Two new linearized equations derived from a pseudo-second-order kinetic model.

There are six different linearized models of the pseudo-second-order kinetic model found in the literature. The pseudo-second-order kinetic model's linearized model count was expanded to eight in this study by deriving two newly linearized models. This study used experimental data from the literature for creating plots of these two new models. In the type 7 model, the slope of the line obtained by plotting 1/(q_e - q_t) vs. t graph gives 1/k₂, and its shift gives [-1/k₂q_e]. In the type 8 model, the slope of the line obtained by plotting t vs. t/q_t graph gives q_e, and its shift gives [-1/k₂q_e]. Regression analysis was performed based on R² values, which revealed that the concordance of the kinetic data's degree was type 3 = type 4 < type 2 = type 5 < type 1 = type 7 < type 6 = type 8. It was discovered that the regression coefficients of type 6 and newly derived type 8 models are equal and have the highest value. It was determined that the highest q_e value belonged to type 6 with 12.594 mg·g^-1, and the highest k₂ value belongs to type 2 as 0.0175 g·mg^-1·min^-1. It was also understood that the k₂ and q_e constants are close in the six models. On the other hand, the constants of types 1 and 7 are almost half the value of the constants in other models. Different constants offer alternatives in adsorption affinity, uptake in equilibrium, and degree of coherence. Since the k₂ constants are also used in the Arrhenius equation, it is understood that different k₂ constants will provide a wide range of alternatives for calculating the activation energy. [ABSTRACT FROM AUTHOR]