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Question

The efficiency of a Carnot heat engine is 13. Find the coefficient of performance of Carnot refrigerator when both heat engine and refrigerator are working between similar source and sink.

A
2
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B
3.25
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C
4
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D
7.1
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Solution

The correct option is A 2
Here same source and sink have been used for the heat engine and refrigerator both, hence the same Carnot engine is involved for both cases.
Efficiency of heat engine is,
η=13
The relation between β & η when same Carnot engine is used,
β=1ηη
β=11313=2

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