Obtain an expression for the coefficient of performance of a refrigera

1.	Obtain an expression for the coefficient of performance of a refrigerator.
Answer» A refrigerator transfers heat from a body at lower temperature to a body at higher temperature by doing work on it. If Q₂ is the heat absorbed from body at temperature T₂(sink) and Q₁is the heat liberated by the refrigerator to a body at temperature T₂ (source) then work done by there refrigerator, W = Q₁– Q₂ ∴ The coefficient of performance, α = \(\frac{Q_2}{W}\) = \(\frac{Q_2}{Q_1-Q_2}\) \(=\frac{T_2}{T_1-T_2}.\)

Obtain an expression for the coefficient of performance of a refrigerator.

Answer»

A refrigerator transfers heat from a body at lower temperature to a body at higher temperature by doing work on it. If Q₂ is the heat absorbed from body at temperature T₂(sink) and Q₁is the heat liberated by the refrigerator to a body at temperature T₂ (source) then work done by there refrigerator,

W = Q₁– Q₂

∴ The coefficient of performance,

α = \(\frac{Q_2}{W}\)

= \(\frac{Q_2}{Q_1-Q_2}\)

\(=\frac{T_2}{T_1-T_2}.\)

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Obtain an expression for the coefficient of performance of a refrigerator.

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