hw10_f10 - Physics 112, Fall 2010: Holzapfel Problem Set 10...

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Physics 112, Fall 2010: Holzapfel Problem Set 10 (5 Problems). Due Friday, November 19 , 5 PM Problem 1 : Cooling of a solid to T = 0 K a) Kittel 8.9 b) Repeat part (a) for a metal with a heat capacity given by C = aT 3 + bT . Problem 2 : Room air conditioner Kittel 8.6 Problem 3 : Photon Carnot Engine Kittel 8.3 Problem 4 : Total available work Two identical bodies, each characterized by a heat capacity at constant pressure C P , which is independent of temperature, are used as heat reservoirs for a heat engine. The bodies remain at constant pressure and undergo no changes of phase. Initially, their temperatures are T 1 and T 2 , respectively; finally, as a result of the operation of the heat engine, the bodies will attain a common final temperature T f . a) What is the total work W done by the engine? Express the answer in terms of C P , T 1 , T 2 , and T f . b) Use an argument based on entropy considerations to derive an inequality relating T f to the initial temper- atures T 1 and T 2
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hw10_f10 - Physics 112, Fall 2010: Holzapfel Problem Set 10...

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