quiz-4-03-25-10

quiz-4-03-25-10 - Print your name clearly: Signature: I...

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Print your name clearly: Signature: “I agree to neither give nor receive aid during this quiz.” Quiz 4 for Physics 176 Professor Greenside Thursday, March 26, 2010 This quiz is closed book and no calculators or any other electronic devices are allowed. Please write all answers on the supplementary blank pages. Also, write your name and problem number on each extra page. The following equations may be useful: dU = TdS - PdV + μ dN, p s = e - βE s Z , Z = X s e - βE s , E = X s p s E s = - ln( Z ) ∂β . (1) D ( v ) = 4 π m 2 πkT · 3 / 2 v 2 e - mv 2 / (2 kT ) . (2) 1. (10 points) Consider a small system S in thermodynamic equilibrium with a large reservoir that has a constant temperature T and constant chemical potential μ . (The latter condition corresponds to a constant pressure if the reservoir is an ideal gas.) The small system and the reservoir consist of the same kind of particles, and the small system can exchange particles but not energy with the reservoir, so the number of particles in the small system can vary with time. Using an argument similar to how
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quiz-4-03-25-10 - Print your name clearly: Signature: I...

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