Table 3 Kinetic parameters of phenol adsorption by lead ferrite-MAC.

From: Lead ferrite-activated carbon magnetic composite for efficient removal of phenol from aqueous solutions: synthesis, characterization, and adsorption studies

Model

Initial phenol concentration (mg/L)

100

200

300

400

500

PFO

q1 (mg/g)

41.886

71.205

89.667

102.731

111.503

k1 (1/min)

0.0462

0.0433

0.0642

0.0769

0.0821

R2

0.9678

0.9465

0.9739

0.9771

0.9657

R2adj

0.9675

0.9460

0.9732

0.9768

0.9652

ARE (%)

5.426

6.986

4.455

6.697

4.020

MSE (mg/g)2

7.412

9.044

5.169

10.252

8.589

PSO

q2 (mg/g)

47.397

82.694

100.389

114.702

121.963

k2 (g/mg min)

8.531 × 10–4

4.203 × 10–4

5.860 × 10–4

5.844 × 10–4

6.706 × 10–4

R2

0.9941

0.9944

0.9986

0.9974

0.9989

R2adj

0.9933

0.9937

0.9985

0.9970

0.9988

ARE (%)

2.600

2.556

1.170

1.598

0.975

MSE (mg/g)2

1.112

3.153

1.179

3.000

1.340

Elovich

a (g/mg)

0.151

0.080

0.089

0.086

0.093

b (mg/g min)

16.860

17.449

186.604

499.364

1988.181

R2

0.9672

0.9684

0.9827

0.9797

0.9866

R2adj

0.9631

0.9644

0.9805

0.9772

0.9849

ARE (%)

6.178

6.151

4.206

4.433

3.497

MSE (mg/g)2

6.145

17.805

14.860

22.968

17.327

LDF

kLDF (1/s)

2.93 × 10–4

4.46 × 10–4

7.37 × 10–4

8.17 × 10–4

9.02 × 10–4

Dh (cm2/s)

4.41 × 10–9

8.96 × 10–9

1.83 × 10–8

1.94 × 10–8

2.06 × 10–8

R2

0.9666

0.9588

0.9748

0.9841

0.9906

R2adj

0.9624

0.9535

0.9716

0.9821

0.9894

ARE (%)

5.43

6.06

5.01

4.02

3.05

MSE (mg/g)2

5.99

9.28

10.54

9.23

7.15