화학공학소재연구정보센터
Chemische Technik, Vol.50, No.2, 72-78, 1998
Mathematical-analytical approximations of reaction chromatographic product peaks for simple and complex reaction mechanisms
In the chromatography of reactive substances, typical reaction chromatograms are formed, which can be used for the determination of rate constants. The present paper is devoted to the formulation of approximate analytical solutions for the product peaks of such reactions. Starting from the balance equations, a transformation to local statistical moments is carried out, and the product curve is evaluated using an empirical peak form equation by integration via the spatial coordinate of the column. Analytical results could be gained by help of the Gauss function and the substitution of the local second central moments by the averaged second central moments at the breaktrough time for irreversible first and second order reactions, and for parallel, consecutive, and reversible first order reactions. The results were verified comparing them with the numerical solutions (method of finite differences) of the model equations.