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Main groups Main groups 1Aa 8A 1 18 1 2 1 H 2A Metals Metalloids Nonmetals 3A 4A 5A 6A 7A He 1.008 2 13 14 15 16 17 4.003 3 4 5 6 7 8 9 10 2 Li Be B C N O F Ne 6.94 9.012 Transition metals 10.81 12.01 14.01 16.00 19.00 20.18 11 12 13 14 15 16 17 18 3 Na Mg 3B 4B 5B 6B 7B 8B 1B 2B Al Si P S Cl Ar 22.99 24.31 3 4 5 6 7 8 9 10 11 12 26.98 28.09 30.97 32.06 35.45 39.95 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 4 K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr 39.10 40.08 44.96 47.87 50.94 52.00 54.94 55.85 58.93 58.69 63.55 65.38 69.72 72.63 74.92 78.97 79.90 83.80 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 5 Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te I Xe 85.47 87.62 88.91 91.22 92.91 95.95 [98] 101.07 102.91 106.42 107.87 112.41 114.82 118.71 121.76 127.60 126.90 131.29 55 56 57 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 6 Cs Ba La Hf Ta W Re Os Ir Pt Au Hg Tl Pb Bi Po At Rn 132.91 137.33 138.91 178.49 180.95 183.84 186.21 190.23 192.22 195.08 196.97 200.59 204.38 207.2 208.98 [208.98] [209.99] [222.02] 87 88 89 104 105 106 107 108 109 110 111 112 113 114 115 116 117* 118 7 Fr Ra Ac Rf Db Sg Bh Hs Mt Ds Rg Cn Fl Lv [223.02] [226.03] [227.03] [261.11] [262.11] [266.12] [264.12] [269.13] [268.14] [271] [272] [285] [289] [292] 58 59 60 61 62 63 64 65 66 67 68 69 70 71 Lanthanide series Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu 140.12 140.91 144.24 [145] 150.36 151.96 157.25 158.93 162.50 164.93 167.26 168.93 173.05 174.97 90 91 92 93 94 95 96 97 98 99 100 101 102 103 Actinide series Th Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr 232.04 231.04 238.03 [237.05] [244.06] [243.06] [247.07] [247.07] [251.08] [252.08] [257.10] [258.10] [259.10] [262.11] aThe 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. *Element 117 is currently under review by IUPAC. List of Elements with Their Symbols and Atomic Masses Atomic Atomic Element Symbol Number Atomic Mass Element Symbol Number Atomic Mass Actinium Ac 89 227.03a Meitnerium Mt 109 268.14a Aluminum Al 13 26.98 Mendelevium Md 101 258.10a Americium Am 95 243.06a Mercury Hg 80 200.59 Antimony Sb 51 121.76 Molybdenum Mo 42 95.95 Argon Ar 18 39.95 Neodymium Nd 60 144.24 Arsenic As 33 74.92 Neon Ne 10 20.18 Astatine At 85 209.99a Neptunium Np 93 237.05a Barium Ba 56 137.33 Nickel Ni 28 58.69 Berkelium Bk 97 247.07a Niobium Nb 41 92.91 Beryllium Be 4 9.012 Nitrogen N 7 14.01 Bismuth Bi 83 208.98 Nobelium No 102 259.10a Bohrium Bh 107 264.12a Osmium Os 76 190.23 Boron B 5 10.81 Oxygen O 8 16.00 Bromine Br 35 79.90 Palladium Pd 46 106.42 Cadmium Cd 48 112.41 Phosphorus P 15 30.97 Calcium Ca 20 40.08 Platinum Pt 78 195.08 Californium Cf 98 251.08a Plutonium Pu 94 244.06a Carbon C 6 12.01 Polonium Po 84 208.98a Cerium Ce 58 140.12 Potassium K 19 39.10 Cesium Cs 55 132.91 Praseodymium Pr 59 140.91 Chlorine Cl 17 35.45 Promethium Pm 61 145a Chromium Cr 24 52.00 Protactinium Pa 91 231.04 Cobalt Co 27 58.93 Radium Ra 88 226.03a Copernicium Cn 112 285a Radon Rn 86 222.02a Copper Cu 29 63.55 Rhenium Re 75 186.21 Curium Cm 96 247.07a Rhodium Rh 45 102.91 Darmstadtium Ds 110 271a Roentgenium Rg 111 272a Dubnium Db 105 262.11a Rubidium Rb 37 85.47 Dysprosium Dy 66 162.50 Ruthenium Ru 44 101.07 Einsteinium Es 99 252.08a Rutherfordium Rf 104 261.11a Erbium Er 68 167.26 Samarium Sm 62 150.36 Europium Eu 63 151.96 Scandium Sc 21 44.96 Fermium Fm 100 257.10a Seaborgium Sg 106 266.12a Flerovium Fl 114 289a Selenium Se 34 78.97 