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# homework5 - Homework#5 PHYS 404 Fall 2011 Deadline Thursday...

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Homework #5 — PHYS 404 — Fall 2011 Deadline: Thursday, October 13, 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 35 points. Ch.3 Interactions and Implications 1. Problem 3.5, 10 points. The energy U of an Einstein solid at low T . First, express the entropy S ( U,N ) of an Einstein solid from Problem 2.17 in terms of the total energy U = and the number of oscillators N . You should have found the multiplicity Ω = ( eN/q ) q in Problem 2.17. Second, introduce the temperature T using the equation 1 /T = ∂S/∂U and the expres- sion for S ( U,N ) from the ﬁrst step. Solve this equation to express the energy U ( T,N ) as a function of T and N . Additional Question:

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homework5 - Homework#5 PHYS 404 Fall 2011 Deadline Thursday...

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