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Carnot Cycle

The coefficie...

Question

The coefficient of performance of a carnot refrigerator is 5/3 .If the refrigerator operating at a intake temperature $- 23^{0} C$ then what will be the exhaust temperature?

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Solution

We know,
Coeficient of Perfoemance, $C O P = \frac{T_{L o w}}{T_{H i g h} - T_{L o w}}$
$\frac{5}{3} = \frac{273 - 23}{T_{H i g h} - (273 - 23)} ⟹ T_{H i g h} - 250 = 150 ⟹ T_{H i g h} = 400 K = 127 ° C$
is the exhaust temperature

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