By Sidney B. Cahn, Gerald D. Mahan, Boris E. Nadgorny, Max Dresden
In order to equip hopeful graduate scholars with the information essential to cross the qualifying exam, the authors have assembled and solved commonplace 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 kingdom, 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 know-how. quite a lot of fabric is roofed and comparisons are made among related difficulties of alternative faculties to supply the scholar with sufficient info to believe 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 major functionality, yet is a excitement to learn. by way of picking out difficulties from assorted universities or even varied medical cultures, the authors have successfully shunned a one-sided method of physics. all of the difficulties are stable, a few are very attention-grabbing, a few definitely interesting, a couple of are loopy; yet them all stimulate the reader to contemplate physics, now not in basic terms to coach you to move an examination. i actually acquired significant excitement in operating the issues, and that i could bet that any one who desires to be a qualified physicist could adventure related amusement. … This ebook should be an excellent aid to scholars and professors, in addition to a resource of enjoyment and enjoyment." (From Foreword through 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, exciting, and simply undeniable enjoyable to solve." (Giovanni Vignale, division of Physics and Astronomy, college of Missouri at Columbia)
"Interesting certainly and stress-free. the issues are creative and their options very informative. i might definitely suggest it to all graduate scholars and physicists normally … relatively necessary for lecturers who want to take into consideration difficulties to give of their course." (Joel Lebowitz, Rutgers University)
"A very completely assembled, attention-grabbing set of difficulties that covers the main parts of physics addressed through Ph.D. qualifying checks. … Will end up most respected to either college and scholars. certainly, I plan to take advantage of this fabric as a resource of examples and illustrations that would be labored into my lectures." (Douglas generators, college of California at Irvine)
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Additional info for A Guide To Physics Problems. Thermodynamics, Statistical Physics, And Quantum Mechanics
A) Evaluate the free energy F. Explicitly display the dependence on the volume Now consider another vessel, also at temperature containing the same number of molecules of the identical gas held at pressure b) Give an expression for the total entropy of the two gases in terms of c) The vessels are then connected to permit the gases to mix without doing work. 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.
21 Atmospheric Energy (Rutgers) The density of the Earth’s atmosphere, varies with height above the Earth’s surface. Assume that the “thickness” of the atmosphere is sufficiently small so that it is in a uniform gravitational field of strength a) Write an equation to determine the atmospheric pressure given the function b) In a static atmosphere, each parcel of air has an internal energy and a gravitational potential energy To a very good approximation, the air in the atmosphere is an ideal gas with constant specific heat.
D) What is the final temperature when the gas is adiabatically compressed from to final volume e) How much work is done in this compression? 53 Critical Parameters (Stony Brook) Consider a system described by the Dietrici equation of state where A, B, R are constants and P, V, and are the pressure, volume, temperature, and number of moles. , the values of P, V, and at the critical point. 54 Entropy of Mixing (Michigan, MIT) a) A 2-L container is divided in half: One half contains oxygen at 1 atm, the other nitrogen at the same pressure, and both gases may be considered ideal.