Making use of the Maxwell distribution function, calculate the number `v` of gas molecules reaching a unit area of a wall per unit time, if the concentration of molecules is equal to `n`, the temperature to `T`, and the mass of each molecule is `m`.

Explanation

Here `vdA` = No. of molecules hitting an area `dA` of the wall per second
=`int_0^oo dN (v_x)v_x dA`
or `v = int_0^oo n((m)/(2 pi kT))^(1//2) e^((mv_x^2)/(2 kT)) v_x dv_x`
=`int_0^oo (n)/(sqrt(pi))((2 kT)/(m))^(1//2) e^(-u^2) udu`
=`(1)/(2) n sqrt((2 kT)/(m pi)) = n sqrt((kT)/(2 m pi)) = (1)/(4) n lt v gt`,
(where `lt v gt = sqrt((8 kT)/(m pi)))`.
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