An air conditioner operating at steady state maintains a

Chapter 5, Problem 5.59

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An air conditioner operating at steady state maintains a dwelling at \(20^{\circ} \mathrm{C}\) on a day when the outside temperature is \(35^{\circ} \mathrm{C}\). Energy is removed by heat transfer from the dwelling at a rate of 2800 J/s while the air conditioner’s power input is 0.8 kW. Determine (a) the coefficient of performance of the air conditioner and (b) the power input required by a reversible refrigeration cycle providing the same cooling effect while operating between hot and cold reservoirs at \(35^{\circ} \mathrm{C}\) and \(20^{\circ} \mathrm{C}\), respectively.

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