Thermodynamics Ques 44
44. 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 $K$ )
[2002]
(a) $800$
(b) $200$
(c) $400$
(d) $600$
Show Answer
Answer:
Correct Answer: 44.(c)
Solution:
- (c) $ \eta=1-\frac{T_2}{T_1} \text{ or } \frac{50}{100}=1-\frac{500}{T_1}$
$ \Rightarrow T_1=1000$ $ K$
Also, $\frac{60}{100}=1-\frac{T_2}{1000} \Rightarrow T_2=400 $ $K$
BETA
