Q. 34

Expert-verifiedFound in: Page 596

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

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

Therefore,

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

**Conclusion :**

** **Refrigerator coefficient of performance is .

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