All Problems

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.64

Under standard conditions the density of the helium and nitrogen mixture equals \(\rho=0.60 \mathrm{~g} / \mathrm{l}\). Find the concentration of helium atoms in the given mixture.

Reveal Answer
\[ \text { 2.64. } n=\left(p / k T-\rho / m_{2}\right) /\left(1-m_{1} / m_{2}\right)=1.6 \cdot 10^{19} \mathrm{~cm}^{-3}, \text {where } \] \(m_{1}\) and \(m_{2}\) are the masses of helium and nitrogen molecules.