Fluorine F 9 19.00 Silicon Si 14 28.09 Francium Fr 87 223.02a Silver Ag 47 107.87 Gadolinium Gd 64 157.25 Sodium Na 11 22.99 Gallium Ga 31 69.72 Strontium Sr 38 87.62 Germanium Ge 32 72.63 Sulfur S 16 32.06 Gold Au 79 196.97 Tantalum Ta 73 180.95 Hafnium Hf 72 178.49 Technetium Tc 43 98a Hassium Hs 108 269.13a Tellurium Te 52 127.60 Helium He 2 4.003 Terbium Tb 65 158.93 Holmium Ho 67 164.93 Thallium Tl 81 204.38 Hydrogen H 1 1.008 Thorium Th 90 232.04 Indium In 49 114.82 Thulium Tm 69 168.93 Iodine I 53 126.90 Tin Sn 50 118.71 Iridium Ir 77 192.22 Titanium Ti 22 47.87 Iron Fe 26 55.85 Tungsten W 74 183.84 Krypton Kr 36 83.80 Uranium U 92 238.03 Lanthanum La 57 138.91 Vanadium V 23 50.94 Lawrencium Lr 103 262.11a Xenon Xe 54 131.293 Lead Pb 82 207.2 Ytterbium Yb 70 173.05 Lithium Li 3 6.94 Yttrium Y 39 88.91 Livermorium Lv 116 292a Zinc Zn 30 65.38 Lutetium Lu 71 174.97 Zirconium Zr 40 91.22 Magnesium Mg 12 24.31 *b 113 284a Manganese Mn 25 54.94 *b 115 288a a Mass of longest-lived or most important isotope. b The names of these elements have not yet been decided. Principles of Chemistry A Molecular Approach Third ediTion NivAldo J. Tro Westmont College Editor-in-Chief: Jeanne Zalesky Senior Acquisitions Editor: Terry Haugen Director of Development: Jennifer Hart Marketing Manager: Will Moore Development Editor: Erin Mulligan Program Managers: Jessica Moro / Sarah Shefveland Project Manager: Beth Sweeten Text Permissions Project Manager: Tim Nicholls Program Management Team Lead: Kristen Flatham Project Management Team Lead: David Zielonka Production Management: Francesca Monaco, CodeMantra Compositor: CodeMantra Design Manager: Derek Bacchus Interior Designer: Gary Hespenheide Cover Designer: Gary Hespenheide Illustrator: Precision Graphics Photo Researchers: Lauren McFalls / Mark Schaefe, Lumina Datamatics Photo Leads: Maya Melenchuk / Eric Shrader Operations Specialist: Maura Zaldivar-Garcia Cover and Chapter Opening Illustrations: Quade Paul Credits and acknowledgments for materials borrowed from other sources and reproduced, with permission, in this textbook appear on the appropriate page within the text or on p. xxx. Copyright © 2016, 2013, 2010 Pearson Education, Inc. All rights reserved. Manufactured in the United States of America. This publication is protected by Copyright, and permission should be obtained from the publish- er prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. To obtain permission(s) to use material from this work, please submit a written request to Pearson Education, Inc., Permissions Department, 221 River Street, Hoboken, New Jersey 07030. For information regarding permissions, call (847) 486-2635. Many of the designations used by manufacturers and sellers to distinguish their products are claimed as trademarks. Where those designations appear in this book, and the publisher was aware of a trademark claim, the designations have been printed in initial caps or all caps. MasteringChemistry is a trademark, in the U.S. and/or other countries, of Pearson Education, Inc. or its affiliates. Library of Congress Cataloging-in-Publication Data Tro, Nivaldo J. Principles of Chemistry : a molecular approach / Nivaldo J. Tro, WestmontCollege. -- Third edition. p cm ISBN 978-0-321-97194-4 1. Chemistry, Physical and theoretical--Textbooks. 2. Chemistry, Physical and theoretical--Study and teaching (Higher) I. Title. QD453.3.T76 2016 540--dc23 2014040200 1 2 3 4 5 6 7 8 9 10—V011—16 15 14 13 12 ISBN 10: 0-321-97194-9; ISBN 13: 978-0-32197194-4 www.pearsonhighered.com To Michael, Ali, Kyle, and Kaden About the Author Nivaldo Tro is a professor of chemistry at Westmont College in Santa Barbara, California, where he has been a faculty member since 1990. 