Q.
A gaseous mixture contains equal number of hydrogen and nitrogen molecules. Specific heat measurements on this mixture at temperature below 150 K would indicate the value of $\gamma = C_{p}/C_{v}$ for the mixture as
A) 3/2
B) 4/3
C) 5/3
D) 7/5
Explanation
(a) Below 150 K, hydrogen behaves as monoatomic gas
$\therefore$ For the mixture, $\gamma = \frac{1}{2}\left\lbrack \gamma_{mono} + \gamma_{di} \right\rbrack = \frac{1}{2}\left( \frac{5}{3} + \frac{7}{5} \right) = \frac{3}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.