Skip to main content

Advertisement

Table 2 Adsorption isotherm parameters for removal of MG, MV, and MB

From: Alginate-coated perlite beads for the efficient removal of methylene blue, malachite green, and methyl violet from aqueous solutions: kinetic, thermodynamic, and equilibrium studies

Model Equation Eq. Ads. Dye Parameters for dye Reference
Modified Langmuir \( \frac{C_{\mathrm{e}}}{q_{\mathrm{e}}}=\frac{C_{\mathrm{s}}}{K_{\mathrm{ML}}{q}_{\mathrm{m}}}+\frac{\left({K}_{\mathrm{ML}}-1\right){C}_{\mathrm{e}}}{K_{\mathrm{ML}}{q}_{\mathrm{m}}} \) (3) AP AP AP P P P MB MG MV MB MG MV qm 104.1 74.6 149.2 6.64 3.86 4.97 KML 1100 1292 2381 3003 6089 4417 R 2 0.996 0.966 0.996 0.986 0.994 0.994 Azizian et al. 2018
Freundlich \( 1{nq}_{\mathrm{e}}=1{nK}_{\mathrm{f}}+\frac{1}{n}\;1{nC}_{\mathrm{e}} \) (4) AP AP AP P P P MB MG MV MB MG MV K f 4.87 2.64 12.22 1.07 0.70 1.10 n 1.60 1.50 1.61 2.57 2.63 2.93 R 2 0.981 0.931 0.949 0.997 0.950 0.966 Freundlich 1906
D-R Inqe = lnqm− βε2 (5) AP AP AP P P P MB MG MV MB MG MV X m *10−3 7.25 6.04 14.33 0.29 0.19 0.22 K 0.0073 0.0072 0.0058 0.0038 0.0039 0.0034 E 8.84 8.33 9.29 11.47 11.32 12.13 R 2 0.994 0.960 0.976 0.993 0.964 0.976 Dubinin and Radushkevich 1947
Temkin qe = BlnKT + BlnCe (6) AP AP AP P P P MB MG MV MB MG MV B 19.49 15.04 28.58 1.24 0.79 0.95 K t 0.41 0.28 1.05 1.14 1.13 1.72 R 2 0.959 0.971 0.966 0.969 0.953 0.961 Temkin and Pyzhev 1940
Scathard qe/Ce = QsKs − qeKs (7) AP AP AP P P P MB MG MV MB MG MV Q s 108.0 96.71 188.5 5.95 3.89 4.90 K s 0.03 0.017 0.059 0.118 0.101 0.150 R 2 0.936 0.744 0.956 0.783 0.872 0.843 Scatchard, 1949