Answer to Question #5807 in Molecular Physics | Thermodynamics for toyston

Question #5807
In each cycle of a Carnot engine, 116 J of heat is absorbed from the high-temperature reservoir and 51 J is exhausted to the low temperature reservoir. What is the efficiency of the engine?
1
Expert's answer
2011-12-27T12:55:18-0500
The efficiency of the engine is defined to be:
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
where
W is the work done by the system (energy exiting the system as work),
QH is the heat put into the system (heat energy entering the system),
QC is the heat exhausted to the low-temperature reservoir.

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