An air conditioner operating at steady state maintains a dwelling at 20oC on a day when the outside temperature is 35oC. 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 35oC and 20oC, respectively.