PS9 - University of California Santa Barbara, Department of...

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Unformatted text preview: University of California Santa Barbara, Department of Chemical Engineering ChE 210A: Thermodynamics and Statistical Mechanics Problem set #9 Due: Friday, December 5, 2008 Objective: To understand the properties of and develop models using the isothermal-isobaric and grand canonical ensembles, and to understand chemical equilibrium. 1. Statistical antics : What was your favorite statistical antics question this quarter? (a) kind of break after a problem set, (b) superpowers, (c) 22 nd century travel bureau, (d) costume party, (e) most influential future scientific or technological advance, (f) murder mystery character, (g) Carnegie Hall performance, or (h) wish from a genie. 2. Fundamentals problem (2 points). Consider the grand canonical ensemble. Show that the average number of particles is given by the following expression, where g G exp : G g ln g 3. Applied problem (4 points). Consider a one-dimensional elastic band as a model of a linear polymer. The end-to-end distance of the polymer is...
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PS9 - University of California Santa Barbara, Department of...

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