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Question
If the co-efficient of performance of a refrigerator is 5 and operates at the room temperature (27°C), find the temperature inside the refrigerator.
Solution
Given, the coefficient of performance (β) = 5
T1 = (27 + 273) K = 300 K, T2 = ?
Coefficient of performance (β) = `T_2/(T_1 - T_2)`
5 = `T_2/(300 - T_2)`
⇒ 1500 – 5T2 = T2
⇒ 6T2 = 1500
⇒ T2 = 250 K
⇒ T2 = (250 – 273)°C = – 23°C
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