# Show that R.M.S. Velocity of Gas Molecules is Directly Proportional to Square Root of Its Absolute Temperature. - Physics

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

#### Solution

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

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

V_(rms)sqrt(3RT)/M       {∵PV=RT}

V_(rms)propsqrtT

Concept: Kinetic Theory of Gases- Assumptions
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