A house loses energy through the exterior walls and roof at a rate of 5 000 J/s = 5.00 kW when the interior temperature is 22.0°C and the outside temperature is "5.00°C. Calculate the electric power required to maintain the interior temperature at 22.0°C for the following two cases.
(a) The electric power is used in electric resistance heaters (which convert all of the energy transferred in by electrical transmission into internal energy).
(b) What If? The electric power is used to drive an electric motor that operates the compressor of a heat pump, which has a coefficient of performance equal to 60.0% of the Carnot-cycle value