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Principles of Chemistry A Molecular Approach

FOURTH EDITION

Nivaldo J. Tro

Beryllium

List of Elements with Their Symbols and Atomic Masses

The labels on top (1A, 2A, etc.) are common American usage. The labels below these (1, 2, etc.) are those recommended by the International Union of Pure and Applied Chemistry. Atomic masses in brackets are the masses of the longest-lived or most important isotope of radioactive elements.

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Principles of Chemistry A MOLECULAR APPROACH

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Principles of Chemistry

A MOLECULAR APPROACH

GLOBAL EDITION

Nivaldo J. Tro

Pearson Education Limited

KAO Two

KAO Park

Hockham Way

Harlow Essex

CM17 9SR

United Kingdom

and Associated Companies throughout the world

Visit us on the World Wide Web at: www.pearsonglobaleditions.com

© Pearson Education Limited, 2021

The rights of Nivaldo J. Tro to be identified as the author of this work has been asserted by him in accordance with the Copyright, Designs and Patents Act 1988.

Authorized adaptation from the United States edition, entitled Principles of Chemistry: A Molecular Approach, 4th Edition, ISBN 978-0-13-489574-1 by Nivaldo J. Tro, published by Pearson Education © 2020

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without either the prior written permission of the publisher or a license permitting restricted copying in the United Kingdom issued by the Copyright Licensing Agency Ltd, Saffron House, 6–10 Kirby Street, London EC1N 8TS.

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British Library Cataloguing-in-Publication Data

A catalogue record for this book is available from the British Library

ISBN 10: 1-292-34888-7

ISBN 13: 978-1-292-34888-9

eBook ISBN 13: 978-1-292-34894-0

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About the Author

Nivaldo Tro has been teaching college Chemistry since 1990 and is currently teaching at Santa Barbara City College. He received his Ph.D. in chemistry from Stanford University for work on developing and using optical techniques to study the adsorption and desorption of molecules to and from surfaces in ultrahigh vacuum. He then went on to the University of California at Berkeley, where he did postdoctoral research on ultrafast reaction dynamics in solution. Professor Tro has been awarded grants from the American Chemical Society Petroleum Research Fund, the Research Corporation, and the National Science Foundation to study the dynamics of various processes occurring in thin adlayer films adsorbed on dielectric surfaces. Professor Tro lives in Santa Barbara with his wife, Ann, and their four children, Michael, Ali, Kyle, and Kaden. In his leisure time, Professor Tro enjoys mountain biking, surfing, and being outdoors with his family.

To Michael, Ali, Kyle, and Kaden

Interactive Media Contents in Mastering Chemistry

KEY CONCEPT VIDEOS (KCVs)

1.1 Atoms and Molecules

1.3 Classifying Matter

1.6 Units and Significant Figures

1.7 Significant Figures in Calculations

1.8 Solving Chemical Problems

2.3 Atomic Theory

2.6 Subatomic Particles and Isotope Symbols

2.7 The Periodic Law and the Periodic Table

2.9 The Mole Concept

3.5 Naming Ionic Compounds

3.6 Naming Molecular Compounds

4.2 Writing and Balancing Chemical Equations

4.3 Reaction Stoichiometry

4.4 Limiting Reactant, Theoretical Yield, and Percent Yield

5.2 Solution Concentration

5.5 Reactions in Solutions

6.3 Simple Gas Laws and Ideal Gas Law

6.6 Mixtures of Gases and Partial Pressures

6.8 Kinetic Molecular Theory

7.3 The First Law of Thermodynamics

7.4 Heat Capacity

7.6 The Change in Enthalpy for a Chemical Reaction

7.9 Determining the Enthalpy of Reaction from Standard Enthalpies of Formation

8.2 The Nature of Light

8.4 The Wave Nature of Matter

8.5A Quantum Mechanics and the Atom: Orbitals and Quantum Numbers

8.5B Atomic Spectroscopy

9.3 Electron Configurations

9.4 Writing an Electron Configuration Based on an Element’s Position on the Periodic Table

9.6 Periodic Trends in the Size of Atoms and Effective Nuclear Charge

10.5 The Lewis Model for Chemical Bonding

10.6 Electronegativity and Bond Polarity

10.7 Writing Lewis Structures for Molecular Compounds

10.8 Resonance and Formal Charge

10.9 Exceptions to the Octet Rule and Expanded Octets

11.2 VSEPR Theory

11.3 VSEPR Theory: The Effect of Lone Pairs

11.5 Molecular Shape and Polarity

11.6 Valence Bond Theory

11.7 Valence Bond Theory: Hybridization

12.3 Intermolecular Forces

12.5 Vaporization and Vapor Pressure

12.7 Heating Curve for Water

12.8 Phase Diagrams

13.3 Unit Cells: Simple Cubic, Body-Centered Cubic, and Face-Centered Cubic

14.4 Solution Equilibrium and the Factors Affecting Solubility

14.5 Solution Concentration: Molarity, Molality, Parts by Mass and Volume, Mole Fraction

14.6 Colligative Properties

15.2 The Rate of a Chemical Reaction

15.3 The Rate Law for a Chemical Reaction

15.4 The Integrated Rate Law

15.5 The Effect of Temperature on Reaction Rate

15.6 Reaction Mechanisms

16.3 The Equilibrium Constant

16.7 The Reaction Quotient

16.8 Finding Equilibrium Concentrations from Initial Concentrations

16.9 Le Châtelier’s Principle

17.3 Definitions of Acids and Bases

17.4 Acid Strength and the Acid Ionization Constant

17.5 The pH Scale

17.6 Finding the [H3O + ] and pH of Strong and Weak Acid Solutions

17.8 The Acid–Base Properties of Ions and Salts

18.2A Buffers

18.2B Finding pH and pH Changes in Buffer Solutions

18.4A The Titration of a Strong Acid with a Strong Base

18.4B The Titration of a Weak Acid and a Strong Base

19.3 Entropy and the Second Law of Thermodynamics

19.6 The Effect of ∆H, ∆S, and T on Reaction Spontaneity

19.7 Standard Molar Entropies

20.3 Voltaic Cells

20.4 Standard Electrode Potentials

20.5 Cell Potential, Free Energy, and the Equilibrium Constant

21.3 Types of Radioactivity

INTERACTIVE WORKED EXAMPLES (IWEs)