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 mole- cules 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 solu- tion. Since coming to Westmont, Professor Tro has been awarded grants from the American Chemical Society Petroleum Research Fund, from the Research Corporation, and from the National Science Foundation to study the dynamics of various processes occurring in thin adlayer films adsorbed on dielectric surfaces. He has been honored as Westmont’s outstanding teacher of the year three times and has also received the college’s out- standing researcher of the year award. 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, reading to his children, and being outdoors with his family. iii Brief Contents Preface xv 1 Matter, Measurement, and Problem Solving 2 2 Atoms and Elements 42 3 Molecules, Compounds, and Chemical Equations 76 4 Chemical Quantities and Aqueous Reactions 124 5 Gases 176 6 Thermochemistry 220 7 The Quantum-Mechanical Model of the Atom 262 8 Periodic Properties of the Elements 300 9 Chemical Bonding I: The Lewis Model 340 10 Chemical Bonding II: Molecular Shapes, Valence Bond Theory, and Molecular Orbital Theory 378 11 Liquids, Solids, and Intermolecular Forces 428 12 Solutions 478 13 Chemical Kinetics 518 14 Chemical Equilibrium 562 15 Acids and Bases 602 16 Aqueous Ionic Equilibrium 646 17 Free Energy and Thermodynamics 692 18 Electrochemistry 734 19 Radioactivity and Nuclear Chemistry 776 Appendix I: Common Mathematical Operations in Chemistry A-1 Appendix II: Useful Data A-7 Appendix III: Answers to Selected Exercises A-17 Appendix IV: Answers to In-Chapter Practice Problems A-42 Glossary G-1 Credits C-1 Index i-1 iv Contents Preface xv 1 Matter, Measurement, and Problem Solving 2 1.1 Atoms and Molecules 3 1.2 The Scientific Approach to Knowledge 5 1.3 The Classification of Matter 7 The States of Matter: Solid, Liquid, and Gas 7 Classifying Matter According to Its Composition: Elements, Compounds, and Mixtures 8 1.4 Physical and Chemical Changes and Physical and Chemical Properties 9 1.5 Energy: A Fundamental Part of Physical and 2 Atoms and Elements 42 Chemical Change 12 1.6 The Units of Measurement 13 2.1 imaging and Moving individual Atoms 43 The Standard Units 13 The Meter: A Measure of Length 14 2.2 Modern Atomic Theory and the laws The Kilogram: A Measure of Mass 14 The Second: A That led to it 45 Measure of Time 14 The Kelvin: A Measure of The Law of Conservation of Mass 45 The Law of Definite Temperature 14 Prefix Multipliers 16 Derived Units: Volume Proportions 46 The Law of Multiple Proportions 47 John and Density 17 Volume 17 Density 18 Calculating Dalton and the Atomic Theory 48 Density 18 2.3 The discovery of the Electron 48 1.7 The reliability of a Measurement 19 Cathode Rays 49 Millikan’s Oil Drop Experiment: Counting Significant Figures 21 Exact Numbers 22 The Charge of the Electron 50 Significant Figures in Calculations 23 Precision and 2.4 The Structure of the Atom 50 Accuracy 24 2.5 Subatomic Particles: Protons, Neutrons, and 1.8 Solving Chemical Problems 25 Electrons in Atoms 52 Converting from One Unit to Another 25 General Problem- Elements: Defined by Their Numbers of Protons 53 Solving Strategy 27 Units Raised to a Power 29 Isotopes: When the Number of Neutrons Varies 54 Problems Involving an Equation 30 