Two $$gases-argon(atomic$$ radius $$0.07nm$$, atomic weight $$40)$$ and xenon (atomic$$ radius $$0.1nm$$, atomic weight $$140$$ $$) have the same number density and are at the same temperature. The ratio of their respective mean free times is closed to

Question

Two $$gases-argon(atomic$$ radius  $$0.07nm$$, atomic weight  $$40)$$ and xenon (atomic$$ radius  $$0.1nm$$, atomic weight $$140$$ $$) have the same number density and are at the same temperature. The ratio of their respective mean free times is closed to

Infinity Learn · Accepted Answer

Mean Free $$Path=$$λ$$=12$$$$π$$$$nvd2$$         ​Mean Free $$Time=$$τ$$=$$λ$$v=12$$$$π$$$$nvd2v$$    ⇒τ$$=12$$$$π$$$$nvd2$$×$$M3RT$$   ​∴τ$$1$$τ$$2=M1M2$$×$$d22d12$$⇒τArτ$$Xe=40140$$×$$0.10.072$$    $$=27$$×$$10.49=1.09$$

Two gases-argon(atomic radius 0.07nm, atomic weight 40) and xenon (atomic radius 0.1nm, atomic weight 140 ) have the same number density and are at the same temperature. The ratio of their respective mean free times is closed to

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