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Table 3 Comparison of the pseudo-first-order and pseudo-second-order adsorption rate constants and the calculated and experimental qe values obtained at different initial dye concentrations

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

Adsorbent     Pseudo-first-order Pseudo-second-order
Dye Co(ppm) q e exp k 1 q e R 2 k 2 q e R 2
AP MB 25 20.90 0.010 10.60 0.866 0.0031 20.83 0.999
MB 50 35.87 0.013 16.06 0.799 0.0018 37.31 0.998
MB 100 70.83 0.012 28.21 0.966 0.0016 70.92 0.999
AP MG 25 16.90 0.0096 9.68 0.892 0.0031 16.89 0.995
MG 50 30.87 0.0136 16.47 0.854 0.0016 32.68 0.996
MG 100 49.83 0.0117 16.84 0.800 0.0025 50.00 0.999
AP MV 25 24.00 0.0169 6.90 0.786 0.0049 24.75 0.999
MV 50 46.87 0.0116 10.63 0.560 0.0024 47.85 0.997
MV 100 89.00 0.0190 35.86 0.871 0.0006 96.15 0.990
P MB 10 3.00 0.0066 2.12 0.955 0.0130 2.74 0.989
MB 25 4.25 0.0102 3.39 0.988 0.0053 4.56 0.983
MB 50 6.20 0.0075 4.52 0.921 0.0047 6.08 0.996
P MG 10 2.59 0.0031 2.02 0.781 0.0181 1.71 0.996
MG 25 3.87 0.0063 2.50 0.895 0.0142 3.39 0.977
MG 50 4.83 0.0089 4.07 0.978 0.0037 5.17 0.965
P MV 10 2.19 0.0091 1.28 0.867 0.0241 2.16 0.997
MV 25 3.87 0.0080 2.44 0.865 0.0110 3.76 0.993
MV 50 5.83 0.0097 4.65 0.956 0.0030 6.46 0.974