“…Further, the thermodynamic properties, viz. change in Entropy (∆ S ), change in enthalpy (∆ H ), and free energy change (∆ G ), are evaluated from the analysis using the Equations ()–() and are presented in Table (Krishna Mohan, Naga Babu, Kalpana, & Ravindhranath, ; Smith, Ness, & Abott, ).where q e is the adsorbed quantity of Al(III) and fluoride ions onto the adsorbent surface, C e is the Al(III) and fluoride ions equilibrium concentrations in ml, R is the gas constant, K d is the distribution coefficient, and T is the thermodynamic temperature.…”