First slide

Heat Engine; Carnot Engine and refrigerator

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

$2 η$
B

$\frac{η}{2}$
C

$3 η$
D

$η$

Solution

$\begin{array}{l} η_{1} = 1 - \frac{T_{2}}{T_{1}} \\ η_{2} = 1 - \frac{2 T_{2}}{2 T_{1}} = 1 - \frac{T_{2}}{T_{1}} = η_{1} \end{array}$

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