Consider the sound wave travelling in ideal gases of \(\mathrm{He},{\mathrm{CH}}_{4}\), and \({\mathrm{CO}}_{2}\). All t…

Consider the sound wave travelling in ideal gases of \(\mathrm{He},{\mathrm{CH}}_{4}\), and \({\mathrm{CO}}_{2}\). All the gases have the same ratio \(\frac{P}{\rho }\), where \(P\) is the pressure and \(\rho\) is the density. The ratio of the speed of sound through the gases \({V}_{\mathrm{He}}:{\mathrm{V}}_{{\mathrm{CH}}_{4}}:{\mathrm{V}}_{{\mathrm{CO}}_{2}}\) is given by