Problem 2.109

Find the mass of a mole of colloid particles if during the ir centrifuging with an angular velocity \(\omega\) about a vertical axis the concentration of the particles at the distance \(r_{2}\) from the rotation axis is \(\eta\) times greater than that at the distance \(r_{1}\) (in the same horizontal plane). The densities of the particles and the solvent are equal to \(\rho\) and to \(\rho_{0}\) respectively.

M=\frac{2 R T \rho \ln \eta}{\left(\rho-\rho_{0}\right)\left(r_{2}^{2}-r_{1}^{2}\right) \omega^{2}}

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution