Mass Transfer - Engineering

Q1:

According to the film theory of mass transfer, the mass transfer co-efficient is proportional to (where, D = molecular diffusivity)

A D

B D2

C D0.5

D 1/D

ANS:A - D

According to the film theory of mass transfer, the mass transfer coefficient (š‘˜k) is proportional to the square root of the molecular diffusivity (š·D). So, the correct option is š·0.5D0.5. The film theory of mass transfer suggests that the mass transfer rate across a fluid film boundary layer is primarily controlled by molecular diffusion. The mass transfer coefficient š‘˜k is proportional to the square root of the molecular diffusivity š·D, and it can be expressed as: š‘˜∝š·k∝D​ This relationship implies that as the molecular diffusivity increases, the mass transfer coefficient also increases, leading to a higher rate of mass transfer across the boundary layer.