At steady state, a heat pump provides energy by heat transfer at the rate of 25,000 btu/h to maintain a dwelling at 708f on a day when the outside temperature is 308f. the power input to the heat pump is 4.5 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 708f and 308f, respectively, and the corresponding rate at which energy would be provided by heat transfer to the dwelling for a power input of 4.5 hp