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A Carnot engine operates between two heat reservoirs at

Chapter 20, Problem 53P

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QUESTION:

A Carnot engine operates between two heat reservoirs at temperatures TH and TC. An inventor proposes to increase the efficiency by running one engine between TH and an intermediate temperature T and a second engine between T and TC, using as input the heat expelled by the first engine. Compute the efficiency of this composite system, and compare it to that of the original engine.

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QUESTION:

A Carnot engine operates between two heat reservoirs at temperatures TH and TC. An inventor proposes to increase the efficiency by running one engine between TH and an intermediate temperature T and a second engine between T and TC, using as input the heat expelled by the first engine. Compute the efficiency of this composite system, and compare it to that of the original engine.

ANSWER:

Solution 53P Step 1 of 3: W 1W 2 The efficiency of the composite engine is e 12 = Q H1 Where Q H1 is the heat input to the first engine and W and W are the work outputs of two engines 1 2 For any heat engine,W = Q + Q C H For any carnot engine, Qlow= Tlow Q High T high Where Q lowand Q highare the heat flows at the two reservoirs that have temperatures T low and T high

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