Question

prove that Vrms=√3RT÷M

Answer 1

We know that

Pressure of an ideal gas

P= 1/3 mn/V usq bar

P= 1/3 M/V u sq bar
PV= M/3 u sq bar

Now from ideal gas eqn
PV= RT

RT= M/3 × usq bar

3RT/M = usq bar

Sq both sides

√3RT/m= (usq)sq

Vrms= √3RT/M

Proved