Chemistry For Engineering Students, 4th Edition
Chemistry For Engineering Students, 4th Edition
Chemistry For Engineering Students, 4th Edition
2018
Thomas Holme
Iowa State University, taholme@iastate.edu
Recommended Citation
Brown, Lawrence S. and Holme, Thomas, "Chemistry for Engineering Students, 4th Edition" (2018). Chemistry Books. 1.
https://lib.dr.iastate.edu/chem_books/1
This Book is brought to you for free and open access by the Chemistry at Iowa State University Digital Repository. It has been accepted for inclusion in
Chemistry Books by an authorized administrator of Iowa State University Digital Repository. For more information, please contact
digirep@iastate.edu.
Contents
Preface xv11
Student Introduction xxv1
1\ Introduction to Chemistry 1
1.1 1mna:11 Critical Materials 3
1.2 The Study of Chemistry 4
The Macroscopic Perspective 4
The Microscopic or Particulate Perspective 6
Symbolic Representation 9
1.3 The Science of Chemistry: Observations, Models,
and Systems 10
Observations in Science 10
Interpreting Observations 11
Models in Science 12
1.4 Numbers and Measurements in Chemistry 13
Units 13
Numbers and Significant Figures 16
1.s Problem Solving in Chemistry and Engineering 19
Using Ratios 19
Ratios in Chemistry Calculations 20
Conceptual Chemistry Problems 22
Visualization in Chemistry 23
1.6 1unm:11 Touchscreen Technology 2 5
Focus on Problem Solving 26
Summary 27
Key Terms 27
Problems and Exercises 28
\
2 Atoms and Molecules 33
2.1 1u11m:11 Conducting Polymers 34
2.2 Atomic Structure and Mass 36
Fundamental Concepts of the Atom 36
Atomic Number and Mass Number 37
Isotopes 37
Atomic Symbols 38
Atomic Masses and Weights 39
2.3 Ions 41
Mathematical Description 42
Ions and Their Properties 43
viii
2.4 Compounds and Chemical Bonds 43
Chemical Formulas 44
Chemical Bonding 45
2.5 The Periodic Table 47
Periods and Groups 48
Metals, Nonmetals, and Metal/aids 50
2.6 Inorganic and Organic Chemistry 51
Inorganic Chemistry-Main Groups and Transition Metals 52
Organic Chemistry 53
Functional Groups 56
2.7 Chemical Nomenclature 56
Binary Systems 56
Naming Covalent Compounds 58
Naming Ionic Compounds 59
2.8 1m1ttt:11 Polyethylene 60
Focus on Problem Solving 62
Summary 63
Key Terms 63
Problems and Exercises 64
4\ Stoichiometry 107
4.1 11.11•1@:11 Gasoline and Other Fuels 108
Contents ix
4.2 Fundamentals of Stoichiometry 111
Obtaining Ratios from a Balanced Chemical Equation 112
4.3 L1m1ting Reactants 116
4.4 Theoretical and Percentage Yields 121
4.5 Solution Stoichiometry 123
4.6 1m1tct:11 Alternative Fuels and Fuel Add1t1ves 125
Focus on Problem Solving 127
Summary 128
Key Terms 128
Problems and Exercises 128
5\ Gases 137
5.1 llMM:ll Natural Gas Production 138
Properties of Gases 140
5.2 Pressure 141
Measuring Pressure 142
Units of Pressure 143
5.3 History and Application of the Gas Law 144
Units and the Ideal Gas Law 147
5.4 Partial Pressure 148
5.5 Stoichiometry of Reactions Involving Gases 151
STP Conditions 152
5.6 Kinetic-Molecular Theory and Ideal Versus Real
Gases 153
Postulates of the Model 154
Real Gases and Limitations of the Kinetic Theory 157
Correcting the Ideal Gas Equation 158
5.7 1m1ut:11 Gas Sensors 160
Capacitance Manometer 161
Thermocouple Gauge 161
Ionization Gauge 162
Mass Spectrometer 163
Focus on Problem Solving 163
Summary 164
Key Terms 164
Problems and Exercises 165
x Contents
Potential Energy and Orbitals 187
Quantum Numbers 188
Visualizing Orbitals 191
6.5 The Pauli Exclusion Principle and Electron
Configurations 194
Orbital Energies and Electron Configurations 194
