3) A Carnot cycle run backwards (counter-clockwise) is an ideal refrigerator. He

Question

3) A Carnot cycle run backwards (counter-clockwise) is an ideal refrigerator. Here a heat pump does work W on the system, in order to extract a quantity of heat Qc from a cold reservoir Tc (the interior of the refrigerator) and expel a quantity of heat QH into a hot reservoir TH (the room). The figure of merit for the efficiency of a refrigerator is the coefficient of performance K, defined as the magnitude of heat extracted |Qc| to the magnitude of work done |W|. (a) Show that for a Carnot refrigerator, K= Tc | (TH - Tc). (b) Find the work that an ideal freezer must do to freeze 1 kg of water initially at room temperature, assuming that the interior of the freezer is maintained at and the room is at.

Explanation / Answer

a)W = QH

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