1.5 Determining the Number of Significant Figures in a Number

1.6 Significant Figures in Calculations

1.8 Unit Conversion

1.9 Unit Conversions Involving Units Raised to a Power

1.10 Density as a Conversion Factor

1.12 Problems with Equations

2.3 Atomic Numbers, Mass Numbers, and Isotope Symbols

2.5 Atomic Mass

2.8 The Mole Concept—Converting between Mass and Number of Atoms

2.9 The Mole Concept

3.3 Writing Formulas for Ionic Compounds

3.11 Using the Nomenclature Flowchart to Name Compounds

3.13 The Mole Concept—Converting between Mass and Number of Molecules

3.15 Using Mass Percent Composition as a Conversion Factor

3.16 Chemical Formulas as Conversion Factors

3.18 Obtaining an Empirical Formula from Experimental Data

3.21 Determining an Empirical Formula from Combustion Analysis

4.2 Balancing Chemical Equations

4.3 Balancing Chemical Equations Containing a Polyatomic Ion

4.4 Stoichiometry

4.6 Limiting Reactant and Theoretical Yield

5.1 Calculating Solution Concentration

5.2 Using Molarity in Calculations

5.3 Solution Dilution

5.4 Solution Stoichiometry

5.5 Predicting Whether an Ionic Compound Is Soluble

5.6 Writing Equations for Precipitation Reactions

5.9 Writing Equations for Acid–Base Reactions Involving a Strong Acid

5.11 Acid–Base Titration

5.13 Assigning Oxidation States

6.5 Ideal Gas Law I

6.7 Density

6.8 Molar Mass of a Gas

6.10 Partial Pressures and Mole Fractions

6.11 Collecting Gases over Water

6.12 Gases in Chemical Reactions

6.15 Graham’s Law of Effusion

7.2 Temperature Changes and Heat Capacity

7.3 Thermal Energy Transfer

7.5 Measuring ∆ Erxn in a Bomb Calorimeter

7.7 Stoichiometry Involving ∆H

7.8 Measuring ∆ Hrxn in a Coffee-Cup Calorimeter

7.9 Hess’s Law

7.11 ∆ H° rxn and Standard Enthalpies of Formation

8.2 Photon Energy

8.3 Wavelength, Energy, and Frequency

8.5 Quantum Numbers I

8.7 Wavelength of Light for a Transition in the Hydrogen Atom

9.2 Writing Orbital Diagrams

9.4 Writing Electron Configurations from the Periodic Table

9.5 Atomic Size

9.6 Electron Configurations and Magnetic Properties for Ions

9.8 First Ionization Energy

10.4 Writing Lewis Structures

10.6 Writing Lewis Structures for Polyatomic Ions

10.7 Writing Resonance Structures

10.8 Assigning Formal Charges

10.9 Drawing Resonance Structures and Assigning Formal Charge for Organic Compounds

10.10 Writing Lewis Structures for Compounds Having Expanded Octets

10.11 Calculating ∆ Hrxn from Bond Energies

11.1 VSEPR Theory and the Basic Shapes

11.2 Predicting Molecular Geometries

11.4 Predicting the Shape of Larger Molecules

11.5 Determining Whether a Molecule Is Polar

11.8 Hybridization and Bonding Scheme

11.10 Molecular Orbital Theory

12.1 Dipole–Dipole Forces

12.2 Hydrogen Bonding

12.3 Using the Heat of Vaporization in Calculations

12.5 Using the Two-Point Form of the Clausius–Clapeyron Equation to Predict the Vapor Pressure at a Given Temperature

13.3 Relating Unit Cell Volume, Edge Length, and Atomic Radius

13.4 Relating Density to Crystal Structure

14.2 Henry’s Law

14.3 Using Parts by Mass in Calculations

14.4 Calculating Concentrations

14.5 Converting between Concentration Units

14.6 Calculating the Vapor Pressure of a Solution Containing a Nonelectrolyte and Nonvolatile Solute

14.9 Boiling Point Elevation

14.12 Calculating the Vapor Pressure of a Solution Containing an Ionic Solute

15.1 Expressing Reaction Rates

15.2 Determining the Order and Rate Constant of a Reaction

15.4 The First-Order Integrated Rate Law: Determining the Concentration of a Reactant at a Given Time

15.8 Using the Two-Point Form of the Arrhenius Equation

15.9 Reaction Mechanisms

16.1 Expressing Equilibrium Constants for Chemical Equations

16.3 Relating K p and K c

16.5 Finding Equilibrium Constants from Experimental Concentration Measurements

16.7 Predicting the Direction of a Reaction by Comparing Q and K

16.8 Finding Equilibrium Concentrations When You Know the Equilibrium Constant and All but One of the Equilibrium Concentrations of the Reactants and Products

16.9 Finding Equilibrium Concentrations from Initial Concentrations and the Equilibrium Constant

16.12 Finding Equilibrium Concentrations from Initial Concentrations in Cases with a Small Equilibrium Constant

16.14 The Effect of a Concentration Change on Equilibrium

17.1 Identifying Brønsted–Lowry Acids and Bases and Their Conjugates

17.3 Calculating pH from [H3O + ] or [OH - ]

17.5 Finding the [H3O + ] of a Weak Acid Solution

17.7 Finding the pH of a Weak Acid Solution in Cases Where the x is small Approximation Does Not Work

17.8 Finding the Equilibrium Constant from pH

17.9 Finding the Percent Ionization of a Weak Acid

17.12 Finding the [OH - ] and pH of a Weak Base Solution

17.14 Determining the pH of a Solution Containing an Anion Acting as a Base

17.16 Determining the Overall Acidity or Basicity of Salt Solutions

18.2 Calculating the pH of a Buffer Solution as an Equilibrium Problem and with the Henderson–Hasselbalch Equation

18.3 Calculating the pH Change in a Buffer Solution after the Addition of a Small Amount of Strong Acid or Base

18.4 Using the Henderson–Hasselbalch Equation to Calculate the pH of a Buffer Solution Composed of a Weak Base and Its Conjugate Acid

18.6 Strong Acid–Strong Base Titration pH Curve

18.7 Weak Acid–Strong Base Titration pH Curve

18.8 Calculating Molar Solubility from K sp

18.12 Predicting Precipitation Reactions by Comparing Q and Ksp

19.2 Calculating ∆S for a Change of State

19.3 Calculating Entropy Changes in the Surroundings

19.4 Calculating Gibbs Free Energy Changes and Predicting Spontaneity from ∆H and ∆S

19.5 Calculating Standard Entropy Changes ( ∆ S ° rxn)

19.6 Calculating the Standard Change in Free Energy for a Reaction Using ∆ G

19.10 Calculating ∆ Grxn under Nonstandard Conditions

19.11 The Equilibrium Constant and ∆ G ° rxn

20.2 Half-Reaction Method of Balancing Aqueous Redox Equations in Acidic Solution

20.3 Balancing Redox Reactions Occurring in Basic Solution

20.4 Calculating Standard Potentials for Electrochemical Cells from Standard Electrode Potentials of the Half-Reactions

20.6 Relating ∆ G° and E ° cell

21.1 Writing Nuclear Equations for Alpha Decay

21.2 Writing Nuclear Equations for Beta Decay, Positron Emission, and Electron Capture

21.4 Radioactive Decay Kinetics

21.5 Radiocarbon Dating

1 Matter, Measurement, and Problem Solving 42

1.1 Atoms and Molecules 43

1.2 The Scientific Approach to Knowledge 45

THE NATURE OF SCIENCE Thomas S. Kuhn and Scientific Revolutions 47

1.3 The Classification of Matter 47

The States of Matter: Solid, Liquid, and Gas 48

Classifying Matter by Composition: Elements, Compounds, and Mixtures 49 Separating Mixtures 50

1.4 Physical and Chemical Changes and Physical and Chemical Properties 51

1.5 Energy: A Fundamental Part of Physical and Chemical Change 54

1.6 The Units of Measurement 55

Standard Units 56 The Meter: A Measure of Length 56 The Kilogram: A Measure of Mass 56

The Second: A Measure of Time 56 The Kelvin: A Measure of Temperature 57 Prefix Multipliers 59

Derived Units: Volume and Density 59 Volume 60

Density 60 Calculating Density 61

CHEMISTRY AND MEDICINE Bone Density 62

1.7 The Reliability of a Measurement 62

Counting Significant Figures 64 Exact Numbers 64 Significant Figures in Calculations 65 Precision and Accuracy 67

CHEMISTRY IN YOUR DAY Integrity in Data Gathering 68

1.8 Solving Chemical Problems 68

Converting from One Unit to Another 68 General Problem-Solving Strategy 70 Units Raised to a Power 72 Order-of-Magnitude Estimations 73 Problems Involving an Equation 74

1.9 Analyzing and Interpreting Data 75

Identifying Patterns in Data 75 Interpreting Graphs 76

CHAPTER IN REVIEW Self-Assessment Quiz 78 Terms 79 Concepts 80 Equations and Relationships 80 Learning Outcomes 80

EXERCISES Review Questions 81 Problems by Topic 81

Cumulative Problems 85 Challenge Problems 87

Conceptual Problems 87 Questions for Group Work 88 Data Interpretation and Analysis 88 Answers to Conceptual Connections 89

2 Atoms and Elements 90

2.1 Brownian Motion: Atoms Confirmed 91

2.2 Early Ideas about the Building Blocks of Matter 93

2.3 Modern Atomic Theory and the Laws That Led to It 93

The Law of Conservation of Mass 93 The Law of Definite Proportions 94 The Law of Multiple Proportions 95 John Dalton and the Atomic Theory 96