Hund's Rule and the Aufbau Principle 196
6.6 The Periodic Table and Electron Configurations 198
6.7 Periodic Trends in Atomic Properties 199
Atomic Size 199
Ionization Energy 202
Electron Affinity 203
6.8 1£11'1M:JI Modern Light Sources: LEDs and Lasers 205
Focus on Problem Solving 207
Summary 208
Key Terms 208
Problems and Exercises 209
Contents xi
8.3 Bonding in Solids: Metals, Insulators, and
Semiconductors 262
Models of Metallic Bonding 262
Band Theory and Conductivity 264
Semiconductors 265
8.4 Intermolecular Forces 269
Forces Between Molecules 269
Dispersion Forces 269
Dipole-Dipole Forces 270
Hydrogen Bonding 2 71
8.5 Condensed Phases-Liquids 274
Vapor Pressure 274
Boiling Point 276
Surface Tension 277
8.6 Polymers 278
Addition Polymers 279
Condensation Polymers 281
Copolymers 283
Physical Properties 284
Polymers and Additives 285
8.7 1m;na:11 Micro-Electrical-Mechanical Systems (MEMS) 285
Focus on Problem Solving 287
Summary 287
Key Terms 287
Problems and Exercises 288
xii Contents
9.8 IUJ1ltf:ll Power Distribution and the Electrical Grid 320
Focus on Problem Solving 322
Summary 323
Key Terms 323
Problems and Exercises 323
Contents xiii
11.s Temperature and Kinetics 380
Temperature Effects and Molecules That React 381
Arrhenius Behavior 383
11 .6 Reaction Mechanisms 388
Elementary Steps and Reaction Mechanisms 388
Mechanisms and Rate: The Rate-Determining Step 390
11 .1 Catalysis 391
Homogeneous and Heterogeneous Catalysts 391
~ Molecular Perspective of Catalysis 393
~
< Catalysis and Process Engineering 393
xiv Contents
Weak Acids and Bases 437
Strong Acid-Strong Base Titrations 441
Weak Acid-Strong Base Titrations 443
12.8 Free Energy and Chemical Equilibrium 446
Graphical Perspective 446
Free Energy and Nonstandard Conditions 447
12.9 IL'HM:ll Bendable Concrete 449
Focus on Problem Solving 450
Summary 451
Key Terms 451
Problems and Exercises 451
Contents xv
14.2 Radioactivity and Nuclear Reactions 501
Radioactive Decay 501
Alpha Decay 502
Beta Decay 503
Gamma Decay 504
Electron Capture 504
Positron Emission 505
14.3 Kinetics of Radioactive Decay 506
Radiocarbon Dating 508
14.4 Nuclear Stability 510
14.5 Energetics of Nuclear Reactions 512
Binding Energy 512
Magic Numbers and Nuclear Shells 513
14.6 Transmutation, Fission, and Fusion 514
Transmutation: Changing One Nucleus into Another 514
Fission 515
Nuclear Reactors 51 7
Nuclear Waste 518
Fusion 520
14.7 The Interaction of Radiation and Matter 521
Ionizing and Penetrating Power of Radiation 521
Methods of Detecting Radiation 522
Measuring Radiation Dose 523
14.8 1m;1@11 Modern Medical Imaging Methods 524
Focus on Problem Solving 525
Summary 526
Key Terms 526
Problems and Exercises 527
Appendixes
A International Table of Atomic Weights 533
B Physical Constants 535
C Electron Configurations of Atoms in the Ground State 536
D Physical Constants of Some Common Substances
Specific Heats and Hea t Capacities 537
Heats and Temperatures for Phase Changes 537
E Selected Thermodynamic Da ta at 298.15 K 538
F Ioniza tion Constants of Weak Acids at 25°C 544
G Ioniza tion Constants of Weak Bases at 25°C 546
H Solubility Product Constants of Some Inorganic Compounds
at 25°C 547
Standard Reduction Potentials in Aqueous Solution at 25°C 549
Standard Reduction Potentials in Aqueous Solution at 25°C 551
J Answers to Check your Understanding Exercises 552
K Answers to Odd-Numbered Problems and Exercises 555
Glossary 580
Index 592
xvi Contents
Preface
xvii
• Show the connection between molecular beha\ ior and observable physical
properties.
