Yes, in adsorption experiment, thermodynamic study and rsm analysis is very important to help us understand mechanisms of pollutant uptake or interactions with the biochar, and also deduce if the reaction involve is spontaneous, exo/endothermic in nature.
The thermodynamic analysis is essential for determining the thermodynamic parameters, which are crucial for understanding the nature of the interaction between the MB molecule and the biochar surface. Furthermore, RSM analysis is not vital; it is merely a tool for optimizing the operating parameters.