The inventor decides to lower the temperature of the low-temperature reservoir using a Carnot refrigerator. This refrigerator is powered by the heat engine itself, not an external source, consuming part of the work output of the heat engine. Let the high temperature reservoir be at Th, the original low temperature reservoir be at T₁, and the even-lower temperature achieved by the refrigerator be Tr a) Find the ratio of the net (available) work to the heat Qh supplied by the high-temperature reservoir. [You do not need to worry about the process of lowering part of the reservoir to Tr. Assume that this has already been done, and the Carnot refrigerator only needs to remove as much heat from the T, reservoir as the heat engine is supplying.] b) It is possible to obtain a higher net efficiency this way?

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter45: Domestic Refrigerators And Freezers
Section: Chapter Questions
Problem 12RQ: Refrigerators currently being manufactured in the United States are using______as their refrigerant.
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The inventor
decides to lower the temperature of the low-temperature reservoir using a Carnot refrigerator.
This refrigerator is powered by the heat engine itself, not an external source, consuming part of
the work output of the heat engine. Let the high temperature reservoir be at Th, the original low
temperature reservoir be at T₁, and the even-lower temperature achieved by the refrigerator be Tr.
a) Find the ratio of the net (available) work to the heat Qh supplied by the high-temperature
reservoir. [You do not need to worry about the process of lowering part of the reservoir to Tr.
Assume that this has already been done, and the Carnot refrigerator only needs to remove as
much heat from the T, reservoir as the heat engine is supplying.]
b) It is possible to obtain a higher net efficiency this way?
Transcribed Image Text:The inventor decides to lower the temperature of the low-temperature reservoir using a Carnot refrigerator. This refrigerator is powered by the heat engine itself, not an external source, consuming part of the work output of the heat engine. Let the high temperature reservoir be at Th, the original low temperature reservoir be at T₁, and the even-lower temperature achieved by the refrigerator be Tr. a) Find the ratio of the net (available) work to the heat Qh supplied by the high-temperature reservoir. [You do not need to worry about the process of lowering part of the reservoir to Tr. Assume that this has already been done, and the Carnot refrigerator only needs to remove as much heat from the T, reservoir as the heat engine is supplying.] b) It is possible to obtain a higher net efficiency this way?
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