6. A Carnot heat engine receives heat at 800 K and rejects the waste heat at 350 K. Seventy five

percent of work output from the heat engine is used to power a Carnot refrigerator that removes

heat from the -20 °C cold space at a rate of 400 kJ/min and rejects heat to the same reservoir as

the heat engine, at 350 K. Determine the rate at which heat supplied to the heat engine, and the

total rate of heat rejected to the 300 K environment. (Watch "Combined Analysis -2")