Spectroscopic-kinetic analysis of a non-linear system consisting of two reactions of second order

Non-linear reaction systems include individual reaction steps one of which is at least a reaction of second order; the other steps may be reactions of first or second order. Linearly independent reactions are independent of reaction order. Each reaction mechanism consists of a distinct number (s) of linearly independent reaction steps. In the present paper the spectroscopic-kinetic analysis of the system (s = 2) A + B → C + D, A + E → F + G is shown using the aminolysis of N-tert-butoxycarbonylglycine p-nitrophenylester (Boc-gly-ONP) and o-nitrophenyl acetate (oNPA) with n-butylamine and acetonitrile as solvent under stopped-flow conditions. The theory of kinetic evaluation based on the formal integration according to Mauser is presented. The results obtained show that with the help of the singular value decomposition (SVD) method at least non-linear reaction systems which consist of two linearly independent reactions (s = 2) can be analysed satisfactorily on the basis of the multiwavelength analysis.