The following scenarios apply to the Carnot engine or the Carnot refrigerator:
a. A Carnot heat engine operates between reservoirs at TH = 1,740 K and TC = 150 K. In each cycle, 260 J of heat energy is rejected to the low temperature reservoir. In each cycle, how much mechanical work W is performed by the engine?
b. A Carnot refrigerator takes heat from water at 0 oC and rejects heat to a room at 20 oC. Suppose that 78 g of water at 0 oC are converted to ice at 0 oC by the refrigerator. What is the mechanical energy that must be supplied to the refrigerator? (Note: The heat of fusion of water is L = 3.34 x 105 J/kg.)
c. A Carnot engine is operated between a hot and a cold reservoir. The temperature difference between the two reservoirs is 284 oC. If the efficiency of this ideal engine is 24.0%, find the temperature of the cold reservoir in oC.