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APPLICATION OF VACANCY SOLUTION THEORY TO ADSORPTION FROM DILUTE AQUEOUS SOLUTIONS

In the design of purification facilities for removing organic pollutants from wastewaters by using activated carbon, equilibrium adsorption information is required. Since wastewaters contain more than one component, the desired equilibria are for multiple solutes rather than for a single solute. However, most of the published papers in this field deal with adsorption for removing a single solute from water. In the present study, the vacancy solution theory which has been proposed to predict gas mixture adsorption equilibria is applied to the adsorption equilibria of aqueous solutions in order to develop a new correlation method. The vacancy solution theory, proposed by Suwanayuen and Danner3>4), is found to be very useful for correlating single gas adsorption isotherms and gas mixture adsorption equilibria. By replacing the vacuumspace with water molecule as a definition of "vacancy" in the theory, one can readily derive an adsorption isotherm equation for dilute aqueous solutions. In the derivation, the Gibbs adsorption equation for dilute solutions, RTd\n c°t =(Aln°)dn, was used and the Wilson equation was adopted to describe the nonideality in the adsorbed phase. The adsorption isotherm equation obtained for a dilute aqueous solution containing a single solute i is as follows.