Abstract

Photocatalytic batch reactors (PCBR) have been widely used for photodegradation of organic pollutants due to their simplicity, high efficiency, and flexibility. To improve the performance of these types of reactor, mathematical models can be employed along with the experimental data to study the impacts of involved factors such as UV light intensity, photocatalyst size, and initial concentration of the pollutant. In this study, a PCBR was modeled based on the mass conservation law for pollutant in both solution and catalyst phase. An analytical solution to the obtained partial differential equations is reported for the first time, which enables the calculation of photocatalytic performance versus time for low to moderate pollutant concentrations. The analytical solution was verified with the published experimental data for Pb2+ reduction by WO3/TiO2 nanoparticles. In addition, the analytical solution was used to investigate the effect of photocatalyst size, photocatalyst concentration, and UV intensity on the degradation performance.

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