The fundamental limitation to the coefficient | vedclass

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Question

(D) The coefficient of performance $(COP)$ of a refrigerator is defined as the ratio of the heat extracted from the cold reservoir $(Q_L)$ to the work

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second law of thermodynamics

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(D) The coefficient of performance $(COP)$ of a refrigerator is defined as the ratio of the heat extracted from the cold reservoir $(Q_L)$ to the work input $(W)$.$COP = \frac{Q_L}{W} = \frac{Q_L}{Q_H - Q_L}$.According to the second law of thermodynamics,heat cannot spontaneously flow from a colder body to a hotter body without the expenditure of external work.This law imposes a theoretical upper limit on the efficiency of heat engines and the $COP$ of refrigerators (Carnot limit).Therefore,the fundamental limitation to the $COP$ of a refrigerator is governed by the second law of thermodynamics.

The fundamental limitation to the coefficient of performance of a refrigerator is given by

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