• Show the connections between chemistry and the other subjects studied b} t: lgi-
neering students, especially mathematics and physics.
Taken together, the 14 chapters in this book represent some\\ hat more material th ,
can comfortably fit into a standard semester course. Thus departments or indi, idual
instructors will need to make some further choices as to the content that is most ..uit-
able for their own students. We suspect that many instructors will not choose to in
elude all of the material on equilibrium in Chapter 12, for example. imilarly, we h 1 e
included more topics in Chapter 8, on condensed phases, than we expect most facult}
will include in their courses.
Topic Coverage
The coverage of topics in this text reflects the fact that chemists con-
stantly use multiple concepts to understand their field, often u ing more
than one model simultaneously. Thus the study of chemistry we pres-
ent here can be viewed from multiple perspectives: macroscopic, 1111 -
croscopic, and symbolic. The latter two perspecti\'es are emphasized in
Chapters 2 and 3 on atoms, molecules, and reactions. In Chapters 4 and
5, we establish more of the connection between micro copic and mac-
roscopic in our treatment of stoichiometry and gases. V.'e return to the
microscopic perspective to cover more details of atomic structure and
chemical bonding in Chapters 6 through 8. The energetic aspects of
chemistry, including important macroscopic consequences, are consid-
ered in Chapters 9 and 10, and kinetics and equilibrium are treated in
Chapters 11and12, respectively. C hapter 13 deals with electrochemistry and corro-
sion, an important chemistry application for many engineering disciplines. Finally, we
conclude with a discussion of nuclear chemistry.
xviii Preface
reactions, nuclear stability and radioactivity, decay kinetics, and the energetic conse-
quences of nuclear processes.
Mathematics: The math skills of students entering engineering majors generally
are stronger than those in the student body at large, and most of the students
taking a course of the type for which this book is intended will be concurrently
enrolled in an introductory ca lculus course. In light of this, we include re ferences
to the role of ca lculus where appropriate via our MathConnections boxes. These MathConnections
essays expand and review math concepts as they pertain to the particular topic
being studied, and appear wherever the links between the topic at hand and math-
ematics seems especially strong. These boxes are intended to be unobtrusive, so
those students takin g a precalculus math course will not be adversely affected. The
point of including calculus is not to raise the level of material being presented, but
rather to show the natural connections between the various subjects students are
studying.
lh'Htd:il
Connections Between
Chemistry and Engineering
Because this hook is intended for courses designed for engineering
majors, we stme to present chemistry in contexts that we feel will
appeal to the mterests of such students. Links between chemistry and
engineering are central to the structure of the text. Each chapter be-
gins and ends wi th a section ca ll ed llMld:ll, which introduces a
template or theme showing the interplay between chemistry and en-
gineering. These sections are only the beginning of the connections,
and the theme introduced in the initial Insight appears regularly
throughout that chapter.
We opt for currency in our engineering applications wherever possible, so
throughout the book, we discuss recent key innovations in various fields. For example,
Chapter 5 includes a discussion of hydraulic fracturing and natural gas recovery. In
Chapter 7, we describe mesoporous silicon nanoparticles, a front-line research topic
that may have important applications in biomedical engineering in the future. Chapter
8 closes with a discussion of the fabrication of micro-electrical-mechanical systems
(MEMS).
