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The coefficient of performance of a refrigerator is 5. If the temperature inside freezer is $- 20^{0} C$ , the temperature of the surroundings to which it rejects heat is about

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$11^{0} C$

$21^{0} C$

$31^{0} C$

$41^{0} C$

answer is C.

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Detailed Solution

$β = \frac{T_{2}}{T_{1} - T_{2}}$

$5 = \frac{253}{T_{1} - 253}$

$5 T_{1} - 5 \times 253 = 253$

$T_{1} = 31^{o} C$

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