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Two gases-argon (atomic radius 0.07 nm, ...

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

A

1.09

B

2.3

C

3.67

D

4.67

Text Solution

Verified by Experts

The correct Answer is:
A
Mean free time =`(1)/(sqrt2 n pi d^2v_(rms))`
`(tau_(Ar))/(tau_(xe))=(d_(xe)^2)/(d_(Ar)^2) xx sqrt((m_1)/(m_2))`
`=((0.1)/(0.07))^2xx sqrt ((40)/(140))= ((10)/(7))^2 xx sqrt (2/7) =1.09`
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