Thermodynamics - Result Question 48

50. The temperature of source and sink of a heat engine are $127^{\circ} C$ and $27^{\circ} C$ respectively. An inventor claims its efficiency to be $26 %$, then:

(a) it is impossible

[2001]

(b) it is possible with high probability

(c) it is possible with low probability

(d) data are insufficient.

Show Answer

Answer:

Correct Answer: 50. (a)

Solution:

(a) $\eta=1-\frac{300}{400}=\frac{100}{400}=\frac{1}{4} \eta=\frac{1}{4} \times 100=25 %$

Hence, it is not possible to have efficiency more than $25 %$.