A kinetic analysis is presented for a proposed scheme for sulfone production by the oxidation of petroleum sulfoxides by the action of hydrogen peroxide using a molybdenum (VI) oxide catalyst. Theoretical calculations and experimental data indicate that the sulfone concentration in the initial stages of the reaction depends linearly on the square of the elapsed reaction time. The effective activation energy of this reaction was found to be E (act) = (31 +/- 7) kJ/mole.