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homework4 - Homework#4 PHYS 404 Fall 2011 Deadline Thursday...

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Homework #4 — PHYS 404 — Fall 2011 Deadline: Thursday, October 6, 2011, in class Professor Victor Yakovenko Office: 2115 Physics Web page: http://www2.physics.umd.edu/ ~ yakovenk/teaching/ Textbook: Daniel V. Schroeder, An Introduction to Thermal Physics Addison Wesley Longman, 2000, ISBN 0-201-38027-7 Do not forget to write your name and the homework number! Total score is 40 points. Ch. 2 The Second Law 1. Problem 2.26, 5 points. Multiplicity of the 2D ideal gas. 2. Problem 2.31, 10 points. Derive the Sackur-Tetrode equation. Additional question: Express the energy U per particle N in terms of the temperature T using the formula (1.23) with f = 3 (monoatomic gas): U/N = (3 / 2) kT . Rewrite the formula (2.49) for the entropy per particle s = S/N in terms of the temperature T , the concentration of particles n = N/V , and other parameters. Sketch the entropy S as a function of T . Estimate the temperature T * where S ( T ) formally becomes negative. Express T * in terms of n and the atomic mass m , and then in terms of a = 3 n , which is the typical distance between the atoms. The
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