First slide

Heat Engine; Carnot Engine and refrigerator

Question

Calculate the coefficient of performance of a refrigerator working between ${-10}^{o} c$ to $20^{o} c$ is

Moderate

A

6.77
B

7.77
C

8.77
D

10.77

Solution

${temperature of source is T}_{1} =20+273=293 K (converting into kelvin scale) t e m p e r a t u r e o f \sin k i s T_{2} =-10+273=263 K$
For Refrigerator
$\begin{array}{rcl} coefficient of performance is β= \frac{T_{2}}{T_{1} {-T}_{2}} \\ s u b s t i t u t e t h e g i v e n v a l u e s \\ β & = & \frac{263}{293 - 263} = \frac{263}{30} \\ β=8.77 \end{array}$

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