Table 1 Isotherm, kinetic, diffusion, and thermodynamic parameters and determination coefficients

K_F

2.8728

7.3672

3.3620

23.659

N

3.0826

2.4643

2.7518

1.7646

R²

0.9582

0.9935

0.8840

0.9248

K_b

4306.2

1182.8

2374.0

538.00

A_s (mmol g⁻¹)

0.4644

1.0569

0.5265

1.6898

R²

0.9979

0.9857

0.9978

0.9955

K_s

21242

3144.9

4331.9

500.60

Q_s (mmol g⁻¹)

0.3883

0.8839

0.4865

1.7466

R²

0.7930

0.6841

0.9543

0.8604

X_m

0.7955

1.7727

1.0010

4.1421

K

0.0030

0.0043

0.0040

0.0071

E (kJ mol⁻¹)

12.910

10.783

11.180

8.3918

R²

0.9877

0.9932

0.9468

0.9626

b (J mol⁻¹)

827.27

299.91

628.68

146.56

A_T (L g⁻¹)

68.106

7.3666

17.103

1.5026

R²

0.9832

0.9473

0.9883

0.9814

K

0.0113

0.0334

0.0154

0.0180

q (mmol g⁻¹)

0.0289

0.4362

0.0275

0.3178

R²

0.9221

0.9734

0.9820

0.9903

H

0.0701

0.0917

0.0864

0.0745

K

1.3511

0.1612

1.6474

0.1245

q (mmol g⁻¹)

0.2278

0.7541

0.2291

0.7735

R²

0.9997

0.9995

0.9999

0.9996

Step 1

K_i

0.0041

0.0480

0.0026

0.0385

R²

0.8035

0.9979

0.8866

0.9562

Step 2

K_i

0.0018

0.0107

0.0009

0.0088

R²

0.9996

0.7222

0.9994

0.9782

k_fd

0.0112

0.0334

0.0155

0.0179

R²

0.9221

0.9734

0.9820

0.9903

25.421

36.009

6.939

− 1.143

109.71

149.52

52.64

23.73

ΔG (kJ mol⁻¹)

298.15 K

− 7.288

− 8.569

− 8.756

− 8.219

308.15 K

− 8.385

− 10.064

− 9.282

− 8.456

318.15 K

− 9.482

− 11.559

− 9.809

− 8.635

328.15 K

− 10.579

− 13.054

− 10.335

− 8.930

> − 41.4 °C

> − 32.3 °C

> − 141.3 °C

All temperatures