A Carnot heat engine receives 90 kJ from a reservoir at 627 . It rejects heat to the environment at 27 . One-fifth of its work output is used to drive a Carnot refrigerator. The refrigerator rejects 60 kJ to the environment at 27 . Find (a) the work output of the heat engine, (b) the efficiency of the heat engine, (c) the temperature of the low temperature reservoir for the refrigerator, in degrees Celsius, and (d) the COP of the refrigerator.