The Carnot EngineA Carnot engine has an efficiency of 0.60 and the temperature of its cold reservoir is 300 K. (a) What is the temperature of the hot reservoir? (b) If the engine does 300 J of work per cycle, how much heat is removed fromthe high-temperature reservoir per cycle? (c) How much heat is exhausted to the low-temperature reservoir per cycle?StrategyFrom the temperature dependence of the thermal efficiency of the Carnot engine, we can find the temperature of the hot reservoir. Then, from the definition of the efficiency, we can find the heat removed when the workdone by the engine is given. Finally, energy conservation will lead to how much heat must be dumped to the cold reservoir.
The Carnot Engine
A Carnot engine has an efficiency of 0.60 and the temperature of its cold reservoir is 300 K. (a) What is the temperature of the hot reservoir? (b) If the engine does 300 J of work per cycle, how much heat is removed from
the high-temperature reservoir per cycle? (c) How much heat is exhausted to the low-temperature reservoir per cycle?
Strategy
From the temperature dependence of the thermal efficiency of the Carnot engine, we can find the temperature of the hot reservoir. Then, from the definition of the efficiency, we can find the heat removed when the work
done by the engine is given. Finally, energy conservation will lead to how much heat must be dumped to the cold reservoir.
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