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ps5 - Chem120B Problem Set 5 Due 1 Problems 19-7 19-13...

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Chem120B Problem Set 5 Due: February 25, 2011 1. Problems 19-7, 19-13, 19-14, and 19-34 in Simon and McQuarrie’s Physical Chemistry . 2. We have argued several times that, in a dilute system, the number of ways to arrange N identical molecules in a large volume V is W ( V ) = V N × (factors independent of volume) Here you will use that result to calculate the entropy change Δ S mix upon mixing two dilute gases or solutions. (i) Consider an initial state in which N 1 molecules of one type are confined to a region of volume V 1 , and N 2 molecules of a different type are confined to a separate region of volume V 2 . Calculate the entropy of this state. (You may ignore contributions that are independent of volume.) (ii) In the final state the two types of molecules are allowed to mix within the combined region of volume V 1 + V 2 . Calculate the entropy of this state (again ignoring contributions independent of volume). (iii) Calculate the change in entropy per molecule, Δ S mix / ( N 1 + N 2 ) for the specific case in which
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