Preface xix
content may not be involved. Accordingly, \\e include a unique feature at the end o f
Focus On Problem Solving each chapter called Forns on Problem Sofring. In these sections, the questio ns posed <lo
not require a numerical answer, but rather a k the rudent to identif) the s tr<ttefn c r
reasoning to be used in the problem and often require them to identif) missing infu r-
mation for the problem. In most cases, it is not pos ible to arrive at a final numerical
answer using the infon11ation pro\'ided, so students are forced to focus on de,·eloping
a solution rather than just identif)•ing and executing an algorithm. The end-of-chapter
exercises include additional problems of thi narure so the Focus 011 Problem oh wg can
be fully incorporated into the course. This fearure grew out of an l\ ' F-funded projec:t
on assessing problem soking in chemistry classes.
Text Features
\Ve employ a number of features, some of which we referred to earlier, to help stu-
dents see the utility of chemistry and understand the connections to engineering.
llM@:ll Sections Each chapter is built around a template called an !nStgbt. These
themes, which both open and close each chapter, have been chosen to shO\\ Case
connections between engineering and chemistry. In addition to the chapter opening
and closing sections, the template themes are woven throughout the chapter,
frequently providing the context for points of discussion or example problems. This
special Insight icon is used throughout the book to identify places\\ here ide,1s
presented in the chapter opening section are revisited in the narrative.
FOCUS ON PROBLEM SOLVING Sections Engineering faculties unanimou I} say th<ll
freshman engineering students need practice in olving problems. However, it is im
portant to make a distinction here between problems and exercises. Exercises pro-
vide a chance to practice a narrow skill, whereas problems require multiple steps and
thinking outside the context of the information given. Focus on Problem ofring offer'>
students the chance to develop and practice true problem solving skills. These sec-
tions, which appear at the end of every chapter, include a mix of quantitative and
qualitative questions that focus on the p1'0cess of finding a solution to a problem, not
the solution itself. \ Ve upport these by including additional similar problems in the
end-of-chapter material.
MathConnections In our experience, one trait that distinguishes engineering
students from other genera l chemistry students is a higher level of comfort with
mathematics. Typically, most students who take a class of the sort for which this book
has been \\Titten will also be taking a course in calculus. Thus it seems natural to us to
point out the mathematical underpinnings of several of the chemistry concepts pre-
sented in the text because this should help students forge mental connections between
their courses. At the same time, we recognize that a srudent taking a precalculus math
course should not be precluded from taking chemistry. To balance these concerns, we
have placed any advanced mathematics into special MathC011nectio11s sections, which
are set off from the body of the text. Our hope is that those students familiar with the
mathematics involved will benefit from seeing the origin of things such as integrated
rate laws, whereas those students with a less extensive background in math will still be
able to read the text and master the chemistry presented.
xx Preface
answers. Every example closes with a Check Your Understanding exercise to allow stu-
dents to practice or extend the skill they have just learned. Answers to these additional
exercises are included in Appendix J at the end of the book.
End-of-Chapter Features Each chapter concludes with a chapter summary, outlining
the main points of the chapter, and a list of key te rms, each of which includes the
section number where the term first appeared. Definitions for all key terms appear in
the Glossary.
Problem Sets Each chapter includes roughly 100 problems and exercises, spanning
a wide range of difficulty. Most of these exercises are identified with specific sec-
tions to provide the practice that students need to master material from that section.
Most chapters also include a number of Additional Problems, which are not tied to any Additional Problems
particular section and which may incorporate ideas from multiple sections. Focus on Focus on Problem Solving
Problem So/toing exercises follow, as described earlier. The problems for most chap- Cumulative Problems
ters conclude '" ith Cumulative Problems, which ask students to synthesize information
from the current chapter with what they've learned from previous chapters to form
answers. For the fourth edition, we have added a new Conceptual Problems section, Conceptual Problems
which emphasizes molecular scale visualization and other nonalgorithmic exercises.
