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Second Law of Thermodynamics

A Carnot engi...

Question

A Carnot engine operates between a cold temperature reservoir of 27 $^{o}$ C and a high temperature reservoir of 127 $^{o}$ C. Its efficiency is ?

A

21

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B

25

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C

75

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D

79

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Solution

The correct option is B 25
The efficiency of a Carnot cycle engine is given by $ε_{c}$ where $T_{c}$ and $T_{h}$ (in kelvins) are the temperatures of the cold and hot reservoirs, respectively.
$ε_{c} = 1 - \frac{T_{c}}{T_{h}} = 1 - \frac{300 K}{400 K} = 0.25 = 25$

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