Find the mean free path and collision frequency of a hydrogen molecule in a cylinder containing hydrogen at 3atm and temperature `27^(@)C`. Take the radius of a hydrogten molecule to be `1overset(0)A`. Given, one atmospheric pressure `=1.013xx10^(5)N m^(-2)` and molecular mass of hydrogen=2.

Options

A. `7.66xx10^(-8)m, 2.52xx10^(5)s^(-1)`
B. `7.66xx10^(-5)m,2.52xx10^(5)s^(-1)`
C. `7.66xx10^(-8)m,2.52xx10^(10)`
D. `7.66xx10^(-10)m, 2.52xx10^(8)s^(-1)`

Answer

C

Explanation

`lamda=(m)/(sqrt(2)pid^(2)e)`
`lambda=7.66xx10^(-8)m`
`f=(V_(rms))/(lambda)`
`f=2.25xx10^(10)s^(-1)`