First slide

Heat engine

Question

A heat engine operates between 2100 K and 700 K. Its actual efficiency is 40%. What percentage of its maximum possible efficiency is this?

Moderate

A

55%
B

60%
C

70%
D

80%

Solution

$η_{\max} = 1 - \frac{T_{L}}{T_{H}} = 1 - \frac{700}{2100} = \frac{2}{3}$
$η_{\max} = \frac{2}{3} \times 100 % = 66 %$
Actual efficiency is 40% which is 60% of the theoretical efficiency.

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