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Q.

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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a

3.67

b

4.67

c

1.09

d

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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