First slide

Heat engine

Question

In a mechanical refrigerator, the low temperature coils are at a temperature of $- 23^{0} C$ and the compressed gas in the condenser has a temperature of $27^{0} C$ . The theoretical coefficient of performance is

Moderate

A

5
B

8
C

6
D

6.5

Solution

Coefficient of performance K = $\frac{T_{1}}{T_{1} - T_{2}}$
= $\frac{(273 - 23)}{(273 + 27) - (273 - 23)} = \frac{250}{300 - 250} = \frac{250}{20} = 5$

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