All Problems

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.63

A vessel of volume \(V=5.0\) l contains \(m=1.4 \mathrm{~g}\) of nitrogen at a temperature \(T=1800 \mathrm{~K} .\) Find the gas pressure, taking into account that \(\eta=30 \%\) of molecules are disassociated into atoms at this temperature.

Reveal Answer
2.63. \(p=(1+\eta) m R T / M V=1.9\) atm, where \(M\) is the mass of an \(\mathrm{N}_{2}\) mole.