phys4145 - 1 PHYS 414: Homework 6 This homework due...

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1 PHYS 414: Homework 6 This homework due Wednesday March 7 1. A Carnot engine is connected to thermal reservoirs at temperatures T 2 and T 1 through two identical thermal resistors R. [The heat current J passing through a thermal resis- tor R connecting two points differing in temperature by Δ T is given by J = Δ T/R .] (a) (2 points) At what output power P does the engine have its maximum possible efficiency? (b) (2 points) What is the maximum possible efficiency that this engine could have? (c) (2 points) What is the maximum possible output power P that can be extracted using this engine? (d) (2 points) What is the efficiency η of this engine when it is producing the maximum possible power? (e) (2 points) At what rate is entropy being created by this engine when it is producing the maximum possible power? 2. (6 points) An evacuated container of volume V is initially thermally isolated from its surroundings, and is initially at temperature T 0 , which is neither very small nor very large. The container has negligible heat capacity, so the heat energy of the system
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phys4145 - 1 PHYS 414: Homework 6 This homework due...

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