All Problems

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.65

A parallel beam of nitrogen molecules moving with velocity v=400 m/sv=400 \mathrm{~m} / \mathrm{s} impinges on a wall at an angle θ=30\theta=30^{\circ} to its normal. The concentration of molecules in the beam n=0.91019 cm3n=0.9 \cdot 10^{19} \mathrm{~cm}^{-3}. Find the pressure exerted by the beam on the wall assuming the molecules to scatter in accordance with the perfectly elastic collision law.

Reveal Answer
2.65. p=2nmv2cos2θ=1.0p=2 n m v^{2} \cos ^{2} \theta=1.0 atm, where mm is the mass of a nitrogen molecule.