Thermodynamics Question 287
Question: If the co-efficient of performance of a refrigerator is 5 and operates at the room temperature $ $ the temperature inside the refrigerator is
Options:
A) 240 K
B) 250 K
C) 230 K
D) 260 K
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Here, Coefficient of performance $ (\beta )=5 $
$ T _{1}=27{}^\circ \text{C=}( 27+273 )K=300K $
$ \text{As, }\beta =\frac{T _{2}}{T _{1}-T _{2}}\Rightarrow 5=\frac{T _{2}}{300-T _{2}} $
$ \text{or }1500-5T _{2}=T _{2}\text{ or }6T _{2}=1500 $
$ \therefore T _{2}=\frac{1500}{6}=250K $
