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homework6

# homework6 - Homework#6 PHYS 603 Spring 2007 Deadline...

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Homework #6 — PHYS 603 — Spring 2007 Deadline: Tuesday, May 1, 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. 7 Thermodynamic Exploitation of the Second Law; Mass Transfer Problem 1. UMD qualifier problem, August 2002: Boiling and freezing of water at high elevation. (a) Near Earth, the pressure in a liquid or gas decreases as we move away from the earth. Show that, for a small vertical displacement dz , the change of pressure dP is dP = - ρ g dz (1) where ρ ( z ) is the mass density of the fluid. (b) Assuming that the air near Earth can be treated as a perfect gas in equilibrium with a constant temperature T , show that Eq. (1) yields the Boltzmann distri- bution for the variation of the number density n ( z ) with the height z . (It is also called the barometric distribution.) (c)

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homework6 - Homework#6 PHYS 603 Spring 2007 Deadline...

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