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Question

What is the maximum thermal efficiency for a heat engine?


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Solution

The maximum thermal efficiency for a heat engine:

  1. The temperature difference between the hot and cold ends divided by the temperature at the hot end equals the greatest theoretical efficiency associated with a heat engine (which is impossible for a practical engine to achieve).
  2. The formula for thermal efficiency of a heat engine is written as nmax=TH-TCTH where THandTC are the absolute temperature of the hot and cold reservoirs.
  3. It is expressed on an absolute scale Kelvin.
  4. Hence the efficiency of a Carnot engine with a hot reservoir of boiling water and a cold reservoir of ice cold water is 1-(273/373)=0.27, converting just over a quarter of the heat energy into useful work.

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