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Rms speed

At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere? (Given : Mass of oxygen molecule (m)=2.76×10-26 kg, Boltzmann's constant kB=1.38×10-23JK-1


Escape velocity from the Earth's surface is vescape =11200 m s-1

Say at temperature T, oxygen molecule attains escape velocity.

 So, vescape =3kBTmO211200=3×1.38×10-23×T2.76×10-26

 On solving, T=8.360×104 K

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