A Carnot heat engine operates between a heat source at 1200 K and the environment at 300 K. The net work produced by the engine is used to power a Carnot refrigerator which removes heat from a cooled space at -20C at a rate of 320 kJ/min and rejects it to the same environment at 300 K. Determine
a) the net work supplied to the refrigerator,
b) the heat supplied by the heat source of the heat engine,
c) the heat rejected by the refrigerator, and
d) the total heat rejected by the engine and the refrigerator.