All Problems

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.92

From the Maxwell distribution function find \(\left\langle v_{x}^{2}\right\rangle,\) the mean value of the squared \(v_{x}\) projection of the molecular velocity in a gas at a temperature \(T .\) The mass of each molecule is equal to \(m\).

Reveal Answer
vx2=kT/m\left\langle v_{x}^{2}\right\rangle=k T / m