Introduce a New Equation to Predict Amount of Adsorption

The purpose of this study is mathematical investigation of aggregation adsorption isotherm models in a five parameter equation. This equation can cover Langmuir isotherms, Freundlich, Hill, Redlich-Peterson, Sips, Toth, Koble-Corrigan, Khan and Radke-Prausnitz in the form of an equation. The mentioned equation were fitted with experimental data using some common numeric analytical software and the results were compared with the corresponding values other forms of nonlinear isotherms.In order to find the best isotherm for better matching with the experimental data, the error analysis methods such as sum of squares and the correlation coefficient were used. The experimental data used in this study, the best results were for experimental data of the adsorption of aniline, phenol, methylene blue, and cadmium. The mentioned equation with having the lowest sum of squared errors and the highest correlation coefficient is an appropriate equation for fitting the experimental results. The results confirm that increasing the number of parameters in an equation lead to the better fitting of experimental data.