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Question

What is the coefficient of performance of a refrigerator that operates with Carnot efficiency between temperatures $$-3.00^0C$$ and $$+27.0^0C$$?


Solution

Given Data

$$T_{c}=-3^{\circ} \mathrm{C}=270 \mathrm{K} $$
$$T_{h}=27^{\circ} \mathrm{C}=300 \mathrm{K}$$

We are asked to find the Carnot COP of the refrigerator.

The Carnot COP of the refrigerator is found from Equation 

$$\mathrm{COP}_{\mathrm{C}}=\dfrac{T_{c}}{T_{h}-T_{c}}$$

Substitute numerical values:

$$\mathrm{COP}_{\mathrm{C}} =\dfrac{270}{300-270} $$

$$\mathrm{COP}_{\mathrm{C}}= 9$$


Physics

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