Comparative Study of Mass Transfer Limitation Steps in Bemacid Yellow and Methyl Red Biosorption: Investigation using Unique and Binary Resistance Models

Fouzia Ouazani; Mokhtaria Reguig; Khedidja Benouis

doi:10.21743/pjaec/2025.06.13

Authors

Fouzia Ouazani Laboratory of Process Engineering, Materials and Environment, Faculty of Technology, University of Djillali Liabes, PO Box 89, Sidi Bel Abbes 22000, Algeria Author
Mokhtaria Reguig Laboratory of Process Engineering, Materials and Environment, Faculty of Technology, University of Djillali Liabes, PO Box 89, Sidi Bel Abbes 22000, Algeria Author
Khedidja Benouis Laboratory of Process Engineering, Materials and Environment, Faculty of Technology, University of Djillali Liabes, PO Box 89, Sidi Bel Abbes 22000, Algeria Author

DOI:

https://doi.org/10.21743/pjaec/2025.06.13

Keywords:

Bemacid Yellow, Methyl Red, Kinetic models, Mass transfer, Binary resistance

Abstract

In this study, brewery waste was employed as an adsorbent to remove two dyes: Bemacid Yellow (BY) and Methyl Red (MR). Optimal operational conditions were determined using the Bach mode. Kinetic data fitting was carried out using pseudo first and second order models. The results revealed that the pseudo second order model exhibited a better fit for both dyes, with a high determination coefficient (R2=0.99). The single resistance model demonstrated a positive correlation between the initial dye concentration (C0) and the external mass coefficient (kf) described by the empirical relationships: k_fMR = 0.00044C^0.65₀ and k_f(by) = 0.0208C^0.033₀for MR and BY dyes adsorption, respectively. According to the obtained results from the binary resistances diffusion model, it was determined that pore diffusion played a dominant role in the adsorption process of both dyes. This conclusion was supported by the observed increase in the film diffusion coefficient (Df) values. On the other hand, alternative formulas indicate that the adsorption processes of BY were primarily controlled by film diffusion. To summarize, the adsorption process of both dyes is influenced by two key steps: pore diffusion and film diffusion. This analysis provides insights into the significance of each parameter and their respective contributions to the overall adsorption mechanism.