It is desired to maintain the cold box of a refrigerator at 0 C by removing 1000 kJ/h of heat. The refrigerator rejects heat to the atmosphere at 24 C. The work to run the refrigerator is supplied by a heat engine that has a high temperature heat source at 282 C and rejects heat to the environment at 27C. Determine the rate of heat transfer to theheat engine if both devices are reversible and all of the power output from the heat engine is used to supply the refrigerator