Problem\#3 (Marks =10 ) [Answer in the space provided, show important calculation steps] An air conditioner operating at steady state maintains a dwelling at 20C on a day when the outside temperature is 35C. Energy is removed by heat transfer from the dwelling at a rate of 3kW while the air conditioner's power input is 1kW. Calculate the coefficient of performance of the air conditioner based on the Carnot refrigeration cycle. Calculate the power input required by a reversible refrigeration cycle removing the 3kW of heat rate from the dwelling while operating between hot and cold reservoirs at 35C and 20C., respectively