CHEMISTRY IN YOUR DAY Atoms and Humans 96

2.4 The Discovery of the Electron 97 Cathode Rays 97 Millikan’s Oil Drop Experiment: The Charge of the Electron 98

2.5 The Structure of the Atom 99

2.6 Subatomic Particles: Protons, Neutrons, and Electrons in Atoms 101

Elements: Defined by Their Numbers of Protons 102 Isotopes: When the Number of Neutrons Varies 103 Ions: Losing and Gaining Electrons 105

CHEMISTRY IN YOUR DAY Where Did Elements Come From? 106

2.7 Finding Patterns: The Periodic Law and the Periodic Table 107

Modern Periodic Table Organization 108 Ions and the Periodic Table 110

CHEMISTRY AND MEDICINE The Elements of Life 111

2.8 Atomic Mass: The Average Mass of an Element’s Atoms 111

Mass Spectrometry: Measuring the Mass of Atoms and Molecules 112

CHEMISTRY IN YOUR DAY Evolving Atomic Masses 114

2.9 Molar Mass: Counting Atoms by Weighing Them 115

The Mole: A Chemist’s “Dozen” 115 Converting between Number of Moles and Number of Atoms 116 Converting between Mass and Amount (Number of Moles) 117

CHAPTER IN REVIEW Self-Assessment Quiz 120 Terms 121 Concepts 122 Equations and Relationships 122 Learning Outcomes 123

EXERCISES Review Questions 123 Problems by Topic 124

Cumulative Problems 127 Challenge Problems 128 Conceptual Problems 129 Questions for Group Work 130 Data Interpretation and Analysis 130 Answers to Conceptual Connections 131

3 Molecules and Compounds 132

3.1 Hydrogen, Oxygen, and Water 133

3.2 Chemical Bonds 135 Ionic Bonds 135 Covalent Bonds 136

3.3 Representing Compounds: Chemical Formulas and Molecular Models 136 Types of Chemical Formulas 136 Molecular Models 138

3.4 An Atomic-Level View of Elements and Compounds 138

3.5 Ionic Compounds: Formulas and Names 142 Writing Formulas for Ionic Compounds 142 Naming Ionic Compounds 143 Naming Binary Ionic Compounds Containing a Metal That Forms Only One Type of Cation 144 Naming Binary Ionic Compounds Containing a Metal That Forms More Than One Kind of Cation 145 Naming Ionic Compounds Containing Polyatomic Ions 146 Hydrated Ionic Compounds 147

3.6 Molecular Compounds: Formulas and Names 148 Naming Molecular Compounds 148 Naming Acids 149 Naming Binary Acids 150 Naming Oxyacids 150 CHEMISTRY IN THE ENVIRONMENT Acid Rain 150

3.7 Summary of Inorganic Nomenclature 151

3.8 Formula Mass and the Mole Concept for Compounds 153 Molar Mass of a Compound 153 Using Molar Mass to Count Molecules by Weighing 153

3.9 Composition of Compounds 155

Mass Percent Composition as a Conversion Factor 156

Conversion Factors from Chemical Formulas 158

CHEMISTRY AND MEDICINE Methylmercury in Fish 160

3.10 Determining a Chemical Formula from Experimental Data 160

Determining Molecular Formulas for Compounds 162 Combustion Analysis 163

3.11 Organic Compounds 165

Hydrocarbons 166 Functionalized Hydrocarbons 167

CHAPTER IN REVIEW Self-Assessment Quiz 169 Terms 170 Concepts 170 Equations and Relationships 171 Learning Outcomes 171

EXERCISES Review Questions 171 Problems by Topic 172 Cumulative Problems 176 Challenge Problems 177 Conceptual Problems 177 Questions for Group Work 178 Data Interpretation and Analysis 178 Answers to Conceptual Connections 178

4 Chemical Reactions and

Chemical Quantities 180

4.1 Climate Change and the Combustion of Fossil Fuels 181

4.2 Writing and Balancing Chemical Equations 183

4.3 Reaction Stoichiometry: How Much Carbon Dioxide? 187

Making Pizza: The Relationships among Ingredients 187 Making Molecules: Mole-to-Mole Conversions 188 Making Molecules: Mass-to-Mass Conversions 188

4.4 Stoichiometric Relationships: Limiting Reactant, Theoretical Yield, Percent Yield, and Reactant in Excess 191

Calculating Limiting Reactant, Theoretical Yield, and Percent Yield 193 Calculating Limiting Reactant, Theoretical Yield, and Percent Yield from Initial Reactant Masses 194

4.5 Three Examples of Chemical Reactions: Combustion, Alkali Metals, and Halogens 197 Combustion Reactions 197 Alkali Metal Reactions 198 Halogen Reactions 198

CHAPTER IN REVIEW Self-Assessment Quiz 200 Terms 201 Concepts 201 Equations and Relationships 201 Learning Outcomes 201

EXERCISES Review Questions 202 Problems by Topic 202 Cumulative Problems 205 Challenge Problems 206 Conceptual Problems 206 Questions for Group Work 207 Data Interpretation and Analysis 207 Answers to Conceptual Connections 207

5 Introduction to Solutions

and Aqueous Reactions 208

5.1 Molecular Gastronomy and the Spherified Cherry 209

5.2 Solution Concentration 210

Solution Concentration 210 Using Molarity in Calculations 212 Solution Dilution 213

5.3 Solution Stoichiometry 215

5.4 Types of Aqueous Solutions and Solubility 217 Electrolyte and Nonelectrolyte Solutions 217 The Solubility of Ionic Compounds 219

5.5 Precipitation Reactions 221

5.6 Representing Aqueous Reactions: Molecular, Ionic, and Net Ionic Equations 225

5.7 Acid–Base Reactions 227 Acid–Base Reactions 227 Acid–Base Titrations 231

5.8 Gas-Evolution Reactions 233

5.9 Oxidation–Reduction Reactions 235 Oxidation States 236 Identifying Redox Reactions 238 The Activity Series: Predicting Whether a Redox Reaction Is Spontaneous 240

CHEMISTRY IN YOUR DAY Bleached Blonde 241

CHAPTER IN REVIEW Self-Assessment Quiz 243 Terms 244 Concepts 244 Equations and Relationships 245 Learning Outcomes 245

EXERCISES Review Questions 246 Problems by Topic 246

Cumulative Problems 248 Challenge Problems 249 Conceptual Problems 249 Questions for Group Work 250 Data Interpretation and Analysis 250 Answers to Conceptual Connections 251

Gases 252

6.1 Supersonic Skydiving and the Risk of Decompression 253

6.2 Pressure: The Result of Molecular Collisions 254 Pressure Units 255 The Manometer: A Way to Measure Pressure in the Laboratory 256

CHEMISTRY AND MEDICINE Blood Pressure 257

6.3 The Simple Gas Laws: Boyle’s Law, Charles’s Law, and Avogadro’s Law 257 Boyle’s Law: Volume and Pressure 258 Charles’s Law: Volume and Temperature 260

CHEMISTRY IN YOUR DAY Extra-Long Snorkels 261 Avogadro’s Law: Volume and Amount (in Moles) 263

6.4 The Ideal Gas Law 264

6.5 Applications of the Ideal Gas Law: Molar Volume, Density, and Molar Mass of a Gas 267 Molar Volume at Standard Temperature and Pressure 267 Density of a Gas 268 Molar Mass of a Gas 269

6.6 Mixtures of Gases and Partial Pressures 270 Deep-Sea Diving and Partial Pressures 273 Collecting Gases over Water 275

