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Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.109

Find the mass of a mole of colloid particles if during the ir centrifuging with an angular velocity ω\omega about a vertical axis the concentration of the particles at the distance r2r_{2} from the rotation axis is η\eta times greater than that at the distance r1r_{1} (in the same horizontal plane). The densities of the particles and the solvent are equal to ρ\rho and to ρ0\rho_{0} respectively.

Reveal Answer
M=2RTρln⁡η(ρ−ρ0)(r22−r12)ω2M=\frac{2 R T \rho \ln \eta}{\left(\rho-\rho_{0}\right)\left(r_{2}^{2}-r_{1}^{2}\right) \omega^{2}}
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