To determine the empirical connection between the input and output variables, data-based mathematical simulations were built for this study. Through the use of a computer-generated model, the operation and performance of a system, both in practice and in theory, can be investigated through a process known as simulation. One way to learn about a system's current quirks is to run a simulation. Adsorption system performance can be optimised or predictions about an actual system can be made through the use of simulation. The removal of manganese ions from synthetic waste-water using chemically modified adsorbents was the focus of adsorption investigations conducted at a constant temperature of 25 ± 1 ºC. In the current study, a combination of Resorcinol and Filtrasorb-400 (F-400) granular activated carbon at pH 5 was employed to effectively remove volatile organic compounds (VOCs). The experimental results were utilized to build a mathematical model based on Buckingham's theorem and stateof-the-art mathematical techniques, which were then used to forecast the optimal performance of the system.

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