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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3.67

4.67

1.09

2.3

answer is C.

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Detailed Solution

Mean Free Path=λ=12πnvd2 Mean Free Time=τ=λv=12πnvd2v ⇒τ=12πnvd2×M3RT ∴τ1τ2=M1M2×d22d12⇒τArτXe=40140×0.10.072 =27×10.49=1.09

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