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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!