An ideal heat engine working between temperatures T1 and T2 has an efficiency - - The new efficiency if the temperatures of both the source and sink are doubled- will be

The correct option is B η Efficiency of heat engine η=outputinput=T_1 T_2T_1 —— (a)Now new efficiency of heat engine when sin and source temperature i ...

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Standard XII

Physics

Carnot Cycle

An ideal heat...

Question

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

\frac{η}{2}

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2 η

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3 η

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Solution

The correct option is B $η$
Efficiency of heat engine $η = \frac{o u t p u t}{i n p u t} = \frac{T_{1} - T_{2}}{T_{1}}$ -------(a)
Now new efficiency of heat engine when sin and source temperature is doubled $η_{n e w} = \frac{2 T_{1} - 2 T_{2}}{2 T_{1}}$
$η_{n e w} = 2 \frac{T_{1} - T_{2}}{2 T_{1}} = η$ from a

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An ideal heat engine working between temperatures T1 and T2 has an efficiency η . The new efficiency if the temperatures of both the source and sink are doubled, will be

The correct option is B ηEfficiency of heat engine η=outputinput=T1−T2T1-------(a)Now new efficiency of heat engine when sin and source temperature is doubledηnew=2T1−2T22T1ηnew=2T1−T22T1=η from a

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