6.7 Gases in Chemical Reactions: Stoichiometry Revisited 277 Molar Volume and Stoichiometry 278

ANALYZING AND INTERPRETING DATA Good News about Our Nation’s Air Quality 280

6.8 Kinetic Molecular Theory: A Model for Gases 280 How Kinetic Molecular Theory Explains Pressure and the Simple Gas Laws 281 Kinetic Molecular Theory and the Ideal Gas Law 282 Temperature and Molecular Velocities 284

6.9 Mean Free Path, Diffusion, and Effusion of Gases 287

6.10 Real Gases: The Effects of Size and Intermolecular Forces 288

The Effect of the Finite Volume of Gas Particles 289 The Effect of Intermolecular Forces 290 Van der Waals Equation 291 Real Gases 291

CHAPTER IN REVIEW Self-Assessment Quiz 292 Terms 293 Concepts 293 Equations and Relationships 294 Learning Outcomes 294

EXERCISES Review Questions 295 Problems by Topic 295 Cumulative Problems 299 Challenge Problems 301 Conceptual Problems 302 Questions for Group Work 302 Data Interpretation and Analysis 302 Answers to Conceptual Connections 303

7 Thermochemistry 304

7.1 Chemical Hand Warmers 305

7.2 The Nature of Energy: Key Definitions 306 Types of Energy 306 Energy Conservation and Energy Transfer 307 Units of Energy 307

7.3 The First Law of Thermodynamics: There Is No Free Lunch 309 Internal Energy 309

CHEMISTRY IN YOUR DAY Redheffer’s Perpetual Motion Machine 309 Heat and Work 312

7.4 Quantifying Heat and Work 314

Heat 314 Temperature Changes and Heat Capacity 314 Thermal Energy Transfer 316 Work: Pressure–Volume Work 318

7.5 Measuring ∆E for Chemical Reactions: Constant-Volume Calorimetry 320

7.6 Enthalpy: The Heat Evolved in a Chemical Reaction at Constant Pressure 323 Exothermic and Endothermic Processes: A Molecular View 325 Stoichiometry Involving ∆H: Thermochemical Equations 325

7.7 Constant-Pressure Calorimetry: Measuring ∆ Hrxn 327

7.8 Relationships Involving ∆ Hrxn 328

7.9 Determining Enthalpies of Reaction from Standard Enthalpies of Formation 331 Standard States and Standard Enthalpy Changes 331 Calculating the Standard Enthalpy Change for a Reaction 333

7.10 Energy Use and the Environment 336 Energy Consumption 336 Environmental Problems Associated with Fossil Fuel Use 337 Air Pollution 337 Global Climate Change 338 CHEMISTRY IN THE ENVIRONMENT Renewable Energy 340

CHAPTER IN REVIEW Self-Assessment Quiz 341 Terms 342 Concepts 342 Equations and Relationships 343 Learning Outcomes 343

EXERCISES Review Questions 344 Problems by Topic 344 Cumulative Problems 348 Challenge Problems 349 Conceptual Problems 350 Questions for Group Work 350 Data Interpretation and Analysis 351 Answers to Conceptual Connections 351

8 The Quantum-Mechanical Model of the Atom 352

8.1 Schrödinger’s Cat 353

8.2 The Nature of Light 354

The Wave Nature of Light 355 The Electromagnetic Spectrum 357

CHEMISTRY AND MEDICINE Radiation Treatment for Cancer 359 Interference and Diffraction 359 The Particle Nature of Light 360

8.3 Atomic Spectroscopy and the Bohr Model 364

CHEMISTRY IN YOUR DAY Atomic Spectroscopy, a Bar Code for Atoms 366

8.4 The Wave Nature of Matter: The de Broglie Wavelength, the Uncertainty Principle, and Indeterminacy 367

The de Broglie Wavelength 369 The Uncertainty Principle 370 Indeterminacy and Probability Distribution Maps 371

8.5 Quantum Mechanics and the Atom 373 Solutions to the Schrödinger Equation for the Hydrogen Atom 373 Atomic Spectroscopy Explained 376

8.6 The Shapes of Atomic Orbitals 379

s Orbitals (l = 0) 379 p Orbitals (I = 1) 382

d Orbitals (I = 2) 382 f Orbitals (I = 3) 382

The Phase of Orbitals 383 The Shape of Atoms 384

CHAPTER IN REVIEW Self-Assessment Quiz 384 Terms 385 Concepts 385 Equations and Relationships 386 Learning Outcomes 386

EXERCISES Review Questions 386 Problems by Topic 387 Cumulative Problems 388 Challenge Problems 389 Conceptual Problems 390 Questions for Group Work 390 Data Interpretation and Analysis 391 Answers to Conceptual Connections 391

9 Periodic Properties of the Elements 392

9.1 Nerve Signal Transmission 393

9.2 The Development of the Periodic Table 394

9.3 Electron Configurations: How Electrons Occupy Orbitals 395

Electron Spin and the Pauli Exclusion Principle 396 Sublevel Energy Splitting in Multielectron Atoms 396 Coulomb’s Law 397 Shielding 398 Penetration 398 Electron Spatial Distributions and Sublevel Splitting 398 Electron Configurations for Multielectron Atoms 400

9.4 Electron Configurations, Valence Electrons, and the Periodic Table 403

Orbital Blocks in the Periodic Table 404 Writing an Electron Configuration for an Element from Its Position in the Periodic Table 405 The Transition and Inner Transition Elements 406

9.5 The Explanatory Power of the Quantum-Mechanical Model 407

9.6 Periodic Trends in the Size of Atoms and Effective Nuclear Charge 408 Effective Nuclear Charge 410 Atomic Radii and the Transition Elements 411

9.7 Ions: Electron Configurations, Magnetic Properties, Ionic Radii, and Ionization Energy 413

Electron Configurations and Magnetic Properties of Ions 413 Ionic Radii 415 Ionization Energy 417 Trends in First Ionization Energy 417 Exceptions to Trends in First Ionization Energy 419 Trends in Second and Successive Ionization Energies 420

9.8 Electron Affinities and Metallic Character 421 Electron Affinity 421 Metallic Character 422

9.9 Periodic Trends Summary 425

CHAPTER IN REVIEW Self-Assessment Quiz 425 Terms 426 Concepts 426 Equations and Relationships 427 Learning Outcomes 427

EXERCISES Review Questions 428 Problems by Topic 429 Cumulative Problems 430 Challenge Problems 431 Conceptual Problems 432 Questions for Group Work 432 Data Interpretation and Analysis 433 Answers to Conceptual Connections 433

10 Chemical Bonding I: The Lewis Model

434

10.1 Bonding Models and AIDS Drugs 435

10.2 Types of Chemical Bonds 436

10.3 Representing Valence Electrons with Dots 438

10.4 Ionic Bonding: Lewis Symbols and Lattice Energies 439

Ionic Bonding and Electron Transfer 439 Lattice Energy: The Rest of the Story 440 The Born–Haber Cycle 440 Trends in Lattice Energies: Ion Size 443 Trends in Lattice Energies: Ion Charge 443 Ionic Bonding: Models and Reality 444

CHEMISTRY AND MEDICINE Ionic Compounds in Medicine 445

10.5 Covalent Bonding: Lewis Structures 446

Single Covalent Bonds 446 Double and Triple Covalent Bonds 446 Covalent Bonding: Models and Reality 447

10.6 Electronegativity and Bond Polarity 448

Electronegativity 449 Bond Polarity, Dipole Moment, and Percent Ionic Character 450

10.7 Lewis Structures of Molecular Compounds and Polyatomic Ions 452

Writing Lewis Structures for Molecular Compounds 452

Writing Lewis Structures for Polyatomic Ions 454

10.8 Resonance and Formal Charge 454

Resonance 454 Formal Charge 456

10.9 Exceptions to the Octet Rule: Odd-Electron Species, Incomplete Octets, and Expanded Octets 459

Odd-Electron Species 460 Incomplete Octets 460

CHEMISTRY IN THE ENVIRONMENT Free Radicals and the Atmospheric Vacuum Cleaner 461

