Consider the sound wave travelling in ideal gases of He, CH_4, and CO_2. All the gases have the same ratio P/(ρ), where P is the pressure and ρ is…

Consider the sound wave travelling in ideal gases of $\displaystyle \mathrm{He}, \mathrm{CH}_4$, and $\displaystyle \mathrm{CO}_2$. All the gases have the same ratio $\displaystyle \frac{P}{\rho}$, where $\displaystyle P$ is the pressure and $\displaystyle \rho$ is the density. The ratio of the speed of sound through the gases $\displaystyle \mathrm{v}_{\mathrm{He}}: \mathrm{v}_{\mathrm{CH}_4}: \mathrm{v}_{\mathrm{CO}_2}$ is given by