Ions: Losing and Gaining Electrons 56 Chapter in review 33 2.6 Finding Patterns: The Periodic law and Key Terms 33 Key Concepts 33 Key Equations and the Periodic Table 57 Relationships 34 Key Learning Objectives 34 Ions and the Periodic Table 59 Exercises 34 2.7 Atomic Mass: The Average Mass of an Problems by Topic 34 Cumulative Problems 38 Element’s Atoms 61 Challenge Problems 39 Conceptual Problems 40 2.8 Molar Mass: Counting Atoms by Weighing Them 62 Questions for Group Work 41 Answers to Conceptual Connections 41 The Mole: A Chemist’s “Dozen” 62 Converting between Number of Moles and Number of Atoms 63 Converting between Mass and Amount (Number of Moles) 64 Chapter in review 68 Key Terms 68 Key Concepts 69 Key Equations and Relationships 69 Key Learning Objectives 69 Exercises 70 Problems by Topic 70 Cumulative Problems 72 Challenge Problems 73 Conceptual Problems 74 Questions for Group Work 74 Answers to Conceptual Connections 75 v vi Contents 3 Molecules, Compounds, and Chemical Equations 76 3.1 Hydrogen, oxygen, and Water 77 3.2 Chemical Bonds 79 Ionic Bonds 79 Covalent Bonds 80 3.3 representing Compounds: Chemical Formulas and Molecular Models 80 Types of Chemical Formulas 80 Molecular Models 82 3.4 An Atomic-level view of Elements and Compounds 82 3.5 ionic Compounds: Formulas and Names 86 Writing Formulas for Ionic Compounds 87 Naming Ionic Compounds 87 Naming Binary Ionic Compounds 4 Chemical Quantities and Containing a Metal That Forms Only One Type of Cation 89 Naming Binary Ionic Compounds Containing a Metal That Aqueous reactions 124 Forms More Than One Kind of Cation 90 Naming Ionic Compounds Containing Polyatomic Ions 91 Hydrated Ionic 4.1 Climate Change and the Combustion of Fossil Fuels 125 Compounds 92 4.2 reaction Stoichiometry: How Much 3.6 Molecular Compounds: Formulas and Names 93 Carbon dioxide? 127 Naming Molecular Compounds 93 Naming Acids 94 Making Pizza: The Relationships Among Ingredients 127 Naming Binary Acids 95 Naming Oxyacids 95 Making Molecules: Mole-to-Mole Conversions 128 3.7 Formula Mass and the Mole Concept Making Molecules: Mass-to-Mass Conversions 128 for Compounds 96 4.3 limiting reactant, Theoretical Yield, and Molar Mass of a Compound 97 Using Molar Mass Percent Yield 131 to Count Molecules by Weighing 97 Limiting Reactant, Theoretical Yield, and Percent Yield 3.8 Composition of Compounds 99 from Initial Reactant Masses 133 Conversion Factors from Chemical Formulas 101 4.4 Solution Concentration and Solution Stoichiometry 137 3.9 determining a Chemical Formula from Solution Concentration 138 Using Molarity in Experimental data 102 Calculations 139 Solution Stoichiometry 143 Calculating Molecular Formulas for 4.5 Types of Aqueous Solutions and Solubility 144 Compounds 104 Combustion Analysis 105 Electrolyte and Nonelectrolyte Solutions 145 The Solubility 3.10 Writing and Balancing Chemical Equations 107 of Ionic Compounds 146 Writing Balanced Chemical Equations 109 4.6 Precipitation reactions 148 3.11 organic Compounds 111 4.7 representing Aqueous reactions: Molecular, ionic, and Complete ionic Equations 152 Chapter in review 114 Key Terms 114 Key Concepts 114 Key Equations 4.8 Acid–Base and Gas-Evolution reactions 154 and Relationships 115 Key Learning Objectives 116 Acid–Base Reactions 154 Gas-Evolution Reactions 157 Exercises 117 4.9 oxidation–reduction reactions 159 Problems by Topic 117 Cumulative Problems 120 Oxidation States 161 Identifying Redox Reactions 163 Challenge Problems 121 Conceptual Problems 122 Combustion