homework5 - Homework#5 PHYS 603 Spring 2007 Deadline...

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Homework #5 — PHYS 603 — Spring 2007 Deadline: Tuesday, April 24, 2007, in class Professor Victor Yakovenko Office: 2115 Physics Web page: http://www2.physics.umd.edu/˜yakovenk/teaching/ Textbook: Gregory H. Wannier, Statistical Physics Dover 1987 reprint of the 1966 edition, ISBN 0-486-65401-X Do not forget to write your name and the homework number! Each problem is worth 10 points. Ch. 5 Statistical Justification of the Second Law 1. Problem 5.1, Adiabatic expansion of a cubic box. Write down the quantum energy levels in a cubic box. Assuming that initially the en- ergy levels are populated with a temperature T , find out how the temperature changes when the box is adiabatically expanded preserving its proportions. Show that a rela- tionship between T and volume V is in agreement with Eq. (1.38) for monoatomic gas with c v = 3 / 2. Problem 5.6, Asymmetric expansion of a rectangular box. 2. Problem 5.2, Internal energy U and entropy S of the van der Waals gas.
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