All Problems

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.89

At what temperature of a gas will the number of molecules, whose velocities fall within the given interval from \(v\) to \(v+d v\) be the greatest? The mass of each molecule is equal to \(m\).

Reveal Answer
T=1/3mv2/kT=1 / 3 m v^{2} / k