Chapter 5 Free Energy and Chemical Thermodynamics 104
Chapter 6 Boltzmann Statistics 169
Chapter 7 Quantum Statistics 202
Chapter 8 Systems of Interacting Particles 284
Appendix A Elements of Quantum Mechanics 320
Appendix B Mathematical Results 333
,iii
, Preface
This Instructor’s Solutions Manual contains solutions to all 486 problems in An Introduction to
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Thermal Physics. The solutions are not just hints or outlines—I have tried to include as many
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algebraic steps as a typical student would need to write out, plus enough prose to explain both themethod
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of solution and the meaning of the results. Of course, one can always say more about almost any question or
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calculation; I’m sure that many students and instructors can add further insight towhat is writtenhere.
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About 75 of the problems in the book require some sort of automatic computation, beyondwhat
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can be done with a simple pocket calculator. Although the problems themselves do not assumeany particular
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computing environment, their solutions do. In this manual I have used three di↵erent microcomputer-based
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computing environments: the Excel spreadsheet program for making tables of numbers and some
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graphs; Mathematica for plotting formulas, for numerical integration and root finding, and for
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occasional symbolic computation; and True BASIC for the Monte Carlo simulationsin Problems 8.26 through
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8.32. I recognize that no computing environment is perfect in all respects, and that others will make
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di↵erent choices, for excellent reasons. My own choices were determinedby trade-o↵s among such factors
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as personal familiarity, ease of use, readability of the printedrecord, portability between operating
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systems, apparent stability over time, and consistency withinthis manual. I would be interested to hear
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from instructors or students who have solved the more intricate problems using other computing
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environments.
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If you haven’t already, please browse the web site for the book, which (for the foreseeable future)is at the
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URL “http://physics.weber.edu/thermal/”. There you will find some instructions on getting started
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with Excel, Mathematica, and True BASIC, plus a variety of other information about the book and
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about thermal physics. Perhaps most importantly, you will find a page listingcorrections to the book,
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and a similar page for this manual. If you find errors in either that are notlisted on the web pages, please
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let me know.
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I am extremely grateful to the many instructors and students who have already used An
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Introduction to Thermal Physics and sent comments and suggestions. This manual has benefited
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from several corrections that were contributed by instructors using draft chapters. I am also indebted to Deb
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Badger for the use of her Macintosh G4 computer, which allowed me to run the True BASIC simulations in a
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reasonable amount of time.
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DVS
Ogden, Utah f
November 1, 2000
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Note on this corrected edition: I have taken the opportunity to correct all of the known errorsin the
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original edition of this manual. It is a pleasure to thank B. Blakie, L. Cominsky, M. Davis, A. Gavrin, J.
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Lockhart, and G. Wiegerinck for bringing many of these errors to my attention. I havealso redrawn and
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improved a number of the illustrations, including all of the spreadsheet-generated graphs. Further
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corrections and suggestions are always welcome.
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August 5, 2016 f f
iv
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