A heat pump delivers 34.0 kW to heat a house. The outside temperature is -9.0°C and the inside temperature of the hot-air supply for the heating fan is44.0°C. What is the coefficient of performance of a Carnot heat pump operating among these temperatures? Note that a heat pump is like a refrigerator by the output of the hot reservoir serving as the source of heat.
What should be the minimum power of the engine needed to run the heat pump?
If the efficiency is 70.0% of a Carnot engine, what should be the minimum power of the pump?