A refrigerator freezer compartment is maintained at a temperature of -15°F by removing heat at a rate of 4500 Btu/hr. The refrigerator is located in a room with a temperature of 75°F. The power input required to run the refrigerator is 1200 Btu/hr. (a) Calculate the COP for the refrigeration cycle. (b) Calculate the rate of heat transfer (Btu/hr) from the refrigerant to the room. (c) Calculate the power (Btu/hr) to run the cycle and the heat transfer rate (Btu/hr) from the refrigerant to the room if the refrigeration cycle was reversible. Assume that the heat transfer rate from the freezer compartment to the refrigerant is the same 4500 Btu/hr as for the actual cycle.