An ideal heat engine working between temperatures TH and TL has an efficiency - - If both the temperatures are raised by 100 K each- the new efficiency of the heat engine will be -

The correct option is C less than η The efficiency of a heat engine is given by, η = T_H T_LT_H Increasing both the temperatures by 100, η ' = ...

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Standard XII

Chemistry

Internal Energy

An ideal heat...

Question

An ideal heat engine working between temperatures $T_{H}$ and $T_{L}$ has an efficiency $η$ . If both the temperatures are raised by 100 K each, the new efficiency of the heat engine will be :

equal to

η

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greater than

η

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less than

η

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greater or less than

η

depending upon the nature of the working substance.

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Solution

The correct option is C less than $η$
The efficiency of a heat engine is given by,
$η = \frac{T_{H} - T_{L}}{T_{H}}$
Increasing both the temperatures by 100,
$η^{'} = \frac{T_{H} - T_{L}}{T_{H} + 100}$
Thus, the efficiency will effectively decrease.

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An ideal heat engine working between temperatures TH and TL has an efficiency η . If both the temperatures are raised by 100 K each, the new efficiency of the heat engine will be :

The correct option is C less than ηThe efficiency of a heat engine is given by,η=TH−TLTHIncreasing both the temperatures by 100,η′=TH−TLTH+100Thus, the efficiency will effectively decrease.

An ideal heat engine working between temperatures $T_{H}$ and $T_{L}$ has an efficiency $η$ . If both the temperatures are raised by 100 K each, the new efficiency of the heat engine will be :

The correct option is C less than $η$
The efficiency of a heat engine is given by,
$η = \frac{T_{H} - T_{L}}{T_{H}}$
Increasing both the temperatures by 100,
$η^{'} = \frac{T_{H} - T_{L}}{T_{H} + 100}$
Thus, the efficiency will effectively decrease.