The temperature at which the rms speed of Oxygen molecules is sufficient for escaping from Earth, is

When the rms speed of molecule becomes ,Vescape =11.2km/s, the molecules escape from earth: therefore,Vrms = VescapeVrms =3RTM=11.2 x103km/sM for Oxygen =32 g/mol =0.032 kg/ mol.⇒3x8.3xT0.032=11.2x 103 ⇒ T=11.2x1032x0.0323x8.3=1.61 x 105K