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. 2024 Dec 28;14:30972. doi: 10.1038/s41598-024-81970-2

Table 2.

The parameters of the adsorption isotherm model for Pb (II) by CuO/PANI.

Model Parameter Value Model Parameter Value

Langmuir

qe= Inline graphic

qmax (mg. g− 1) 421.14

Freundlich

qe = KfInline graphic

1/n 0.36
KL 0.041 KF 66.91
R2 0.73 R2 (-) 0.91

Langmuir-Freundlich

qe= Inline graphic

MLF (mg. g−1) 3523 Dubinin–Radushkevich qm (mg. g− 1) 377.15
LF 2.8E-05 Kad 0.003
LF 0.377 R2 (-) 0.62
R2 (-) 0.91

Khan

qe= Inline graphic

qmax (mg. g− 1) 2.94

Sips

qe= Inline graphic

qmax (mg. g− 1) 281,219
bK 5637 Ks 0.0002
aK 0.638 1/n 0.3612
R2 (-) 0.91 R2 (-) 0.91

Redlich-Peterson

qe= Inline graphic

KR 324,512

Toth

qe= Inline graphic

Kt 166,591
aR 4850 aT 3818
β 0.638 z 0.643
R2 (-) 0.91 R2 (-) 0.91

Baudu

qe= Inline graphic

qm (mg. g− 1) 421.15

Fritz-Schlunder

qe= Inline graphic

qmFSS (mg. g− 1) 65.09
b0 0.041 K1 1.028
x 0 K2 0
y 0 m1 0.362
R2 (-) 0.73
m2 0
R2 (-) 0.92