At steady state, a refrigeration cycle maintains a clean

Chapter 5, Problem 5.56

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At steady state, a refrigeration cycle maintains a clean room at \(55^{\circ} \mathrm{F}\) by removing energy entering the room by heat transfer from adjacent spaces at the rate of 0.12 Btu/s. The cycle rejects energy by heat transfer to the outdoors where the temperature is \(80^{\circ} \mathrm{F}\).

(a) If the rate at which the cycle rejects energy by heat transfer to the outdoors is 0.16 Btu/s, determine the power required, in Btu/s.

(b) Determine the power required to maintain the clean room’s temperature by a reversible refrigeration cycle operating between cold and hot reservoirs at \(55^{\circ} \mathrm{F}\) and \(80^{\circ} \mathrm{F}\), respectively, and the corresponding rate at which energy is rejected by heat transfer to the outdoors, each in Btu/s.

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