A Guide to Physics Problems Part 2: Thermodynamics, by Sidney B. Cahn, Gerald D. Mahan, Boris E. Nadgorny, Max

By Sidney B. Cahn, Gerald D. Mahan, Boris E. Nadgorny, Max Dresden

In order to equip hopeful graduate scholars with the information essential to move the qualifying exam, the authors have assembled and solved general and unique difficulties from significant American universities – Boston collage, college of Chicago, collage of Colorado at Boulder, Columbia, collage of Maryland, collage of Michigan, Michigan country, Michigan Tech, MIT, Princeton, Rutgers, Stanford, Stony Brook, collage of Tennessee at Knoxville, and the collage of Wisconsin at Madison – and Moscow Institute of Physics and expertise. quite a lot of fabric is roofed and comparisons are made among related difficulties of alternative colleges to supply the scholar with adequate info to consider cozy and assured on the examination. Guide to Physics Problems is released in volumes: this publication, Part 2, covers Thermodynamics, Statistical Mechanics and Quantum Mechanics; Part 1, covers Mechanics, Relativity and Electrodynamics.

Praise for A consultant to Physics difficulties: half 2: Thermodynamics, Statistical Physics, and Quantum Mechanics:

"… A consultant to Physics difficulties, half 2 not just serves a tremendous functionality, yet is a excitement to learn. via making a choice on difficulties from diverse universities or even diverse clinical cultures, the authors have successfully refrained from a one-sided method of physics. the entire difficulties are strong, a few are very attention-grabbing, a few definitely exciting, a number of are loopy; yet them all stimulate the reader to contemplate physics, now not simply to coach you to go an examination. i actually bought substantial excitement in operating the issues, and that i may bet that anybody who desires to be a certified physicist may event related amusement. … This ebook might be an outstanding support to scholars and professors, in addition to a resource of delight and enjoyment." (From Foreword by way of Max Dresden)

"An first-class source for graduate scholars in physics and, one expects, additionally for his or her teachers." (Daniel Kleppner, Lester Wolfe Professor of Physics Emeritus, MIT)

"A great choice of difficulties … Thought-provoking, unique, and simply undeniable enjoyable to solve." (Giovanni Vignale, division of Physics and Astronomy, college of Missouri at Columbia)

"Interesting certainly and relaxing. the issues are inventive and their suggestions very informative. i'd definitely suggest it to all graduate scholars and physicists generally … really necessary for lecturers who wish to take into consideration difficulties to give of their course." (Joel Lebowitz, Rutgers University)

"A very completely assembled, fascinating set of difficulties that covers the major parts of physics addressed via Ph.D. qualifying tests. … Will turn out most valuable to either college and scholars. certainly, I plan to exploit this fabric as a resource of examples and illustrations that might be labored into my lectures." (Douglas generators, college of California at Irvine)

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Additional resources for A Guide to Physics Problems Part 2: Thermodynamics, Statistical Physics, and Quantum Mechanics

Example text

60). Find the mass of oxygen and the oxygen saturation vapor pressure at this temperature. THERMODYNAMICS AND STATISTICAL PHYSICS 31 Hint: K is the boiling temperature of liquid nitrogen at atmospheric pressure. Oxygen boils at a higher temperature. 61 Air Bubble Coalescence (Moscow Phys-Tech) A tightly closed jar is completely filled with water. 61b). The pressure at the top of the jar is the radius of each original bubble is and the coefficient of surface tension is Consider the process to be isothermal.

Evaluate explicitly the change in entropy of the system. 39 21 Chemical Potential of Ideal Gas (Stony Brook) Derive the expression for the Gibbs free energy and chemical potential of N molecules of an ideal gas at temperature pressure P, and volume V. Assume that all the molecules are in the electronic ground state with degeneracy At what temperature is this approximation valid? 40 Gas in Harmonic Well (Boston) A classical system of N distinguishable noninteracting particles of mass is placed in a three-dimensional harmonic well: a) Find the partition function and the Helmholtz free energy.

91 Quivering Mirror (MIT, Rutgers, Stony Brook) a) A very small mirror is suspended from a quartz strand whose elastic constant is D. ) In a real-life experiment the mirror reflects a beam of light in such a way that the angular fluctuations caused by the impact of surrounding molecules (Brownian motion) can be read on a suitable scale. The position of the equilibrium is One observes the average value and the goal is to find Avogadro’s number (or, what is the same thing, determine the Boltzmann constant).

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