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In a mechanical refrigerator, the low temperature coils are at a temperature of $-23^{\circ} \mathrm{C}$ and the compressed gas in the condenser has a temperature of $27^{\circ} \mathrm{C}$. The theoretical coefficient of performance is
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$5$
Coefficient of performance $K=\frac{T_2}{T_1-T_2}$
$=\frac{(273-23)}{(273+27)-(273-23)}=\frac{250}{300-250}=\frac{250}{20}=5$
$=\frac{(273-23)}{(273+27)-(273-23)}=\frac{250}{300-250}=\frac{250}{20}=5$
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