Refrigerators: An ideal reversible refrigerator keeps its inside compartment at 9.0°C. What is the high temperature, T_h, needed to give this refrigerator a coefficient of performance of 3.7? A) 85°C B) 1052°C C) 11°C D) 42°C

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Quizplus · Accepted Answer

The coefficient of performance of a refrigerator is given by COP = Th / (Th - Tc), where Th is the high temperature and Tc is the low temperature. We are given that COP = 3.7 and Tc = 9.0°C, so we can solve for Th:Th = COP * (Th - Tc)Th = 3.7 * (Th - 9.0°C)Th = 3.7 * Th - 33.3°C2.7 * Th = 33.3°CTh = 33.3°C / 2.7Th = 12.3°CTherefore, the high temperature needed to give this refrigerator a coefficient of performance of 3.7 is 12.3°C.

Refrigerators: an Ideal Reversible Refrigerator Keeps Its Inside Compartment at 9.0°C