Consider the following idealized heat engine:| Th Qn Wout

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Consider the following idealized heat engine:|
Th
Qn Wout
Q. ]
T.
Here, the box labeled Tħ corresponds to a thermal reservoir at temperature Th, the box
labeled Tc is also a thermal reservoir at a lower temperature Tc< Th. During one cycle of the
engine, an amount of heat Qn flows from the hot thermal reservoir, the engine does a
positive amount of work Wout and an amount of heat Qc flows into the cold thermal
reservoir. (With this convention, Qh, Qc, and Wout are all positive quantities.)
Calculate the following quantities.
Give your answers in terms of Qh, Th, and Tc. (Advice: be careful of your signs.)
1. Qc+ Wout
2. The entropy change of the hot thermal reservoir.
3. Assume that no work is done (Wout = 0). What is the entropy change of the total
engine + reservoir system?
4. What is the maximum work Woutmax that can be extracted from this engine? Briefly
discuss the origin of this limitation.
Transcribed Image Text:Consider the following idealized heat engine:| Th Qn Wout Q. ] T. Here, the box labeled Tħ corresponds to a thermal reservoir at temperature Th, the box labeled Tc is also a thermal reservoir at a lower temperature Tc< Th. During one cycle of the engine, an amount of heat Qn flows from the hot thermal reservoir, the engine does a positive amount of work Wout and an amount of heat Qc flows into the cold thermal reservoir. (With this convention, Qh, Qc, and Wout are all positive quantities.) Calculate the following quantities. Give your answers in terms of Qh, Th, and Tc. (Advice: be careful of your signs.) 1. Qc+ Wout 2. The entropy change of the hot thermal reservoir. 3. Assume that no work is done (Wout = 0). What is the entropy change of the total engine + reservoir system? 4. What is the maximum work Woutmax that can be extracted from this engine? Briefly discuss the origin of this limitation.
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