Question

At the room temperature the velocity of sound in $O_2$ gas is V. Then in mixture of $H_2$ and $O_2$ gas the speed of sound at same temperature :

• A. will be less than V.
• B. will be more than V
• C. will be equal to V
• D. will becomes zero

Answer 1

The correct option is A will be less than V.

velocity of sound is given by :-

$V=\sqrt{\frac{\gamma RT}{M}}$ where M = Molar mass of gas in medium

that B,

$V\propto \frac{1}{\sqrt{M}}$ (at same temperature T)

The molar mass of $O_2$ gas in less then the equivalent molar

mass of mixture containing $H_2$ and $O_2$ (more gases mean more molar mass )

as molar mass Increases, velocity of sound decreases

$V^{\prime }<V$