Answers for all odd-numbered problems appear at the end of the book in Appendix K.
Margin Notes Margin notes in the text point out additional facts, further emphasize
points, or point to related discussion either earlier or later in the book. Margin Notes
are denoted with an ~ icon that is also placed in the narrative and links the margin
note with the relevant passage in the text.
Preface xxi
Chapter Summary of Changes
i\1ajor Change
• Changed the opening Insight and chapter theme to focus on the concept
of critical materials
• Includes new opening Insight section
Includes changes in se"eral example problems
• Includes changes at several points in the text ''here references to
context are made
Includes changes for several Figures (1.1, 1.2, 1.6, I. I0, I. I I, 1.12)
Includes changes to end-of-chapter problems related to the context theme
Other Changes
• Introduced the importance of systems and systems thinking, ''h1ch is then
used where appropriate in later chapters
• Changed closing Insight theme to touchscreen technology
2 Major Change
• Changed the opening Insight from the pre,;ous focu~ on polymers to a
more directed focus on new conducting polymers
• Includes changes in the opening Insight section
• includes changes in several example problems
Includes changes at se,·eral points in the text where references to con-
text are made
4 • Tightened description of how mole ratios can be defined using the bal-
anced chemical equation
• Replaced Example Problem +.7 with an updated version
5 Major Change
• Changed the opening Insight and chapter theme to natural gas production
• Includes new opening Insight discussing hydraulic fracturing and other
aspects of natural gas recO\·ery and refining
Includes changes in se,·eraJ example problems
Includes changes at several points in the text where references to con-
text are made
• Includes new Figure 5.1
• Includes changes to end-of-chapter problems related to the context
theme
6 • Moved treatment of anion and cation sizes from C hapter 7 into this chap-
ter to group this concept with trends in atomic sizes
• Improved artwork for several figures, particularly those related to atomic
orbitals
7 • Moved material on ionic size and trends in ionic sizes out of this chapter
and into Chapter 6
• Revised artwork for several figures, particularly those related to orbita ls
8 • Revised amrnrk for several figures
• Added a brief discussion of dipole ,·ectors and molecular polarity in the
discussion of intermoleular forces
xxii Preface
Chapter Summary of Changes
Jl 'vlajor Change
• Changed the opening Insight and chapter theme to urban air pollution and
the role of kinetics in smog formation
Includes new opening Insight
Includes changes in several example problems
• Includes changes at several points in the text where references to con-
text are made
Includes changes for Figures l l.l, 11.2, and 11.3
Includes changes to end-of-chapter problems related to the context
theme
Includes a new closing Insight on air quality monitoring
12 Major Change
• Added extensive discussion of acid-base chemistry and equilibrium, includ-
mg titrations and titration curves
\ Supporting Material
Please visit WW\\.cengage.com/chemistry/ brownholme/chemengineer-te for more
information about student and instructor resources for this text.
\ Acknowledgments
We are very excited to see this book move forward in this fourth editio n, an d we
are grateful for the help and support we have e njoyed from a large and talented
team of pro fessionals. There are many people without whom we never could have
done this. But foremost among them are our fami lies, to whom this book is again
dedicated.
The origin of this text can be traced back many years, and as we move into this
new edition, we would like once more to thank a few people who were instrumental
in getting this project started.Jennifer Laugier first brought the two of us together to
work on a book for engineering students. J ay Campbell's work as developmental edi-
tor for the first edition was tremendous, and without his efforts the book may never
have been published. \i\Then Jay became involved, the project had been languishing
for some time, and the subsequent gains in momentum were clearly not coincidental.
The editorial leadership team at that time, consisting of MichelleJulet, David Har-
ris, and Lisa Lockwood, was also crucial in seeing this project come to fruition . The
decision to launch a book in a market segm ent that had not really existed was clearly
not an easy one, and we appreciate the confidence that everyone at what was then
Brooks/Cole placed in us.
