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Internal Energy

The Carnot ef...

Question

The Carnot efficiency of a heat engine is $75$ %.
If heat is taken in at a temperature of $800 K$ , at what temperature is it expelled?

A

600 K

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B

1067 K

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C

200 K

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D

1000 K

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E

100 K

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Solution

The correct option is C $200 K$
Temperature of source $T_{H} = 800$ K
Efficiency of the Carnot engine $η = 0.75$
Using $η = 1 - \frac{T_{L}}{T_{H}}$
$∴$ $0.75 = 1 - \frac{T_{L}}{800}$ $⟹ T_{L} = 200$ K

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