Drive kinetic gas equation PV=2 mnu
3
1 for and ideal gas
R
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Root mean square speed formula
From the kinetic gas equation, PV = (mN CRMS2)/3, where mN = M = molecular mass of the gases. The ideal gas equation for 1-mole gases, PV = RT. Therefore, 3RT = M × CRMS2 or, CRMS2 = 3RT/M.
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