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Multiple-step mechanisms have been extensively proposed in many electrocatalytic and/or photocatalytic oxygen evolution reactions. But the surface charge reaction is less studied quantitatively. More difficultly, the verification methods for new multiple-step photocatalytic reactions are rarely found, which could be one of the main reasons for the insufficient reaction mechanism study. In this work, we aim to elucidate the rate-law relationship of the multiple-charge reactions, which is derived based on the microkinetics calculation on the photophysical redox reactions using pre-equilibrium approximation and steady-state approximation. The numerical analysis demonstrates that an nth-order feature could be observed when the nth-step is a rate-determined step in a multiple-step reaction. Likely, the 4th-order charge transfer could be possibly found for oxygen evolution reaction, suggesting the analytical methods and results could further boost the fundamental studies in photocatalysts and multiple-step reactions. [ABSTRACT FROM AUTHOR]