Exploring the Langmuir and Freundlich Adsorption Models

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Langmuir adsorption model assumesthat adsorption occurs at specific homogeneous adsorption sites onthe adsorbent surface and intermolecular forces decrease rapidlywith the distance from the adsorption surface. The model further basedon the assumption that all the adsorption sites are energeticallyidentical and adsorption occurs on a structurally homogeneousadsorbent. The Langmuir (Hadi et al., 2010) non-linear form is pre-sented in Eq. (6).which may be unfavourable (RL > 1), linear (RL = 1), favorable (0 < RL< 1) or irreversible (RL = 0) [31,32]. It has been found from Fig. 8 that the values of RL for TG range from 0.0068 to 0.039 and for ATG was 0.02 to 0.13. The lower RL values at higher BG concentration indicate that adsorption is more favourable at higher concentrations. The degree of favourability tended toward zero (the completely ideal irreversible case) rather than unity (which represent a completely reversible case). Thus the adsorp-tion of BG on to both gels is confirmed to be a favourable process. Freundlich isotherm model can be used to describe the sorption on heterogeneous surfaces and multilayer sorption formation. It …show more content…

The constant b gives the mean free energy, E, of adsorption per molecule of the adsorbate when it is transferred to the surface of the solid from infinity in the solution and can be computed using the relationship [20,31]; E ¼ 1 p2b ðÞ ð13Þ The magnitude of E is useful for estimating the mechanism of the adsorption reaction. In the case of E < 8 kJ mol_1, physical forces may affect the adsorption process. If E is in the range of 8–16 kJ mol_1, adsorption is governed by ion exchange mechanism, while for the values of E > 16 kJ mol_1, adsorption may be dominated by particle diffusion

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