A kinetic model has been developed describing the rate of hydrogen peroxide consumption and target pollutant (phenol) degradation in CWPO with a commercial carbon black as catalyst. The model allows following the evolution of the oxidation by-products (up to 12) through a detailed reaction pathway. The kinetic parameters were obtained by fitting the experimental results in batch reactor runs at T = 90-130 degrees C, P = 4 bar, [Phenol](0)=1 g/L, [catalyst] = 0-10 g(cat)/L and the theoretical stoichiometric amount of hydrogen peroxide for complete mineralization of phenol (5 g/L). The results were subjected to the analysis of variance (ANOVA). The model includes a set of power-law expressions with different reaction orders which provides a complete description of the process and allows obtaining the efficiency of hydrogen peroxide consumption under giving operating conditions. (C) 2017 Elsevier B.V. All rights reserved.