Neet Solved Paper 2013 Question 17
Question: 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 _{\upsilon }}} $ for the gas is
Options:
A) $ \frac{4}{3} $
B) 2
C) $ \frac{5}{3} $
D) $ \frac{3}{2} $
Show Answer
Answer:
Correct Answer: D
Solution:
- According to question $ p\propto T^{3} $ $ pV=nRT $ And $ p\propto T^{3} $
$ \Rightarrow $ $ p^{2}V^{3}= $ constant $ p{V^{3/2}}= $ constant $ \because $ $ p{V^{\gamma }}= $ constant
$ \therefore $ $ \gamma =\frac{3}{2} $
