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What are the coefficient of performance of the Carnot refrigerator and the thermal efficiency of the Carnot engine?

A Carnot refrigerator removes energy at a rate of 300 Btu/hr from a low-temperature thermal reservoir at −160 F. The high-temperature reservoir for the refrigerator is the atmosphere at 40 F. A Carnot engine operating between a reservoir at 1140 F and the atmosphere (40 F) drives this Carnot refrigerator.

A. At what rate must heat be supplied (Btu/hr) to the Carnot engine from the 1140-F reservoir?

B. What is the power input to the Carnot refrigerator (Btu/hr)?

C. What are the coefficient of performance of the Carnot refrigerator and the thermal efficiency of the Carnot engine?

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