Velocity of sound in a mono atomic ideal gas at 27oC is 330 m/s. Then the rms speed of molecules of that gas at same temperature is (Take 5=2.23)
VS=γRTM and Vrms=3RTM
For mono atomic gas, γ=3+23=53
Now, VrmsVs=3γ=35/3=35=32.23=1.345∴Vrms=1.345×330 m/s =444 m/s