HSC Board

A Carnot refrigerator operates between 250K and 300K. Calculate its coefficient of performance.

The given data that we can list here are,

Hot reservoir temperature T₁ = 300K

Cold reservoir temperature T₂ = 250K

To find - Coefficient of performance K = ?

Solution -

Coefficient of performance K can be written as

$https://latex.codecogs.com/svg.image?K = \frac{T_{c}}{T_{h}-T_{c}} = \frac{T_{2}}{T_{1}-T_{2}}$

$https://latex.codecogs.com/svg.image?K = \frac{250}{300-250}$

K = 250/50 = 5

Coefficient of performance K for the refrigerator is 5

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