Thermodynamics Question 156

Question: The temperature of sink of Carnot engine is $ 27^{o}C $ . Efficiency of engine is 25%. Then temperature of source is

[DCE 2002; CPMT 2002]

Options:

A) $ 227^{o}C $

B) $ 327^{o}C $

C) $ 127^{o}C $

D) $ 27^{o}C $

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Answer:

Correct Answer: C

Solution:

$ \eta =1-\frac{T _{2}}{T _{1}} $

Therefore $ \frac{25}{100}=1-\frac{300}{T _{1}} $

Therefore $ \frac{1}{4}=1-\frac{300}{T _{1}} $

$ T _{1}=400K=127{}^\circ C $



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