A Carnot heat engine receives heat at 800 K and rejects heat to the environment at 325 K. The entire work output from the heat engine is used to drive the Carnot refrigerator that removes heat from the cold space kept at -18 C at a rate of 275 kJ/min and rejects it to the same environment at 325 K. Determine the following:
1. The Carnot Coefficient of Performance for the refrigeration cycle
2. The Carnot efficiency for the Heat Engine
3. The rate of heat supplied to the heat engine
4. The rate of heat rejection to the environment (the 325 K environment)
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