Mass Transfer - Engineering

Q1:

The Kundsen diffusivity is proportional to (where, T = absolute temperature)

A T

B T2

C T

D T4

ANS:A - T

The Knudsen diffusivity (𝐷𝐾DK​) is proportional to 𝑇T, where 𝑇T is the absolute temperature. The Knudsen diffusivity (𝐷𝐾DK​) is a measure of the diffusion of gas molecules through a porous medium, such as a membrane or a bed of particles, under conditions where the mean free path of the gas molecules is comparable to or larger than the dimensions of the pores. It is named after the Danish physicist Martin Knudsen. Mathematically, the Knudsen diffusivity (𝐷𝐾DK​) is proportional to the square root of the absolute temperature (𝑇T): 𝐷𝐾∝𝑇DK​∝T​ Therefore, the Knudsen diffusivity (𝐷𝐾DK​) is proportional to 𝑇T, not 𝑇2T2 or 𝑇4T4.