A heat pump delivers 20 kW to heat a house. The outside temperature is 10 o C

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A heat pump delivers 20 kW to heat a house. The outside temperature is –10oC and the inside temperature of the hot-air supply for the heating fan is 40oC.

(a) What is the coefficient of performance of a Carnot heat pump operating between these temperatures?

(b) What must be the minimum power of the engine needed to run the heat pump?

(c) If the COP of the heat pump is 60% of the efficiency of an ideal pump, what must the minimum power of the engine be?

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