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How diffusivity and mass transfer resistance linked to each other?
Diffusivity ‘D’ is defined as the ratio of the molar flux to the corresponding concentration gradient and its units are m2/s.
Mass transfer coefficient ‘k’ is defined as Molar flux = (Mass transfer coefficient) X (Concentration difference)
And Mass transfer resistance is just the reciprocal of the mass transfer coefficient (i.e 1/k).
Several theories have been proposed to relate the diffusivity with MT coefficients,namely
1) Film theory says that k is directly proportional to D .
2) Penetration theory says that k is equal to , where theta is the time required for the bubble torise a distance equal to it's diameter.
3) Surface Renewal theory says that k is proportional to .