A Carnot heat engine with thermal efficiency is run backward as a Carnot refrigerator. What is the refrigerator’s coefficient of performance?
Refrigerator's coefficient of performance will be 2.
The efficiency of Carnot engine
Formula used :
We know that the thermal efficiency of heat engine is the ratio of the work done by the engine to the heat drawn out of the hot reservoir.
Here, is the temperature of the hot reservoir that is source and is the temperature of cold reservoir i.e. sink. The efficiency is given by
Coefficient of performance of refrigerator is defined as the reciprocal of the ideal efficiency of the Carnot engine, where k is the coefficient of performance of a refrigerator.
Substituting the value of in above equation, the coefficient of performance of a refrigerator is calculated as
Substituting the value of in the above equation
Refrigerator coefficient of performance is .
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