In the development of the fourth edition, our Cengage team includes a mix of
the familiar and the new. \Ve would like to thank our product manager, Lisa Lock-
wood, whose continued support is always appreciated. Our Content Developer
for this edition is P eter McGahey, and both Lisa and Peter contributed g reatly to
discussions on where to focus our efforts in this revision. Peter has worked with us
through the entire revision process and provided a number of suggestions that have
Preface xxiii
improved the finished edition. Stacey Lutkoski and Lynn Lustberg at \lPS Lim· tc: d
have overseen the production process. Photo and text resea rch \\as handl ed b' n
team at Lumina Datamatics. Anne Alexander (~1 ilwaukec chool of Engineeri ng)
and Dan Collins (Texas A&M University) helped us check the page proofs, pron d-
ing valuable comments that have improved the accuracy of the text. The book in
your hands truly reflects the best efforts of many hard-working professionals, and
we are grateful to all of them for their roles in this project.
It has been 12 years since the first edition was published, and throughout th.n
time, we have received useful feedback from numerous students and colleagues. Mud
of that feedback is informal, including e-mail from students or faculty members poin
ing out errors they ha,•e found or letting us know about sections they really like
Although there is no way to list all of the people who have contributed in this way, \\C
do sincerely thank you all.
Faculty members from a wide va riety of institutions also provided more formal
comments on the text at various stages of its de\'elopment. \Ve thank the following
re,;ewers for their contributions to the current re\ision.
Nuwan De Silva, Fmmingham State Unh•ersity
Donovan Dixon, University of Cemrnl Florida
E lizabeth Griffith, University ofMnrylmul
Roy Sagar, / ew Jersey Institute ofTec/1110/ogy
Kimberly Schunncier, Georgia Institute ofTeclmolo?J'
Thomas Sorensen, University of Wisco11si11-iV/ilwnukee
Todd Wind man, Arizona State University
\Ve also thank the following reviewers for their contributions to the development of
the earlier editions of the book.
D arrel Axtell, Saint Mnnin's University
Simon Bolt, University ofHouston
Patricia Muisener, University ofSouth Florida
Diana Phillips, Kettering University
Paul A. DiMilla, onhenstem University
Walter England, University ofWisconsin-Milwnukee
~1ary Hadley, Minnesota State University, 1Wa11kato
Andy J orgensen , University ofToledo
Karen Knaus, University of Colorado-Denver
Pamela Wolff, Cadeton University
Grigori y Yablonsky, Sni11t Louis University
Robert Angelici, !own State University
Allen Apblett, Oklahoma State University
J effrey R. Appling, Clemson University
Rosemary Bartoszek-Loza, The Ohio State University
Danny Bedgood, Charles Sturt University
J am es D. Carr, University of Nebraska
Victoria Castells, University ofMiami
Paul Charlesworth, Michigan Technologiml University
Richard Chung, San Jose State University
C harles Cornett, University of Wisco11si11-Platteville
Robert Cozzens, George Alason University
xxiv Preface
Ronald Evilia, University of New Orleans
John Falconer, University of Colomdo
Sandra Greer, University ofMaryland
Benjamin S. Hsaio, State University of New York at Stony Brook
Gerald Korenowski, Rensselaer Polytechnic Institute
Yin fa \fa, University ofMissouri-Rolla
Gerald Ray Miller, University oflvlaryland
Linda \1ona, Montgomery College
Michael Mueller, Rose-Hu/man Institute ofTeclmolog;y
Kristen \forphy, University of Wisconsin-Milwaukee
Thomas]. Murphy, University ofMmyland
Richard N afshun, Oregon State University
Scott Oliver, State University ofNew York at Binghamton
The late Robert Paine, Rochester Institute ofTeclmology
Steve Rathbone, Blinn College
Jesse Reinstein, University of Wisconsin-Platteville
Don Sw, Arizona State University
Mike Sha\\, Southem Illinois University-Edwardsville
J oycc Solochek, 1ifilwaukee School ofE11ginee1·ing
J ack Tossell, University ofMaryland
Peter T \,folczanski, Coniell University
LARRY BROWN
TOM HOLME
JUNE 201 7
Preface xxv
Student Introduction
xxvi
ends with a section called an IUH@:ll . These sections are only the beginning of the
connections, and the theme introduced in the initial insight appears regularly through-
out that chapter. This special icon identifies material that is closely related to the theme
of the chapter opening Insight section. We've heard many students complain that they
don't see \\hat chemistry has to do with their chosen fields, and we hope that this ap-
proach might help you to see some of the connections.
