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. 2021 May 13;6(20):13406–13416. doi: 10.1021/acsomega.1c01514

Table 1. Theoretical Parameters of the Studied Kinetic and Isotherm Models in Addition to the Thermodynamic Parameters.

model parameters DI CS/D
pseudo-first-order K1 (min–1) 0.3557 0.3817
qe(cal) (mg/g) 365.4 573
R2 0.98 0.91
X2 0.65 4.3
pseudo-second-order k2 (g mg–1 min–1) 3.4 × 10–4 2.5 × 10–4
qe(cal) (mg/g) 386.5 523
R2 0.922 0.93
X2 1.54 2.8
Langmuir qmax (mg/g) 440.39 765.5
b (L/mg) 4.09 × 10–4 0.0076
R2 0.93 0.91
X2 4.14 4.65
RL 0.75–0.92 0.141–0.396
Freundlich 1/n 0.5 0.39
kF (mg/g) 16.4 47.7
R2 0.87 0.88
X2 5.63 5.86
D–R model β (mol2/KJ2) 0.0084 0.0079
qm (mg/g) 396 574.6
R2 0.86 0.84
X2 6.78 6.88
E (KJ/mol) 7.71 7.95
ΔGo (kJ mol–1) 303.15 –22.51 –24.55
308.15 –22.84 –24.77
313.15 –22.98 –25.03
318.15 –23.10 –25.23
323.15 –23.28 –25.40
ΔH° (kJ mol–1)   –11.6 –11.46
ΔS° (J K–1 mol–1)   36.27 43.22