A theoretical approach for evaluating the contributions of pseudo-first-order and pseudo-second-order kinetics models in the Langmuir rate equation

The Langmuir rate equation, a linear combination of the pseudo-first-order and pseudo-second-order kinetics models, is expressed as dθdt=k1(θe−θ)+k2(θe−θ)2. This study introduces a novel theoretical approach to evaluate the percent contribution of these kinetics models in constructing the Langmuir rate equation for 18 selected adsorption systems. The proposed approach accurately calculates the contribution of the pseudo-first-order and pseudo-second-order kinetics models, providing valuable insights into their relative significance in the adsorption process. The findings offer important implications for understanding and modeling adsorption kinetics in diverse systems.