At constant pressure,out of H_2 and O_2 gas,i | vedclass

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(A) The speed of sound in a gas is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$,where $\gamma$ is the adiabatic index,$P$ is the pressure,a

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$H_2$

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(A) The speed of sound in a gas is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$,where $\gamma$ is the adiabatic index,$P$ is the pressure,and $\rho$ is the density of the gas.At constant pressure $P$,the speed of sound is inversely proportional to the square root of the density: $v \propto \frac{1}{\sqrt{\rho}}$.Since the molar mass of $H_2$ $(2 \ g/mol)$ is much smaller than that of $O_2$ $(32 \ g/mol)$,the density of $H_2$ is lower than the density of $O_2$ at the same temperature and pressure.Because $\rho_{H_2}  v_{O_2}$.Therefore,the speed of sound is greater in $H_2$ gas.

At constant pressure,out of $H_2$ and $O_2$ gas,in which gas is the speed of sound greater?

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