A dwelling for which the heat transfer rate through the walls is 1400 Btu/h per degree temperature difference between the inside and outside is to be maintained at 68F. For a day when the outside temperature is 28F, determine the power required, in kW, to heat the house using electrical resistance elements and compare with the minimum theoretical power that would be required by a heat pump. Repeat the comparison considering an actual heat pump with a coefficient of performance of 3.