

20 3 Lewis Acids and Bases  765

Cation Acids 766

20 4 Inert versus Labile C omplexes  768

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xxii  Detailed Contents

20 5 Evidence for the Existence ofCom plex

Ions

  769

20.6

 N omenclature  773

Rules for Naming S alts th at contain a Com plex Ion or

Ions 773

The Rule for Naming Nonionic or Molecular

Complexes 774

The Rule for Nam ing Compounds with a Bridging

Ligand or Ligands 774

20 7

  The G eometry of Coordination

Comp ounds; Isomers 116

Geometries for Coordination Number 4 776

Cis-Trans Isomerism for Four-Coordinate

Complexes 776

Geometries for Coordination Num ber 5 777

Octahedral Geometry for Coordination Number 6 778

Linkage Isomerism 780

20.8

 Optica

Isomerism   780

20 9

  The Effective Atomic N umber (EAN)

Rule  782

20 10 Magnetic Mom ents of Transition Metal

Complexes

  784

Diamagnetism and Paramagnetism 784

Spin-Only Magnetic Mom ents 786

High-Spin and Low-Spin Complexes 786

The Colors of Transition Metal Complexes 786

20 11

 Theories of Bonding in Coordination

Complexes

  787

Crystal Field Theory for Octahedral Complexes 787

High-Spin versus Low-Spin Octahedral

Complexes 789

The Spectrochemical Series 790

Crystal Field Splittings for Geometries Other Than

Octahedral 791

Absorption Spectra 793

Ligand Field Theory 795

Summary  796

Exercises

  797

Multiple Choice Q uestions

  800

Problems  802

Chapter 2 Properties and Structures of

Metallic and

 Ionic

 Crystalline Solids 805

21 1

 Crystalline and Amorphous Solids

  806

21 2

 Crystal Defects

  807

21 3

  The Structures o f Metals

  808

Hexagonal and Cubic Close Packing 808

Body-Centered Cubic Structures 810

21.4

 Metallic Bond ing  811

Band Theory of M etals 812

21 5

  The Seven Crystal Systems

  813

The Fourteen Bravais Lattices 815

21 .6

 X-Ray Diffraction

  816

Constructive and Destructive Interference 817

21.7

 Atomic Dimensions and Unit Cell

Geometry

  820

Structural Relations for the Three Cubic Lattices 820

Calculation of Ionic Radii 822

21.8

 The La ttice Energy oflonic  Crystals

  825

The Effect of Cations without Rare Gas Electronic

Configuration 827

21.9

  The Born

 -

 Hab er Cycle

  828

Summary

  829

Multiple Choice Questions

  831

Problems

  833

Chapter

 22 R adioactivity and

 Nuclear

Chemistry 836

22 1  Subatomic Particles and Nuclides  837

22 2

 Nuclear Binding Energies

  838

Nucleon Pairing 842

Fusion 843

Fission 844

Breeder Reactors 847

22.3

 Ra dioactivity

  847

Nuclear Stability 847

Shell Model of the Nucleus 849

Beta Decay for Neutron-Rich Nuclei 849

Decay Processes for Neutron-Poor Nuclei 851

Electron Capture 851

Positron Emission 851

a   Decay 853

Gamma-Ray Emission 855

22.4

 Naturally Occurring Radioactive

Substances  856

The Uranium Series 856

The Thorium Series 856

The Actinium Series 857

22.5

  The Rate of Radioactive Decay

  857

22 6  The Uses of Radioactivity  859

Isotope Dilution 859

Radiocarbon Dating 861

Isotopic Tracer Techniques 865

Summary

  865

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Detailed Contents   xxiii

Exercises  867

Multiple

 Choice Questions  869

Problems

  871

Chapter

 2 3

 Introduction

  to

 Organic

Chemistry  874

23 1 Bonding in Organic Compounds  875

Methane and Ethane 875

Ethylene 877

Aeetylene 878

Comparing sp

3

, sp

2

, and  sp Hybridization 878

23 2

 Geometrie Isomerism

  879

23 3 Op tica Isomerism   880

23 4

 A romaticity  882

Heterocyclic Aromatic Compounds 884

23 5 The Alkanes  885

Straight-Chain or Normal Alkanes 885

Branched-Chain Alkanes 886

Nomenclature of Alkanes 887

23 6 Functional Croups  889

Alkenes 889

Alcohols 891

Ethers 891

Amines 893

Aldehydes and Ketones 894

Carboxylic Acids and Their Derivative s 895

Esters 897

Amides 897

23 7 Oxidation States of Carbon  898

23 8 Brief Survey of

 Biologically

 Important

Compounds

  898

Fats 899

Phospholipids 900

Proteins 900

Carbohydrates 903

23 9 Synthetic Polymers

  904

Nylon: A Condensation Polymer 905

Polyvinyl Chloride: An Addition Polymer 905

Summary

  906

Multiple Choice Qu estions  908

Problems

  910

Appendix A Units

 and

 Conversion

Factors 915

Appendix

 B Mathem atical

 Operations

 and

Techniques  917

B l Exponents  917

Expo nential (Scientific) Notation 917

Addition and Subtraction of Expon ential Num bers 917

Multiplication of Expon ential Num bers 917

Division of Exponential Num bers 918

Powers of Exponential Num bers 918

Roots of Exponential Num bers 918

Exercises Involving Expo nential

Numbers

  919

B2.

 Logarithms

  919

Base 10 Logarithms 919

Base 10 Antilogarithms 920

Exercises Involving Logarithms

  921

Fundamental Properties of Logarithms 921

Natural Logarithms 922

m.Graphs   923

B4. Quadratic Equations

  924

Exercises in the Use ofthe Quadratic

Formula

  924

Appendix C Experimental

Uncertainties

  925

Problems  926

Appendix  D Derivat ion ofthe Conversion

Factor between

  Two

 Units

 o f

 Pressure,

  the

Atmosphere

 and

 the

 Pascal  927

Appendix E

  Equilibrium Constants

 at

25 °C   929

Table El

Acidity C onstants of Weak

Acids  929

Table E2

Solubility Product Con stants

  930

Appendix F Standard

 Chemical

 Thermo-

dynamic Data at 25 °Cand 101.325 kPa

latm)

  932

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xxiv  Detailed Contents

Appendix G Standard Electrode Potentials

at25°C   938

Appendix I Derivat ion ofthe Relations

AG = AG° +RTlnQ and

AG = RT ln(Q/K

eq

)   943

Appendix J Derivation ofthe Integrated

Forms ofthe First- and Second-Order Rate

Laws   946

Appendix K Methods ofSolving Problems in

Acid-Base Equilibria when the Self-

Ionization of Wa ter Cannot Be Neglected   947

K l .  Solutions of Strong Acids  947

K 2.

  Solutions ofWeakA cids  948

Glossary   949

Credits  990

Index   993

Appendix H Bohr Theory ofthe H A tom   940