A Carnot heat pump is to be used to heat a house and maintain it at 25∘∘C in winter. On a day when the average outdoor temperature remains at about 2∘∘C, the house is estimated to lose heat at a rate of 55,000 kJ/h. If the heat pump consumes 4.8 kW of power while operating, determine
a) how long the heat pump ran on that day;
b) the total heating costs, assuming an average price of $0.11/kWh for electricity;
c) the heating cost for the same day if resistance heating is used instead of a heat pump.
a) 5.90 h,