Reactions 165 Questions for Group Work 122 Answers to Conceptual Chapter in review 167 Connections 122 Key Terms 167 Key Concepts 167 Key Equations and Relationships 168 Key Learning Objectives 168 Exercises 168 Problems by Topic 168 Cumulative Problems 172 Challenge Problems 173 Conceptual Problems 174 Questions for Group Work 175 Answers to Conceptual Connections 175 5 Gases 176 5.1 Breathing: Putting Pressure to Work 177 5.2 Pressure: The result of Molecular Collisions 178 Pressure Units 179 Contents vii 6.4 Quantifying Heat and Work 230 Heat 230 Thermal Energy Transfer 232 Work: Pressure–Volume Work 234 6.5 Measuring 𝚫E for Chemical reactions: Constant- volume Calorimetry 235 6.6 Enthalpy: The Heat Evolved in a Chemical reaction at Constant Pressure 238 Exothermic and Endothermic Processes: A Molecular View 240 Stoichiometry Involving ∆H: Thermochemical Equations 241 6.7 Constant-Pressure Calorimetry: Measuring 𝚫Hrxn 242 6.8 Hess’s law and other relationships involving 𝚫Hrxn 244 5.3 The Simple Gas laws: Boyle’s law, Charles’s law, 6.9 Enthalpies of reaction from Standard and Avogadro’s law 180 Heats of Formation 247 Boyle’s Law: Volume and Pressure 181 Charles’s Law: Standard States and Standard Enthalpy Changes 247 Volume and Temperature 183 Avogadro’s Law: Volume and Calculating the Standard Enthalpy Change for a Reaction 249 Amount (in Moles) 185 Chapter in review 253 5.4 The ideal Gas law 186 Key Terms 253 Key Concepts 253 Key Equations and 5.5 Applications of the ideal Gas law: Molar volume, Relationships 254 Key Learning Objectives 254 density, and Molar Mass of a Gas 188 Exercises 255 Molar Volume at Standard Temperature and Pressure 189 Problems by Topic 255 Cumulative Problems 258 Density of a Gas 189 Molar Mass of a Gas 191 Challenge Problems 259 Conceptual Problems 260 5.6 Mixtures of Gases and Partial Pressures 192 Questions for Group Work 260 Answers to Conceptual Collecting Gases over Water 196 Connections 261 5.7 Gases in Chemical reactions: Stoichiometry revisited 198 Molar Volume and Stoichiometry 200 5.8 Kinetic Molecular Theory: A Model for Gases 201 The Nature of Pressure 202 Boyle’s Law 202 Charles’s Law 202 Avogadro’s Law 202 Dalton’s Law 202 Temperature and Molecular Velocities 203 5.9 Mean Free Path, diffusion, and Effusion of Gases 205 5.10 real Gases: The Effects of Size and intermolecular Forces 207 The Effect of the Finite Volume of Gas Particles 207 The Effect of Intermolecular Forces 208 Van der Waals Equation 209 Chapter in review 210 Key Terms 210 Key Concepts 210 Key Equations and Relationships 211 Key Learning Objectives 211 7 The Quantum-Mechanical Model Exercises 212 of the Atom Problems by Topic 212 Cumulative Problems 215 262 Challenge Problems 217 Conceptual Problems 218 Questions for Group Work 218 Answers to Conceptual 7.1 Schrödinger’s Cat 264 Connections 219 7.2 The Nature of light 264 The Wave Nature of Light 265 The Electromagnetic 6 Thermochemistry 220 Spectrum 267 Interference and Diffraction 268 The Particle Nature of Light 270 6.1 Chemical Hand Warmers 221 7.3 Atomic Spectroscopy and the Bohr Model 273 6.2 The Nature of Energy: Key definitions 222 7.4 The Wave Nature of Matter: The de Broglie Wavelength, Units of Energy 224 the Uncertainty Principle, and indeterminacy 275 6.3 The First law of Thermodynamics: There is The de Broglie Wavelength 276 The Uncertainty No Free lunch 225 Principle 277 Indeterminacy and Probability Distribution Internal Energy 225 Maps 279

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