First slide

Heat engine

Question

An engine is supposed to operate between two reservoirs at temperature $727^{0} C and 227^{0} C$ . The maximum possible efficiency of such an engine is

Moderate

A

$\frac{1}{2}$
B

$\frac{1}{4}$
C

$\frac{3}{4}$
D

1

Solution

$η_{A} = \frac{T_{1} - T_{2}}{T_{1}} = \frac{(273 + 727) - (273 + 227)}{273 + 727}$
$= \frac{1000 - 500}{1000} = \frac{1}{2}$

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