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Answer 1 · 2017-09-02T10:27:59

From kinetic theory, the expression for diffusion coefficient is,

$D = 1/3barvlamda$

But, from Maxwell's expression for mean free path,

$lamda = 1/(sqrt(2)nsigma^2pi)$
Where $sigma$ is molecular diameter.

Thus, the diffusion coefficient,

$D = barv/(3sqrt(2)pisigma^2n)$

Since, $rho = mn$ is the density, then,

$D = (barvm)/(3sqrt(2)rhopisigma^2)$

Therefore, the diffusion coefficient varies inversely with density!