Thermodynamics Question 289

Question: A Carnot engine whose efficiency is 50% has an exhaust temperature of 500 K. If the efficiency is to be 60% with the same intake temperature, the exhaust temperature must be (in K)

Options:

A) 800

B) 200

C) 400

D) 600

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ \eta =1-\frac{T _{1}}{T _{2}}\text{ or }\frac{50}{100}=1-\frac{500}{T _{1}}\Rightarrow T _{1}=1000K $

Also, $ \frac{60}{100}=1-\frac{T _{2}}{1000}\Rightarrow T _{2}=400K $



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