The following scenarios apply to the carnot engine or the, Ask an Expert

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The following scenarios apply to the Carnot engine or the Carnot refrigerator:

a. A Carnot heat engine operates between reservoirs at T_H = 1,740 K and T_C = 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.

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