Expanded Octets 462

10.10 Bond Energies and Bond Lengths 464

Bond Energy 464 Using Average Bond Energies to Estimate Enthalpy Changes for Reactions 465 Bond Lengths 466

10.11 Bonding in Metals: The Electron Sea Model 467

CHEMISTRY IN THE ENVIRONMENT The Lewis Structure of Ozone 468

CHAPTER IN REVIEW Self-Assessment Quiz 469 Terms 470 Concepts 470 Equations and Relationships 471 Learning Outcomes 471

EXERCISES Review Questions 472 Problems by Topic 472 Cumulative Problems 474 Challenge Problems 476 Conceptual Problems 476 Questions for Group Work 476 Data Interpretation and Analysis 477 Answers to Conceptual Connections 477

11 Chemical Bonding II: Molecular Shapes, Valence Bond Theory, and Molecular Orbital Theory 478

11.1 Morphine: A Molecular Imposter 479

11.2 VSEPR Theory: The Five Basic Shapes 480

Two Electron Groups: Linear Geometry 481

Three Electron Groups: Trigonal Planar Geometry 481

Four Electron Groups: Tetrahedral Geometry 481

Five Electron Groups: Trigonal Bipyramidal Geometry 483

Six Electron Groups: Octahedral Geometry 483

11.3 VSEPR Theory: The Effect of Lone Pairs 484

Four Electron Groups with Lone Pairs 484 Five Electron Groups with Lone Pairs 486 Six Electron Groups with Lone Pairs 487

11.4 VSEPR Theory: Predicting Molecular Geometries 489

Representing Molecular Geometries on Paper 491 Predicting the Shapes of Larger Molecules 491

11.5 Molecular Shape and Polarity 492 Vector Addition 494

CHEMISTRY IN YOUR DAY How Soap Works 496

11.6 Valence Bond Theory: Orbital Overlap as a Chemical Bond 497

11.7 Valence Bond Theory: Hybridization of Atomic Orbitals 499 sp3 Hybridization 500 sp2 Hybridization and Double Bonds 502

CHEMISTRY IN YOUR DAY The Chemistry of Vision 506 sp Hybridization and Triple Bonds 506 sp3d and sp3d 2 Hybridization 508 Writing Hybridization and Bonding Schemes 509

11.8 Molecular Orbital Theory: Electron Delocalization 512 Linear Combination of Atomic Orbitals (LCAOs) 513 Period Two Homonuclear Diatomic Molecules 517 Second-Period Heteronuclear Diatomic Molecules 522 Polyatomic Molecules 524

CHAPTER IN REVIEW Self-Assessment Quiz 525 Terms 526 Concepts 526 Equations and Relationships 526 Learning Outcomes 527

EXERCISES Review Questions 527 Problems by Topic 528 Cumulative Problems 530 Challenge Problems 532 Conceptual Problems 533 Questions for Group Work 533 Data Interpretation and Analysis 534 Answers to Conceptual Connections 534

12 Liquids, Solids, and Intermolecular Forces 536

12.1 Water, No Gravity 537

12.2 Solids, Liquids, and Gases: A Molecular Comparison 538

Differences between States of Matter 538

Changes between States 540

12.3 Intermolecular Forces: The Forces That Hold Condensed States Together 541

Dispersion Force 542 Dipole–Dipole Force 544

Hydrogen Bonding 547 Ion–Dipole Force 549

CHEMISTRY AND MEDICINE Hydrogen Bonding in DNA 550

12.4 Intermolecular Forces in Action: Surface Tension, Viscosity, and Capillary Action 551

Surface Tension 551 Viscosity 553

CHEMISTRY IN YOUR DAY Viscosity and Motor Oil 553 Capillary Action 553

12.5 Vaporization and Vapor Pressure 554

The Process of Vaporization 554 The Energetics of Vaporization 556 Vapor Pressure and Dynamic Equilibrium 557 Temperature Dependence of Vapor Pressure and Boiling Point 559 The Clausius–Clapeyron Equation 560 The Critical Point: The Transition to an Unusual State of Matter 563

12.6 Sublimation and Fusion 564

Sublimation 564 Fusion 565 Energetics of Melting and Freezing 565

12.7 Heating Curve for Water 566

12.8 Phase Diagrams 569

The Major Features of a Phase Diagram 569 Navigation within a Phase Diagram 570 The Phase Diagrams of Other Substances 571

12.9 Water: An Extraordinary Substance 571

CHEMISTRY IN THE ENVIRONMENT Water Pollution 573

CHAPTER IN REVIEW Self-Assessment Quiz 573 Terms 574 Concepts 574 Equations and Relationships 575 Learning Outcomes 575

EXERCISES Review Questions 576 Problems by Topic 576 Cumulative Problems 579 Challenge Problems 579 Conceptual Problems 580 Questions for Group Work 580 Data Interpretation and Analysis 581 Answers to Conceptual Connections 581

Solids and Modern Materials

582

13.1 Friday Night Experiments: The Discovery of Graphene 583

13.2 X-Ray Crystallography 584

13.3 Unit Cells and Basic Structures 587

Cubic Unit Cells 587 Closest-Packed Structures 593

13.4 The Fundamental Types of Crystalline Solids 594

Molecular Solids 595

CHEMISTRY IN YOUR DAY Chocolate, An Edible Material 596

Ionic Solids 597 Atomic Solids 597

13.5 The Structures of Ionic Solids 598

13.6 Network Covalent Atomic Solids: Carbon and Silicates 600

Carbon 600 Silicates 603

13.7 Ceramics, Cement, and Glass 603

Ceramics 603 Cement 604 Glass 605

13.8 Semiconductors and Band Theory 605

Molecular Orbitals and Energy Bands 605 Doping: Controlling the Conductivity of Semiconductors 607

13.9 Polymers and Plastics 607

CHEMISTRY IN YOUR DAY Kevlar 610

CHAPTER IN REVIEW Self-Assessment Quiz 611 Terms 612 Concepts 612 Equations and Relationships 613 Learning Outcomes 613

EXERCISES Review Questions 613 Problems by Topic 614 Cumulative Problems 617 Challenge Problems 618 Conceptual Problems 618 Questions for Group Work 618 Data Interpretation and Analysis 619 Answers to Conceptual Connections 619

14 Solutions 620

14.1 Thirsty Solutions: Why You Shouldn’t Drink Seawater 621

14.2 Types of Solutions and Solubility 623

Nature’s Tendency toward Mixing: Entropy 624 The Effect of Intermolecular Forces 624

14.3 Energetics of Solution Formation 628

Energy Changes in Solution Formation 628 Aqueous Solutions and Heats of Hydration 630

14.4 Solution Equilibrium and Factors Affecting Solubility 631

The Temperature Dependence of the Solubility of Solids 633 Factors Affecting the Solubility of Gases in Water 633

14.5 Expressing Solution Concentration 636

CHEMISTRY IN THE ENVIRONMENT Lake Nyos 636 Molarity 637 Molality 638 Parts by Mass and Parts by Volume 638 Using Parts by Mass (or Parts by Volume) in Calculations 639 Mole Fraction and Mole Percent 640

CHEMISTRY IN THE ENVIRONMENT The Dirty Dozen 640

14.6 Colligative Properties: Vapor Pressure

Lowering, Freezing Point Depression, Boiling Point Elevation, and Osmotic Pressure 643

Vapor Pressure Lowering 644 Vapor Pressures of Solutions Containing a Volatile (Nonelectrolyte) Solute 647 Freezing Point Depression and Boiling Point Elevation 650

CHEMISTRY IN YOUR DAY Antifreeze in Frogs 653

Osmotic Pressure 653

14.7 Colligative Properties of Strong Electrolyte

Solutions 655 Strong Electrolytes and Vapor Pressure 656

Colligative Properties and Medical Solutions 657

14.8 Colloids 658

CHAPTER IN REVIEW Self-Assessment Quiz 661 Terms 662 Concepts 662 Equations and Relationships 663 Learning Outcomes 663

