Q. The ratio of two specific heats of gas $C_{p}/C_{v}$ for argon is 1.6 and for hydrogen is 1.4. Adiabatic elasticity of argon at pressure $P$ is $E$. Adiabatic elasticity of hydrogen will also be equal to $E$ at the pressure
A) $P$
B) $\frac{8}{7}P$
C) $\frac{7}{8}P$
D) $1.4P$
Explanation
(b) Adiabatic elasticity $E = \gamma P$
For argon $E_{Ar} = 1.6\ P$ …(i)
For hydrogen $E_{H_{2}} = 1.4P'$ …(ii)
As elasticity of hydrogen and argon are equal
$\therefore 1.6P = 1.4P^{'} \Rightarrow P^{'} = \frac{8}{7}P$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.