Problem 2.93

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 \(m\)

v={ }^{1} /_{4} n\langle v\rangle, \text { where }\langle v\rangle=\sqrt{8 k T / \pi m}

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution