Penetration theory relates the average mass transfer co-efficient (K) with diffusivity (D) as

Solution (By Examveda Team)

In the penetration theory of mass transfer, the relationship between the average mass transfer coefficient (K) and diffusivity (D) is given by certain power functions.

According to the penetration theory, the correct relationship is expressed as K being proportional to the square root of D, represented as K ∝ √D ​. This relationship signifies that the mass transfer coefficient is directly influenced by the square root of the diffusivity.

Hence, Option B: K ∝ √D is the correct representation of the relationship between the average mass transfer coefficient and diffusivity according to the penetration theory in mass transfer studies.