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

Abstract

There are six different linearized models of the pseudo-second-order kinetic model found in the lit-erature. 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 lit-erature 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/k(2), and its shift gives [-1/k(2)q(e)]. In the type 8 model, the slope of the line obtained by plotting t vs. t/qt graph gives q(e,) and its shift gives [-1/k(2)q(e)]. Regression anal-ysis was performed based on R-2 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 center dot g(-1), and the highest k(2) value belongs to type 2 as 0.0175 g center dot mg(-1)center dot min(-1). It was also understood that the k(2) 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 k(2) constants are also used in the Arrhenius equation, it is understood that different k(2) constants will provide a wide range of alternatives for calculating the activation energy.