EXERCISES Review Questions 664 Problems by Topic 665 Cumulative Problems 668 Challenge Problems 669 Conceptual Problems 670 Questions for Group Work 670 Data Interpretation and Analysis 671 Answers to Conceptual Connections 671

15 Chemical Kinetics 672

15.1 Catching Lizards 673

15.2 The Rate of a Chemical Reaction 674 Definition of Reaction Rate 674 Measuring Reaction Rates 678

15.3 The Rate Law: The Effect of Concentration on Reaction Rate 679

The Three Common Reaction Orders (n = 0, 1, and 2) 679

Determining the Order of a Reaction 680 Reaction Order for Multiple Reactants 682

15.4 The Integrated Rate Law: The Dependence of Concentration on Time 684

The Integrated Rate Law 684 The Half-Life of a Reaction 688

15.5 The Effect of Temperature on Reaction Rate 692

The Arrhenius Equation 692 The Activation Energy, Frequency Factor, and Exponential Factor 693 Arrhenius Plots: Experimental Measurements of the Frequency Factor and the Activation Energy 694 The Collision Model: A Closer Look at the Frequency Factor 697

15.6 Reaction Mechanisms 698 Rate Laws for Elementary Steps 699 Rate-Determining Steps and Overall Reaction Rate Laws 700 Mechanisms with a Fast Initial Step 701

15.7 Catalysis 703

Homogeneous and Heterogeneous Catalysis 705 Enzymes: Biological Catalysts 706

CHEMISTRY AND MEDICINE Enzyme Catalysis and the Role of Chymotrypsin in Digestion 708

CHAPTER IN REVIEW Self-Assessment Quiz 709 Terms 711 Concepts 711 Equations and Relationships 712 Learning Outcomes 712

EXERCISES Review Questions 712 Problems by Topic 713

Cumulative Problems 718 Challenge Problems 720 Conceptual Problems 721 Questions for Group Work 722 Data Interpretation and Analysis 722 Answers to Conceptual Connections 723

16 Chemical Equilibrium

724

16.1 Fetal Hemoglobin and Equilibrium 725

16.2 The Concept of Dynamic Equilibrium 727

16.3 The Equilibrium Constant (K) 730

Expressing Equilibrium Constants for Chemical Reactions 730

The Significance of the Equilibrium Constant 731

CHEMISTRY AND MEDICINE Life and Equilibrium 732 Relationships between the Equilibrium Constant and the Chemical Equation 733

16.4 Expressing the Equilibrium Constant in Terms of Pressure 734

Relationship Between Kp and Kc 735 Units of K 736

16.5 Heterogeneous Equilibria: Reactions Involving Solids and Liquids 737

16.6 Calculating the Equilibrium Constant from Measured Equilibrium Concentrations 738

16.7 The Reaction Quotient: Predicting the Direction of Change 741

16.8 Finding Equilibrium Concentrations 743

Finding Equilibrium Concentrations from the Equilibrium Constant and All but One of the Equilibrium Concentrations of the Reactants and Products 744 Finding Equilibrium Concentrations from the Equilibrium Constant and Initial Concentrations or Pressures 745 Simplifying Approximations in Working Equilibrium Problems 749

16.9 Le Châtelier’s Principle: How a System at Equilibrium Responds to Disturbances 753

The Effect of a Concentration Change on Equilibrium 754 The Effect of a Volume (or Pressure) Change on Equilibrium 756 The Effect of a Temperature Change on Equilibrium 758

CHAPTER IN REVIEW Self-Assessment Quiz 760 Terms 761 Concepts 761 Equations and Relationships 762 Learning Outcomes 762

EXERCISES Review Questions 763 Problems by Topic 764

Cumulative Problems 767 Challenge Problems 769 Conceptual Problems 769 Questions for Group Work 770 Data Interpretation and Analysis 770 Answers to Conceptual Connections 771

17 Acids and Bases 772

17.1 Heartburn 773

17.2 The Nature of Acids and Bases 774

17.3 Definitions of Acids and Bases 776 The Arrhenius Definition 776 The Brønsted–Lowry Definition 777

17.4 Acid Strength and the Acid Ionization Constant (Ka) 779

Strong Acids 779 Weak Acids 780 The Acid Ionization Constant (Ka) 781

17.5 Autoionization of Water and pH 782

The pH Scale: A Way to Quantify Acidity and Basicity 784 pOH and Other p Scales 785

CHEMISTRY AND MEDICINE Ulcers 786

17.6 Finding the [H3O + ] and pH of Strong and Weak Acid Solutions 787

Strong Acids 787 Weak Acids 787 Percent Ionization of a Weak Acid 792 Mixtures of Acids 793

17.7 Base Solutions 796

Strong Bases 796 Weak Bases 796

Finding the [OH - ] and pH of Basic Solutions 798

CHEMISTRY AND MEDICINE What’s in My Antacid? 800

17.8 The Acid–Base Properties of Ions and Salts 800 Anions as Weak Bases 801 Cations as Weak Acids 804

Classifying Salt Solutions as Acidic, Basic, or Neutral 805

17.9 Polyprotic Acids 807

Finding the pH of Polyprotic Acid Solutions 808 Finding the Concentration of the Anions for a Weak Diprotic Acid Solution 810

17.10 Acid Strength and Molecular Structure 812 Binary Acids 812 Oxyacids 813

17.11 Lewis Acids and Bases 814

Molecules That Act as Lewis Acids 814 Cations That Act as Lewis Acids 815

17.12 Acid Rain 815

Effects of Acid Rain 816 Acid Rain Legislation 817

CHAPTER IN REVIEW Self-Assessment Quiz 817 Terms 818 Concepts 818 Equations and Relationships 819 Learning Outcomes 820

EXERCISES Review Questions 820 Problems by Topic 821

Cumulative Problems 824 Challenge Problems 826 Conceptual Problems 826 Questions for Group Work 826 Data Interpretation and Analysis 826 Answers to Conceptual Connections 827

18 Aqueous Ionic Equilibrium 828

18.1 The Danger of Antifreeze 829

18.2 Buffers: Solutions That Resist pH Change 830

Calculating the pH of a Buffer Solution 832 The Henderson–Hasselbalch Equation 833 Calculating pH Changes in a Buffer Solution 836 The Stoichiometry

Calculation 836 The Equilibrium Calculation 836

Buffers Containing a Base and Its Conjugate Acid 840

18.3 Buffer Effectiveness: Buffer Range and Buffer Capacity 841

Relative Amounts of Acid and Base 841 Absolute Concentrations of the Acid and Conjugate Base 842

Buffer Range 843

CHEMISTRY AND MEDICINE Buffer Effectiveness in Human Blood 844

Buffer Capacity 844

18.4 Titrations and pH Curves 845

The Titration of a Strong Acid with a Strong Base 846

The Titration of a Weak Acid with a Strong Base 850

The Titration of a Weak Base with a Strong Acid 855

The Titration of a Polyprotic Acid 856

Indicators: pH-Dependent Colors 856

18.5 Solubility Equilibria and the Solubility

Product Constant 859

Ksp and Molar Solubility 859

CHEMISTRY IN YOUR DAY Hard Water 861

Ksp and Relative Solubility 862 The Effect of a Common Ion on Solubility 862 The Effect of pH on Solubility 864

18.6 Precipitation 865

Selective Precipitation 866

18.7 Qualitative Chemical Analysis 868

Group 1: Insoluble Chlorides 869 Group 2: AcidInsoluble Sulfides 869 Group 3: Base-Insoluble Sulfides and Hydroxides 870 Group 4: Insoluble

Phosphates 870 Group 5: Alkali Metals and NH4 + 870

18.8 Complex Ion Equilibria 871

The Effect of Complex Ion Equilibria on Solubility 873

The Solubility of Amphoteric Metal Hydroxides 874

CHAPTER IN REVIEW Self-Assessment Quiz 875 Terms 876 Concepts 876 Equations and Relationships 877 Learning Outcomes 877

