Efficient mathematical methods for modeling and simulating adsorption of copper (II) on activated carbon utilizing date nuts

Abstract

In our research, we demonstrate the application of mathematical methodologies to analyze the retention efficiency of Cu2+ cations through adsorption on powdered activated carbon derived from date nuts. Due to the growing importance of copper elimination in environmental spheres, there is a need for accurate simulation and prediction techniques. The investigation emphasizes the significance of numerical methods in improving simulation precision. The integration of optimization strategies and numerical approaches offers a comprehensive predictive framework for copper adsorption on activated carbon. By utilizing initial parameters as inputs, the Matlab algorithm proposed by Hassouna in this study is employed to simulate the adsorption mechanisms, with the resultant outputs encompassing the nature of adsorption (isotherms, kinetics). The findings results the effectiveness of the methodologies employed in this research. Moreover, experimental assessments indicate that optimal efficiency is achieved at equilibrium after 90 minutes for activated carbon derived from date nuts. This computational methodology streamlines the effective handling of empirical data to protect the environment from contaminants such as Cu2+ cations in a manner that is both uncomplicated and time-efficient.