ELECTRO-GENERATION OF HYDROGEN PEROXIDE: DERIVATION OF EMPIRICAL FORMULA SIMULTANEOUSLY CONTAINING CURRENT DENSITY AND ELECTROLYTIC TIME BASED ON KINETIC MODEL

Abstract

In this study an empirical formula based on kinetic model was established mathematically for describing electro-generation of H2O2. The kinetic model was derived by considering H2O2 generation and consumption simultaneously. The model was mainly related with two factors: current (I) and electrolytic time (t). Under a given current, the model of electro-generation of H2O2 only contains one factor (t). The experiment data verified this model, and we found H2O2 concentration is linear with the applied current at a current time. Based on this fact, an empirical formula was established mathematically for describing electro-generation of H2O2. The empirical formula of I/A and t, can predict the accumulative concentration of H2O2 ([H2O2]) at varied time, as well as at arbitrary current density within a certain range. It was deduced by the following two steps: obtain of linearity between [H2O2] and I by theoretical assumption and experimental verification; obtain of exponential relationship between slope and intercept with t by curve fitting and reference to kinetic model. The related parameters of empirical formula were obtained through linear regression and curve fitting method. Finally, the value of H2O2 concentration predicted by the empirical formula fitted quite well with the measured one with difference less than 5%.