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As a engineer, you are designing a heat pump that is capable of delivering heat at the rate of 22 kW to a house. The house is located where, in January, the average temperature is ?10°C. The temperature of the air in the air handler inside the house is to be 41°C.

(a) What is the maximum COP for a heat pump operating between these temperatures?

(b) What must be the minimum power of the electric motor driving the heat pump be?

(c) In reality, the COP of the heat pump will only be 60 percent of the ideal value. What is the minimum power of the electric motor when the COP is 60 percent of the ideal value?

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