A Carnot heat pump is to be used to heat a house and maintain it at 25 °C in winter. On a...

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 6.6 kW of power while operating, determine (a) how long the heat pump ran on that day; (b) the total hearing costs, assuming an average price of 8.50ɸkWh for electricity; and (c) the heating cost for the same day if resistance heating is used instead of a heat pump.