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Question: Answered & Verified by Expert
An ideal refrigerator has a freezer at a temperature of $13^{\circ} \mathrm{C}$. The coefficient of performance of the engine is $5 .$ The temperature of the air (to which heat is rejected) is
PhysicsThermodynamicsBITSATBITSAT 2010
Options:
  • A $320^{\circ} \mathrm{C}$
  • B $39^{\circ} \mathrm{C}$
  • C $325 \mathrm{~K}$
  • D $325^{\circ} \mathrm{C}$
Solution:
2064 Upvotes Verified Answer
The correct answer is: $39^{\circ} \mathrm{C}$
$\mathrm{T}_{2}=273-13=260$,
$$
\mathrm{K}=\frac{\mathrm{T}_{2}}{\mathrm{~T}_{1}-\mathrm{T}_{2}} ; \quad 5=\frac{260}{\mathrm{~T}_{1}-260}
$$
or $\mathrm{T}_{1}-260=52 ; \quad \mathrm{T}_{1}=312 \mathrm{~K}$
$\mathrm{T}_{2}=312-273=39^{\circ} \mathrm{C}$

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