A heat pump (working in a thermodynamic cycle mode) is to be used to heat a house during the winter. The house is to be maintained at 294 K at all times. The house is estimated to be losing heat at a rate of 135,000 kJ/h when the outside temperature drops to 268 K. If the heat pump under these conditions has a coefficient of performance of 4,
(a) Determine the power required to drive this heat pump
(b) Determine the rate at which heat is absorbed from the cold outdoor air.