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Second Law of Thermodynamics

A Carnot engi...

Question

A Carnot engine has an efficiency of 40% when the sink temperature is $27^{o} C$ . The source temperature will be

A

100K

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B

300K

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C

500K

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D

700K

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Solution

The correct option is B 500K
Efficiency of a Carnot's cycle
$η = 1 - \frac{T_{c}}{T_{h}}$
$0.4 = 1 - \frac{300}{T_{h}}$
$T_{h} = \frac{300}{0.6} = 500 K$
Option C.

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