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A heat pump operating at steady state is driven by a 1-kW electric motor and provides heating for a building whose interior is to be kept at 20 C. On a day when the outside temperature is 0 C and energy is lost through the walls and roof at a rate of 60,000 kJ/h, would the heat pump suffice?

A heat pump operating at steady state maintains a dwelling at 70 F when the outside temperature is 40 F. The heat transfer rate through the walls and roof is 1300 Btu/h per degree temperature difference between the inside and outside. Determine the minimum theoretical power required to drive the heat pump, in horsepower.