RESEARCH METHOD FOR KINETICS OF CHEMICAL- REACTIONS - SELF-FUNCTION REGRESSION METHOD AND ITS APPLICATIONS

A self-function recursion equation, f(i)=b(1)f(i+1)+b(2)f(i+2), can be obtained after the perfect nonlinear funtion, f(t)=A+Be-k1t+Ce-k2t, h as been transformed. Through treating the self-function recursion equa tion with the theory of regression analysis, a novel research method f or the kinetics of chemical reactions, self-function regression method , has been developed. This method can be applied not only to thermokin etic studies, but also to ultraviolet spectrophotometry for treating k inetics of complex reactions. As a result of treating thermogram equat ion of the first order reaction with Laplace transform, the thermogram equation can be expressed as Delta=Lambda(e(-k1t)-e(-kt)). The rate c onstant of the first order reaction t k(1), and the cooling constant o f thermokinetic system, k, can be obtained at the same time with the s elf-function regression method. In order to test the validity of this method, the saponifications of ethyl acetate and ethyl butyrate have b een studied at 25 degrees C in aqueous solution. The rate constants ca lculated with this method are in agreement with those in literatures, and therefore the self-function regression method is correct in deed.