The article "Critical Review in Adsorption Kinetic Models" by Hui Qiu, Lu LV, Bing-cai PAN, Qing-jian ZHANG, Wei-ming ZHANG, and Quan-xing ZHANG reviews the current state of adsorption kinetic models used in environmental remediation. Adsorption is a widely applied technique for pollutant removal, and its kinetics are crucial for evaluating the performance of adsorbents and understanding the underlying mechanisms. The authors highlight that while numerous mathematical models have been developed to describe adsorption reactions and diffusion processes, these models often fail to fit kinetic data appropriately due to the neglect of boundary conditions. They emphasize the significance of considering these conditions in the modeling process. The review focuses on two main types of models: adsorption reaction models and adsorption diffusion models. Adsorption reaction models, derived from chemical reaction kinetics, consider the entire adsorption process without breaking it down into specific steps. In contrast, adsorption diffusion models, which are more complex, account for external diffusion, intra-particle diffusion, and mass action. The authors critique the misuse of pseudo-second-order rate equations, which are often inappropriate for physical adsorption processes, and the continued use of Lagergren's models without a clear understanding of the underlying mechanisms. The article provides a detailed analysis of several widely used batch kinetic models, particularly the pseudo-first-order and pseudo-second-order rate equations, and discusses their applications and limitations. The authors argue that improving the boundary conditions in these models can significantly enhance the accuracy and reliability of adsorption kinetic modeling, making it a valuable contribution to the field.The article "Critical Review in Adsorption Kinetic Models" by Hui Qiu, Lu LV, Bing-cai PAN, Qing-jian ZHANG, Wei-ming ZHANG, and Quan-xing ZHANG reviews the current state of adsorption kinetic models used in environmental remediation. Adsorption is a widely applied technique for pollutant removal, and its kinetics are crucial for evaluating the performance of adsorbents and understanding the underlying mechanisms. The authors highlight that while numerous mathematical models have been developed to describe adsorption reactions and diffusion processes, these models often fail to fit kinetic data appropriately due to the neglect of boundary conditions. They emphasize the significance of considering these conditions in the modeling process. The review focuses on two main types of models: adsorption reaction models and adsorption diffusion models. Adsorption reaction models, derived from chemical reaction kinetics, consider the entire adsorption process without breaking it down into specific steps. In contrast, adsorption diffusion models, which are more complex, account for external diffusion, intra-particle diffusion, and mass action. The authors critique the misuse of pseudo-second-order rate equations, which are often inappropriate for physical adsorption processes, and the continued use of Lagergren's models without a clear understanding of the underlying mechanisms. The article provides a detailed analysis of several widely used batch kinetic models, particularly the pseudo-first-order and pseudo-second-order rate equations, and discusses their applications and limitations. The authors argue that improving the boundary conditions in these models can significantly enhance the accuracy and reliability of adsorption kinetic modeling, making it a valuable contribution to the field.