EXERCISES Review Questions 878 Problems by Topic 879

Cumulative Problems 884 Challenge Problems 885 Conceptual Problems 885 Questions for Group Work 886

Data Interpretation and Analysis 886 Answers to Conceptual Connections 887

19 Free Energy and Thermodynamics 888

19.1 Cold Coffee and Dead Universes 889

19.2 Spontaneous and Nonspontaneous Processes 890

19.3 Entropy and the Second Law of Thermodynamics 892

Entropy 894 The Entropy Change upon the Expansion of an Ideal Gas 896

19.4 Entropy Changes Associated with State Changes 898

Entropy and State Change: The Concept 899 Entropy and State Changes: The Calculation 900

19.5 Heat Transfer and Changes in the Entropy of the Surroundings 902

The Temperature Dependence of ∆ Ssurr 903

Quantifying Entropy Changes in the Surroundings 903

19.6 Gibbs Free Energy 905

The Effect of ∆H, ∆S, and T on Spontaneity 906

19.7 Entropy Changes in Chemical Reactions:

Calculating ∆ S° rxn 909

Defining Standard States and Standard Entropy Changes 909 Standard Molar Entropies (S°) and the Third Law of Thermodynamics 909 Calculating the Standard Entropy Change ( ∆ S° rxn) for a Reaction 913

19.8 Free Energy Changes in Chemical Reactions:

Calculating ∆ G° rxn 913

Calculating Standard Free Energy Changes with ∆ G° rxn = ∆ H° rxn - T ∆ S° rxn 914

Calculating ∆ G° rxn with Tabulated Values of Free Energies of Formation 915

CHEMISTRY IN YOUR DAY Making a Nonspontaneous Process Spontaneous 917

Calculating ∆ G° rxn for a Stepwise Reaction from the Changes in Free Energy for Each of the Steps 917 Why Free Energy Is “Free” 918

19.9 Free Energy Changes for Nonstandard States:

The Relationship between ∆ G° rxn and ∆ Grxn 920

Standard versus Nonstandard States 920 The Free Energy Change of a Reaction under Nonstandard Conditions 920 Standard Conditions 920 Equilibrium Conditions 921 Other Nonstandard Conditions 922

19.10 Free Energy and Equilibrium: Relating ∆ G° rxn to the Equilibrium Constant (K) 923

The Relationship between ∆ G° rxn and K 923 The Temperature Dependence of the Equilibrium Constant 925

CHAPTER IN REVIEW Self-Assessment Quiz 926 Terms 927

Concepts 927 Equations and Relationships 928

Learning Outcomes 928

EXERCISES Review Questions 929 Problems by Topic 930

Cumulative Problems 933 Challenge Problems 934 Conceptual Problems 935 Questions for Group Work 935 Data

Interpretation and Analysis 936 Answers to Conceptual Connections 936

20 Electrochemistry 938

20.1 Lightning and Batteries 939

20.2 Balancing Oxidation–Reduction Equations 940

20.3 Voltaic (or Galvanic) Cells: Generating Electricity from Spontaneous Chemical Reactions 943

The Voltaic Cell 944 Current and Potential Difference 945 Anode, Cathode, and Salt Bridge 946 Electrochemical Cell Notation 947

20.4 Standard Electrode Potentials 947

Predicting the Spontaneous Direction of an Oxidation–Reduction Reaction 952 Predicting Whether a Metal Will Dissolve in Acid 955

20.5 Cell Potential, Free Energy, and the Equilibrium Constant 955

The Relationship between ∆G° and E ° cell 956

The Relationship between E ° cell and K 958

20.6 Cell Potential and Concentration 959

Cell Potential under Nonstandard Conditions: The Nernst Equation 959 Concentration Cells 962

CHEMISTRY AND MEDICINE Concentration Cells in Human Nerve Cells 964

20.7 Batteries: Using Chemistry to Generate Electricity 964

Dry-Cell Batteries 964 Lead–Acid Storage Batteries 965 Other Rechargeable Batteries 966 Fuel Cells 967

CHEMISTRY IN YOUR DAY The Fuel-Cell Breathalyzer 968

20.8 Electrolysis: Driving Nonspontaneous Chemical Reactions with Electricity 968

Predicting the Products of Electrolysis 971 Stoichiometry of Electrolysis 974

20.9 Corrosion: Undesirable Redox Reactions 975 Corrosion of Iron 976 Preventing the Corrosion of Iron 977

CHAPTER IN REVIEW Self-Assessment Quiz 978 Terms 979 Concepts 979 Equations and Relationships 980 Learning Outcomes 980

EXERCISES Review Questions 981 Problems by Topic 981 Cumulative Problems 985 Challenge Problems 986 Conceptual Problems 986 Questions for Group Work 986 Data

Interpretation and Analysis 987 Answers to Conceptual Connections 987

21 Radioactivity and Nuclear Chemistry 988

21.1 Diagnosing Appendicitis 989

21.2 The Discovery of Radioactivity 990

21.3 Types of Radioactivity 991

Alpha (a) Decay 992 Beta (b) Decay 993 Gamma (g) Ray Emission 994 Positron Emission 994 Electron Capture 995

21.4 The Valley of Stability: Predicting the Type of Radioactivity 996

Magic Numbers 998 Radioactive Decay Series 998

21.5 Detecting Radioactivity 999

21.6 The Kinetics of Radioactive Decay and Radiometric Dating 1000

The Integrated Rate Law 1002 Radiocarbon Dating: Using Radioactivity to Measure the Age of Fossils and Artifacts 1003

CHEMISTRY IN YOUR DAY Radiocarbon Dating and the Shroud of Turin 1005

Uranium/Lead Dating 1005 The Age of Earth 1006

21.7 The Discovery of Fission: The Atomic Bomb and Nuclear Power 1007

The Manhattan Project 1007 Nuclear Power: Using Fission to Generate Electricity 1009 Problems with Nuclear Power 1010

21.8 Converting Mass to Energy: Mass Defect and Nuclear Binding Energy 1011

Mass Defect and Nuclear Binding Energy 1011 The Nuclear Binding Energy Curve 1013

21.9 Nuclear Fusion: The Power of the Sun 1013

21.10 Nuclear Transmutation and Transuranium Elements 1014

21.11 The Effects of Radiation on Life 1016

Acute Radiation Damage 1016 Increased Cancer Risk 1016

Genetic Defects 1016 Measuring Radiation Exposure and Dose 1017

21.12 Radioactivity in Medicine and Other Applications 1018

Diagnosis in Medicine 1019 Radiotherapy in Medicine 1020 Other Applications 1020

CHAPTER IN REVIEW Self-Assessment Quiz 1021 Terms 1022 Concepts 1022 Equations and Relationships 1023

Learning Outcomes 1023

EXERCISES Review Questions 1024 Problems by Topic 1024

Cumulative Problems 1026 Challenge Problems 1027 Conceptual Problems 1028 Questions for Group Work 1028 Data Interpretation and Analysis 1029 Answers to Conceptual Connections 1029

Appendix I Common Mathematical Operations in Chemistry A-1

Appendix II Useful Data A-5

Appendix III Answers to Selected Exercises A-15

Appendix IV Answers to In-Chapter Practice Problems A-45

Glossary G-1

Photo and Text Credits C-1

Index I-1

Preface

To the Student

As you begin this course, I invite you to think about your reasons for enrolling in it. Why are you taking general chemistry? More generally, why are you pursuing a college education? If you are like most college students taking general chemistry, part of your answer is probably that this course is required for your major and that you are pursuing a college education so you can get a good job some day. Although these are good reasons, I would like to suggest a better one. I think the primary reason for your education is to prepare you to live a good life You should understand chemistry—not for what it can get you—but for what it can do to you. Understanding chemistry, I believe, is an important source of happiness and fulfillment. Let me explain.

