At steady state, a heat pump provides energy by heat transfer at the rate of 25,000 Btu/h to maintain a dwelling at 70°F on a day when the outside temperature is 40°F. The power input to the heat pump is 2 hp.

Determine:

(a) the coefficient of performance of the heat pump.

(b) the coefficient of performance of a reversible heat pump operating between hot and cold reservoirs at 70°F and 40°F, respectively, and the corresponding rate at which energy would be provided by heat transfer to the dwelling for a power input of 2 hp.