Under the same conditions of pressure and temperature, the velocity of sound in oxygen and hydrogen gases…
Under the same conditions of pressure and temperature, the velocity of sound in oxygen and hydrogen gases are $v_O$ and $v_H$, then
(a) $v_H = 2v_O$
(b) $v_H = 4v_O$
(c) $v_O = 4v_H$
(d) $v_H = v_O$
Solution
Both are diatomic. Hence, $\gamma = \frac{C_p}{C_V}$ for both is same.
$v = \sqrt{\frac{\gamma RT}{M}}$
$\therefore \frac{v_H}{v_O} = \sqrt{\frac{M_O}{M_H}} = \sqrt{\frac{32}{2}} = 4$