Engineering students tend to take a fairly standard set of courses during their first
year of college, so it's likely that you might be taking calculus and physics courses along
with chemistry. We've tried to point out places where strong connections between
these subjecc; exist, and at the same time to do this in a way that does not disadvantage
a student who might be taking a precalculus math class. Thus we may refer to simi-
larities between equations you see here and those you might find in a physics text, but
we do not presume that you are already familiar with those equations. In the case of
math, we use special sections called MathConnections to discuss the use of math, and Math Connections
especially calculus, in chemistry. If you are familiar with calculus or are taking it con-
currently with this class, these sections will help you to see how some of the equations
used in chemistry emerge from calculus. But if you are not yet taking calculus, you can
simply skip over these sections and still be able to work with the needed equations.
Although our primary intent is to help you learn chemistry, we also believe
that this text an d the course for which you are using it ca n help you to develop a
broad set of skills that you will use throughout your studies and your career. Fore-
most among them is problem solving. Much of the work done by practicing engi-
neers can be characterized as solving problems. The problems you will confront in
your chemistry class clearly will be diffe rent from those yo u will see in e ngineer-
ing, physics, or math. But taken together, all of these subjects will help you formu-
late a consistent approach that can be used to attack virtually any problem. Many
of our students tend to "jump right in" and start writing equations when facing a
problem. But it is usually a better idea to think about a plan of attack before doing
that, especially if the problem is difficult or unfamiliar. Thus all of our worked ex-
amples include a Strateg;y section in which we outline the path to a solution before Strategy
starting to calculate anything. The Solution section then puts that strategy into ac- Solution
tion. For most numerical examples, we follow the solution with a section we call Analyze Your Answer
Analyze l1mr Anrom; in which we use estimation or comparison to known values to
Discussion
confirm that our result makes sense. We've seen many students who believe that
Check Your Understanding
whatever their calcul ator shows must be the right answer, even when it should be
easy to see that a mistake has been made. Many examples also include a Disws-
sion section in which we might talk about common pitfalls that you should avoid
or how the problem we've just done relates to other ideas we've a lready explored.
Finally, each example problem closes with a Check Your Understanding question or
problem, which gives you a chance to practice the skills illustrated in the example
or to extend them slightly. Answers to these Check Your Understanding questions ap-
pear in Appendix J.
While we are thinking abou t the exa mple problems, a few words about rounding
and significant figures are in order. In solving the example problems, we have used
atomic weights with the full number of significant figures shown in the periodic table
inside the back cover. \ Ve have also used as many significant figures as available for
constants such as the speed of light or the universal gas constant. \ Vhere intermedi-
ate results are shown in the text, we have tried to write them with the appropriate
number of significant figures. But when those same intermediate results are used in a
subsequent calculation, we have not rounded the values. Instead, we retain the full cal-
culator result. Only the final answer has actually been rounded. If you follow this same
procedure, you should be able to duplicate our answers. (fhe same process has been
used to generate the answers to numerical problems appearing in Appendix K.) For
problems that involve finding the slope or intercept of a line, the values shown have
been obtained by linear regression using the algorithms built into either a spreadsheet
or a graphing calculator.
LARRY BROWN
TOM HOLME
JUNE 2017