Vrms = ( 3kB T / m)1/2
KB is constant and equal to 1.38 x 10-23 J/K
T is tempreture in kelvin. Taking room tempreture as 27 deg
C,
T = 300 K
m is mass of molecule in kg
For Oxygen , m = 5.3x10-26 kg
For nitrogen , m = 4.65x10-26 kg
For oxygen , Vrms = (3*1.38x10-23
*300/5.3x10-26)1/2 = 484 m/s
For Nitrogen, Vrms = (3*1.38x10-23
*300/4.65x10-26)1/2 = 517 m/s
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