An internally reversible heat engine (power cycle) operates between reservoir temperatures of 397℃ and 7℃, and the heat rejection rate is 2kW. The total net work output of the engine is used to drive an internally reversible heat pump, which is supplied by heat transfer at 7℃ and rejects heat at a temperature of 40℃. Determine a) The efficiency of the reversible heat engine and the COP of the reversible heat pump (6 points) b) The power output of the heat engine, in kW (6 points) c) The heat supplied to the heat pump, in kW (6 points) d) An overall COP for the combined device, which is defined as the energy delivered to the home divided by the initial energy supplied to the heat engine (4 points)