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Unformatted text preview: Physics 112, Fall 2010: Holzapfel Problem Set 3 (6 problems). Due Monday, September 20, 5 PM Problem 1 : Energy fluctuations (a) Kittel, Problem 3.4 (b) Consider the case of the ideal gas and calculate < ( U ) 2 > U . For what value of N do the fluctuations become of order 10 percent of the total energy? Problem 2 : Diatomic molecules Kittel, Problem 3.6 Problem 3 : DNA denaturation a) Kittel, Problem 3.7 b) A more realistic model allows for the DNA to unzip from either the left or the right side of the molecule. Calculate the partition function for this case. Problem 4 : Rubber Band Kittel, Problem 3.10 Problem 5 : Entropy of Mixing Consider two ideal monatomic gases. The partition function for each can be be written as: Z N a = Z N a a N a ! , Z N b = Z N b b N b ! ; (1) where Z a is the partition function of a single particle of gas a of which there are N a particles, and Z b is the partition function of a single particle of gas b of which there are N b particles. Now assume that a barrierparticles....
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