Kinetic Theory Of Gases Question 82
Question: During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio $ \frac{C _{p}}{C _{v}}=\gamma $ for the gas is
Options:
A) 2
B) 3/2
C) 5/3
D) 4/3
Show Answer
Answer:
Correct Answer: B
Solution:
[b] $ {{P}^{1-\gamma }}{{T}^{\gamma }}=\text{constant} $ or $ p\propto {{T}^{[ \gamma /( \gamma -1 ) ]}}$
$\text{ Here, }p\propto T^{3} $ or $ \frac{\gamma }{\gamma -1}=3\text{ or }\gamma =\frac{3}{2} $
BETA
