First slide

Heat engine

Question

An ideal heat engine working between temperature $T_{1}$ and $T_{2}$ has an efficiency $η$ , the new efficiency if both the source and sink temperature are doubled, will be

Moderate

A

$\frac{η}{2}$
B

$η$
C

2 $η$
D

3 $η$

Solution

In first case $η_{1} = \frac{T_{1} - T_{2}}{T_{1}}$
In second case $η_{2} = \frac{2 T_{1} - 2 T_{2}}{2 T_{1}} = \frac{T_{1} - T_{2}}{T_{1}} = η$

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