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

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

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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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