5. (15 points) A Carnot heat pump is used to maintain a house at 20 °C in winter and consumes 8kW of power (electricity) when operating. On a day temperature

outside the house is -3 °C, the house is estimated to lose heat at an average rate of 80,000 kJ/h. (5a). (2p) Please identify the hot reservoir and the cool reservoir of this heat pump. (5b). (2p) Please draw of schematic diagram of this heat pump-house heating system with all known information clearly presented, and calculate the coefficient of performance (COP) of this heat pump. (5c). (3p) How long does the heat pump have to run to maintain the house at 20 °C on that day (during a period of 24 hours)?