Binary Adsorption Kinetics of Tetracycline and Doxycycline on HKUST-1: Modification Pseudo First and Second Order Models

The investigation of kinetics is crucial for optimizing the adsorption process, particularly in multicomponent systems where several adsorbates compete for active sites on the adsorbent particle. This study presents a novel approach to improve the pseudo-first-order and pseudo-second-order kinetic models by integrating a competition parameter. This parameter quantifies the influence of the adsorbate interaction on the adsorption process. Empirical data of binary adsorption involving doxycycline (DXC) and tetracycline (TTC) were used to validate the improved models. The results indicate that the adjusted pseudo-first-order and pseudo-second-order kinetic models effectively depict the adsorption kinetics when the R² values ​​approach unity. The competition factor, denoted by the parameter α, quantifies the degree to which one adsorbate affects the adsorption capacity of the other. This study indicates that the revised models offer a more thorough understanding of adsorption kinetics in multicomponent systems, thereby facilitating more effective selection of adsorbents and optimization of the process.