Thermodynamics - Result Question 18
19. During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of $\frac{C_p}{C_v}$ for the gas is
[2013]
(a) 2
(b) $\frac{5}{3}$
(c) $\frac{3}{2}$
(d) $\frac{4}{3}$
Show Answer
Answer:
Correct Answer: 19. (c)
Solution:
- (c) According to question $P \propto T^{3}$
But as we know for an adiabatic process the
pressure $P \propto T^{\frac{\gamma}{\gamma-1}}$.
So, $\frac{\gamma}{\gamma-1}=3 \Rightarrow \gamma=\frac{3}{2}$ or, $\frac{C_p}{C_v}=\frac{3}{2}$
