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The Parameter identification model is proposed for determining the linear adsorptionisotherms and the solid diffusion coefficients by using adsorption chromatography. Axialdispersion coefficients is firstly determined by pulse-respond experiment technique with aninert substance as tracer then the elution curves of chromatography separating the isomermannitol and sorbitol are determined by the chromatographic measuring technique, andfinally the adsorption isotherms and the solid diffusion coefficients of mannitol andsorbitol on Ca2+ resins are estimated by using this model. The results show that the axialdispersion coefficients increase with fluid velocity increasing, the adsorption equilibriumconstants decrease with temperature rising;and the solid diffusion coefficients increasewith temperature rising. The theoretical elution curves are good agreement with theexperimental elution curves of the liquid adsorption chromatography separating themannitol and the sorbitol. The model provides a simple and reliable procedure to estimatethe kinetic and thermodynamic parameters of the adsorption.