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Separation Process Engineering: Includes Mass Transfer Analysis, Third Edition by Phillip C. Wankat

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18.6.5 Derivation of Solute Movement Theory

The solute movement equations can be derived rigorously by solving the mass and heat transfer equations with a set of limiting assumptions. Start with the column balance on fluid and solid, Eq. (18-54). Assuming that mass transfer is very rapid, the bulk fluid and solid will be in equilibrium. Thus, c = c* which is in equilibrium with q = q*, and the lumped parameter expression, Eq. (18-56a) or (18-56b) is not required. In addition, assuming that axial dispersion is negligible, Eq. (18-54) becomes

Image

(18-65a)

Since the solid and fluid are in equilibrium, q is related to c and T through the isotherm. After ...

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