8 Thermodynamics (MECH.2420) 1. The temperature inside a house in Massachusetts is maintained at 65 oF in winter thanks to a heat pump. The house losses an average rate of heat of 55000 BTU/h when the average outdoor temperature is 28 oF. If the heat pump consumes 6 hp while operating, and assuming that the heat pump has the maximum possible performance, determine: (a) how many hours [h] does the heat pump run in that day; (b) the total heating cost in that day [$] assuming a price of electricity of 22 /kWh; and (c) the heating cost [$] for the same day if resistance heating is used instead of a heat pump