Table 1 Adsorption isotherms and kinetic models constants and the corresponding error functions.

From: Syringa vulgaris leaves powder a novel low-cost adsorbent for methylene blue removal: isotherms, kinetics, thermodynamic and optimization by Taguchi method

Isotherm model

Parameters

Value

Kinetic model

Parameters

Value

Langmuir non-linear

KL (L mg−1)

0.016 ± 0.002

Pseudo-first order non-linear

k1 (min−1)

0.29 ± 0,03

qmax (mg g−1)

186.2 ± 13.3

qe,calc (mg g−1)

40.84 ± 0.32

R2

0.9972

R2

0.9988

χ2

0.18

χ2

0.04

SSE

9.58

SSE

1.25

ARE (%)

2.40

ARE (%)

17.68

Langmuir linear

KL (L mg−1)

0.016 ± 0.003

Pseudo-first order linear

k1 (min−1)

0.15 ± 0,04

qmax (mg g−1)

188.2 ± 7.4

qe,calc (mg g−1)

27.80 ± 2.11

R2

0.9986

R2

0.9693

χ2

6.46 × 10–5

χ2

0.13

SSE

1.24 × 10–6

SSE

0.24

ARE (%)

1.03

ARE (%)

31.95

Freundlich non-linear

Kf (mg g−1)

6.30 ± 1.35

Pseudo-second order non-linear

k2 (g mg−1 min−1)

0.026 ± 0.004

1/n

0.662

qe,calc (mg g−1)

42.13 ± 0.27

R2

0.9863

R2

0.9997

χ2

1.04

χ2

0.01

SSE

48.15

SSE

0.38

ARE (%)

6.39

ARE (%)

17.13

Freundlich linear

Kf (mg g−1)

4.85 ± 1.05

Pseudo-second order linear

k2 (g mg−1 min−1)

0.022 ± 0.003

1/n

0.735 ± 0.048

qe,calc (mg g−1)

42.43 ± 0.35

R2

0.9893

R2

0.9998

χ2

1.61 × 10–3

χ2

1.24 × 10–4

SSE

2.84 × 10–3

SSE

5.69 × 10–5

ARE (%)

1.16

ARE (%)

0.59