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. 2021 Mar 15;11:5889. doi: 10.1038/s41598-021-85452-7

Table 3.

Adsorption isotherms and kinetic models constants and the corresponding error functions.

Isotherm model Parameters Value Kinetic model Parameters Value
Langmuir KL (L mg−1) 0.331 ± 0.139 Pseudo-first order k1 (min−1) 0.066 ± 0.001
qmax (mg g−1) 1.508 ± 0.196 qe,calc (mg g−1) 0.419 ± 0.002
R2 0.9715 R2 0.9996
χ2 2.62 × 10−1 χ2 1.17 × 10−4
SSE 4.52 × 10−2 SSE 3.73 × 10−5
ARE (%) 43.95 ARE (%) 17.30
Freundlich Kf (mg g−1) 0.458 ± 0.017 Pseudo-second order k2 (g mg−1 min−1) 0.122 ± 0.018
1/n 0.372 ± 0.115 qe,calc (mg g−1) 0.535 ± 0.017
R2 0.9968 R2 0.9971
χ2 0.75 × 10−2 χ2 1.15 × 10−3
SSE 0.2 × 10−2 SSE 3.46 × 10−4
ARE (%) 4.25 ARE (%) 18.67
Sips Qsat 3.921 ± 1.081 qe,exp (mg g−1) 0.407 ± 0.021
KF 0.131 ± 0.041
1/n 2.109 ± 0.037
R2 0.9993
χ2 0.11 × 10−2
SSE 0.57 × 10−3
ARE (%) 2.39