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(B) The coefficient of performance $(COP)$ of a refrigerator is defined as the ratio of heat extracted from the cold reservoir $(Q_2)$ to the work don

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Because it violates the Second Law of Thermodynamics.

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(B) The coefficient of performance $(COP)$ of a refrigerator is defined as the ratio of heat extracted from the cold reservoir $(Q_2)$ to the work done on the system $(W)$: $COP = Q_2 / W$.According to the Second Law of Thermodynamics,it is impossible to transfer heat from a cold body to a hot body without the expenditure of external work $(W > 0)$.If the $COP$ were infinite,it would imply that $W = 0$ for a finite amount of heat extraction $(Q_2 > 0)$,which means heat is being transferred from a cold body to a hot body without any external work.This process would violate the Clausius statement of the Second Law of Thermodynamics,which states that heat cannot spontaneously flow from a colder body to a hotter body without external work.Therefore,the $COP$ of a refrigerator can never be infinite.

Why can the coefficient of performance of a refrigerator never be infinite?

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