Understanding chemistry helps you to live life to its fullest for two basic reasons. The first is intrinsic: through an understanding of chemistry, you gain a powerful appreciation for just how rich and extraordinary the world really is. The second reason is extrinsic: understanding chemistry makes you a more informed citizen—it allows you to engage with many of the issues of our day. In other words, understanding chemistry makes you a deeper and richer person and makes your country and the world a better place to live. These reasons have been the foundation of education from the very beginnings of civilization.

How does chemistry help prepare you for a rich life and conscientious citizenship? Let me explain with two examples. My first one comes from the very first page of Chapter 1 of this book. There, I ask the following question: What is the most important idea in all of scientific knowledge? My answer to that question is this: the behavior of matter is determined by the properties of molecules and atoms. That simple statement is the reason I love chemistry. We humans have been able to study the substances that compose the world around us and explain their behavior by reference to particles so small that they can hardly be imagined. If you have never realized the remarkable dependence of the world we can see on the world we cannot, you have missed out on a fundamental truth about our universe. To have never encountered this truth is like never having read a play by Shakespeare or seen a sculpture by Michelangelo—or, for that matter, like never having discovered that the world is round. It robs you of an amazing and unforgettable experience of the world and the human ability to understand it.

My second example demonstrates how science literacy helps you to be a better citizen. Although I am largely sympathetic to the environmental movement, a lack of science literacy within some sectors of that movement and the resulting

anti-environmental backlash create confusion that impedes real progress and opens the door to what could be misinformed policies. For example, I have heard conservative pundits say that volcanoes emit more carbon dioxide—the most significant greenhouse gas—than does petroleum combustion. I have also heard a liberal environmentalist say that we have to stop using hair spray because it is causing holes in the ozone layer that will lead to global warming. Well, the claim about volcanoes emitting more carbon dioxide than petroleum combustion can be refuted by the basic tools you will learn to use in Chapter 4 of this book. We can easily show that volcanoes emit only 1/50th as much carbon dioxide as petroleum combustion. As for hair spray depleting the ozone layer and thereby leading to global warming, the chlorofluorocarbons that deplete ozone have been banned from hair spray since 1978, and ozone depletion has nothing to do with global warming anyway. People with special interests or axes to grind can conveniently distort the truth before an ill-informed public, which is why we all need to be knowledgeable.

So this is why I think you should take this course. Not just to satisfy the requirement for your major and not just to get a good job some day, but to help you to lead a fuller life and to make the world a little better for everyone. I wish you the best as you embark on the journey to understanding the world around you at the molecular level. The rewards are well worth the effort.

To the Professor

First and foremost, thanks to all of you who adopted this book in its previous editions. You helped to make this book one of the most popular general chemistry textbooks in the world. I am grateful beyond words. Second, I have listened carefully to your feedback on the previous edition. The changes you see in this edition are the direct result of your input, as well as my own experience using the book in my general chemistry courses. If you have reviewed content or have contacted me directly, you will likely see your suggestions reflected in the changes I have made. Thank you.

Higher education in science is changing. Foremost among those changes is a shift toward active learning. A flood of recent studies has demonstrated that General Chemistry students learn better when they are active in the learning process. However, implementing active learning can be a difficult and time-consuming process. One of my main goals in this revision is to give you, the professor, a range of tools to easily implement active learning in your class. My goal is

simple: I want to make it easy for you to engage your students in active learning before class, during class, and after class.

■ BEFORE CLASS Although the term active learning has been applied mainly to in-class learning, the main idea—that we learn better when we are actively engaged applies to all of learning. I have developed two main tools to help students prepare for class in an active way. The first tool is a complete library of 3– to 6–minute Key Concept Videos (KCVs) that, with this edition, span virtually all of the key concepts in a general chemistry course. The videos introduce a key concept and encourage active learning because they stop in the middle and pose a quest ion that must be answered before the video continues playing. Each video also has an associated follow-up question that can be assigned using Mastering Chemistry. You can assign a video before each one of your c lasses to get your students thinking about the concepts for that day. A second tool for use before class is active reading. Each chapter in the book now contains 10–12 Conceptual Connection questions. These questions are assignable in Mastering Chemistry, and contain wrong answer feedback. Instead of passively reading the assigned material with no accountability, you can now encourage your students to engage in active reading, in which they read a bit and then answer a question that probes their comprehension and gives them immediate feedback.

■ DURING CLASS By delivering some content through key concept videos and active reading before class, you can make room in your lecture to pose questions to your students that make the class experience active as well. This book features two main tools for in-class use. The first tool is Learning Catalytics, which allows you to pose many different types of questions to your students during class. Instead of passively listening to your lecture, students interact with the concepts you present through questions you pose. Your students can answer the questions individually, or you can pair them with a partner or small group. A second tool for in-class use is the Questions for Group Work. These questions appear in the endof-chapter material and are specifically designed to be answered in small groups.

■ AFTER CLASS Active learning can continue after class wit h two additional tools. The first is another library of 3– to 6–minute videos called Interactive Worked Examples (IWEs). Each IWE video walks a student through the solution to a chemistry problem. Like the KCVs, the IWE video stops in the middle and poses a question that must be answered before the video continues playing. Each video also has an associated follow-up problem that can be assigned using Mastering Chemistry. The second tool for after (or outside of) class active learning is Active Exam Preparation. Research studies suggest that students who take a pretest before an exam do better on the exam, especially if the pretest contains immediate feedback. Each chapter in t his book contains a Self-Assessment Quiz that

you can use to easily make a pretest for any of your exams. The Self-Assessment Quizzes are assignable in Master ing Chemistry, and contain wrong answer feedback. Simply choose the questions that you want from each of the quizzes that span the chapters on your exam, and you can create an assignable pretest that students can use to actively prepare for your exams.

Although we have added many active learning tools to this edition and made other changes as well, the book’s goal remains the same: to present a rigorous and accessible treatment of general chemistry in the context of relevance. Teaching general chemistry would be much easier if all of our students had exactly the same level of preparation and ability. But alas, that is not the case. My own courses are populated with students with a range of backgrounds and abilities in chemistry. The challenge of successful teaching, in my opinion, is figuring out how to instruct and challenge the best students while not losing those with lesser backgrounds and abilities. My strategy has always been to set the bar relatively high, while at the same time providing the motivation and support necessary to reach the high bar. That is exactly the philosophy of this book. We do not have to compromise rigor in order to make chemistry accessible to our students. In this book, I have worked hard to combine rigor with accessibility—to create a book that does not dilute the content and yet can be used and understood by any student willing to put in the necessary effort.

Principles of Chemistry: A Molecular Approach is first and foremost a student-oriented book. My main goal is to motivate students and get them to achieve at the highest possible level. As we all know, many students take general chemistry because it is a requirement; they do not see the connection between chemistry and their lives or their intended careers. Principles of Chemistry: A Molecular Approach strives to make those connections consistently and effectively. Unlike other books, which often teach chemistry as something that happens only in the laboratory or in industry, this book teaches chemistry in the context of relevance. It shows students why chemistry is important to them, to their future careers, and to their world.

Second, Principles of Chemistry: A Molecular Approach is a pedagogically driven book. In seeking to develop problem-solving skills, a consistent approach (Sort, Strategize, Solve, and Check) is applied, usually in a two- or three-column format. In the two-column format, the left column shows the student how to analyze the problem and devise a solution strategy. It also lists the steps of the solution, explaining the rationale for each one, while the right column shows the implementation of each step. In the three-column format, the left column outlines the general procedure for solving an important category of problems that is then applied to two side-by-side examples. This strategy allows students to see both the general pattern and the slightly different ways in which the procedure may be applied in differing contexts. The aim is to help students understand both the concept of the problem (through the formulation of an explicit conceptual plan for each problem) and the solution to the problem.

Third, Principles of Chemistry: A Molecular Approach is a visual book. Wherever possible, I use images

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