First slide

Heat engine

Question

An ideal heat engine is working between a source and a sink. The temperatures are raised by 100 K each, the new efficiency of the heat engine will be

Moderate

A

equal to $Î·$
B

greater than $Î·$
C

less than $Î·$
D

greater or less than $Î·$ depending upon the nature of the working substances

Solution

$Î· = \frac{T_{1} â T_{2}}{T_{1}} {Î·}^{â²} = \frac{(T_{1} + 100) â (T_{2} + 100)}{(T_{1} + 100)} = \frac{T_{1} â T_{2}}{(T_{1} + 100)} â´ {Î·}^{â²} < Î·$

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