Question

Show that R.M.S. velocity of gas molecules is directly proportional to square root of its absolute temperature.

Answer 1

`PV=1/3mnv_(rms)^2= 1/3Mv_(rms)^2`

`V_(rms)=sqrt(3PV)/M`

`V_(rms)sqrt(3RT)/M`       {∵PV=RT}

`V_(rms)propsqrtT `