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What is the co- efficient of performan...

What is the co- efficient of performance `(beta)` or a carnot refrigerator working between `40^(@)` and `0^(@)C` ?

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Temperature `T_(1) = 40^(@)C = 273 + 40 = 313 K`
Coefficient of performance `(beta) = ?`
From the relation `beta = (T_(2))/(T_(1)-T_(2))`
`beta = (273 )/(313 - 273 ) = (273 )/(40)`
`beta = 6.82`
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