Table 2 Parameters of kinetic models for AR8 removal by CNCsH.

From: Biodegradable cellulose nanocrystals hydrogels for removal of acid red 8 dye from aqueous solutions

Dye system

Pseudo first order

Pseudo second order

qe,exp (mg/g)

K1 (min-1)

qe1 (mg/g)

R2

K2 (g/mg. min)

qe2 (mg/g)

R2

1. Different concentrations W = 0.1 g, shaking speed = 150 rpm, pH = 1, CNCs content = 5% and temperature = 30 °C

Co = 10 mg L−1

5.46

0.058

3.27

0.9301

0.04

5.6

0.9986

Co = 20 mg L−1

9.02

0.023

3.23

0.8841

0.0289

8.5

0.9995

Co = 30 mg L−1

11.28

0.024

3.14

0.9343

0.03

11.2

0.9998

2. Sorbent dosage Shaking speed = 150 rpm, Co = 10 mg L−1 ,pH = 1, CNCs content = 5% and temperature = 30 °C

wo = 0.1 g

5.46

0.058

3.27

0.9301

0.038

5.7

0.9986

wo = 0.2 g

2.81

0.067

1.63

0.9309

0.0756

3

0.9987

wo = 0.3 g

1.99

0.063

1.17

0.9739

0.15

2.06

0.9999

wo = 0.4 g

1.61

0.066

1.38

0.9584

0.1856

1.67

0.9998

wo = 0.5 g

1.36

0.067

2.06

0.931

0.29

1.4

0.9999

wo = 0.6 g

1.08

0.069

6.18

0.919

0.947

1.09

0.9999

wo = 0.7 g

0.94

0.059

17.8

0.8065

2

0.94

1

3. rpm W = 0.5 g, Co = 10 mgL−1, pH = 1, CNCs content = 5% and temperature = 30 °C

rpm = 100

0.89

0.032

5.09

0.8219

1.049

0.52

0.9997

rpm = 150

1.36

0.067

2.055

0.931

0.79

1.19

0.9999

rpm = 200

1.18

0.048

26.94

0.5236

1.265

1.4

0.9999

4. Temperature W = 0.5 g, shaking speed = 150 rpm, Co = 10 mg L−1, CNCs content = 5% and pH = 1

T = 30 °C

1.36

0.067

2.06

0.931

0.569

1.4

0.9999

T = 40 °C

1.36

0.032

47.56

0.4595

3.367

1.36

1

T = 50 °C

1.24

0.045

25.8

0.714

2.352

1.25

1

Intra-particle diffusion model

Kint

C

R2

    

Initial dye concentration (ppm)

    

10

0.1775

3.6098

0.88

    

20

0.3586

5.2316

0.8757

    

30

0.3338

7.7321

0.8841