Calculate the mean free path of air molecules at STP. The diameter of `N_(2)` and `O_(2)` is about `3xx10^(-10)m`

Explanation

Diameters of `N_(2)&O_(2)`
`d=3xx10^(-10)m`
n - number density using ideal gas law
`n=(N)/(V)=(P)/(kT)=(101.3xx10^(3))/(1.381xx10^(-23)xx273)`
`=(101.3xx10^(3))/(377.01xx10^(-23))=0.2687xx10^(-26)`
`lambda=(1)/(sqrt(2)pind^(2))`
`lambda=(1)/(3.14xx1.414xx0.2687xx10^(26)xx(3xx10^(-10))^(2))`
`=(1)/(10.74xx10^(6))=0.0931xx10^(-6)`
`lambda=9.31xx10^(-8)m`