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Internal Energy

A heat engine...

Question

A heat engine works between a source and a sink maintained at constant temperatures $T_{1}$ and $T_{2}$ . For the efficiency to be greatest ,

A

T_{1}

and

T_{2}

should be high

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B

T_{1}

and

T_{2}

should be low

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C

T_{1}

should be high and

T_{2}

should be low

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D

T_{1}

should be low and

T_{2}

should be high

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Solution

The correct option is D $T_{1}$ should be high and $T_{2}$ should be low
Efficiency of a heat engine $(η) = 1 - \frac{T_{2}}{T_{1}}$

For the efficiency to be maximum, the value of the fraction has to be minimum.

This is possible when $T_{2}$ is lower and $T_{1}$ is higher.

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