First slide

Heat engine

Question

A carnot engine is made to work first between 200k and 100k and then between 400k and 200k. The ratio of efficiencies $η_{2} / η_{1}$ in two cases is

Moderate

A

1 : 15
B

1 : 1
C

1 : 2
D

1.73 : 1

Solution

$η_{2} = 1 - \frac{200}{400} = \frac{1}{2} and η_{1} = 1 - \frac{100}{200} = \frac{1}{2} ∴ \frac{η_{2}}{η_{1}} = 1$

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