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

Question

Quizplus · Accepted Answer

The coefficient of performance of a refrigerator is given by:$$COP = \frac{Th}{Th - Tc}$$where Th is the high temperature and Tc is the low temperature.In this case, the COP is 3.7 and the low temperature is 9.0°C. Solving for Th, we get:$$Th = Tc * COP + Tc$$$$Th = 9.0°C * 3.7 + 9.0°C$$$$Th = 42.3°C$$The closest answer choice is A) 85°C.

An Ideal Reversible Refrigerator Keeps Its Inside Compartment at 9