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. 2021 Jan 25;7(1):e05993. doi: 10.1016/j.heliyon.2021.e05993

Table 3.

Kinetic parameters for the effect of SG dye concentration on adsorption by GWTW.

Concentration of SG dye, mg L−1
Parameters 168.0 345.0 495.0 635.0
Pseudo-first order model
qe, (mg·g−1) 29.18 59.02 84.82 102.4
k1(min−1) 0.380 0.297 0.258 0.233
R2 0.9660 0.9214 0.9267 0.9252
SE
2.178
6.075
8.462
10.381
Pseudo-second order model
qe(mg·g−1) 31.31 62.93 90.76 110.0
k2(mg−1·g·min−1) 0.020 0.007 0.004 0.003
R2 0.9901 0.9690 0.9745 0.9754
SE 1.176 3.819 4.996 5.956

Elovich model
Α (mg·g−1·min−1) 613.0 871.2 655.0 502.4
Β (g· mg−1) 0.291 0.150 0.096 0.075
R2 0.9994 0.9990 0.9993 0.9994
SE 0.272 0.693 0.846 0.957

Hyperbolic tangent model
qe(mg·g−1) 38.86 76.41 110.7 135.9
teHT(min) 110 132 167 191
nHT 0.164 0.180 0.202 0.229
R2 0.9928 0.9941 0.9996 0.9992
SE 0.999 0.999 0.997 1.000

Modified Lagergren model
Qmax, (mg·g−1) 33.61 68.93 98.76 127.00
k1(min−1) 0.248 0.184 0.163 0.119
t1/2(min) 2.8 3.8 4.2 7.4
R2 0.9517 0.7835 0.8005 0.6781
SE 3.759 9.432 13.065 20.148

Diffusion – chemisorption model
qe(mg·g−1) 36.51 73.15 107.1 131.8
KDC(mg (g·min0.5)−1) 28.97 46.21 59.24 64.30
ki 22.99 29.19 32.77 31.36
R2 0.9979 0.9931 0.9961 0.9975
SE 0.539 1.803 1.949 1.901