Table 10 The kinetic constants of the different kinetic relations.

From: Improving adsorption performance of l-ascorbic acid from aqueous solution using magnetic rice husk as an adsorbent: experimental and RSM modeling

Kinetic model

Parameters

418 (mg/L)

600 (mg/L)

718 (mg/L)

Pseudo-first-order

qe,cal (mg/g)

28.605

31.661

34.147

k1 (1/min)

0.0263

0.0233

0.0221

R2

0.9293

0.9641

0.9650

Pseudo-second-order

qe,cal (mg/g)

36.496

45.248

49.019

k2 (g/mg min)

5.22 × 10–4

2.91 × 10–4

2.96 × 10–4

R2

0.9861

0.9553

0.957

Elovich

α (mg/g min)

1.519

1.396

1.661

β (g/mg)

0.124

0.105

0.0981

R2

0.9725

0.9419

0.9418

Intra-particle diffusion (step 1)

ki1

2.554

2.960

3.110

I

− 1.2075

− 3.6659

− 2.550

R2

0.9964

0.9815

0.9872

Intra-particle diffusion (step 2)

Ki2

0.3297

0.1705

0.3297

I

28.672

26.873

28.672

R2

0.9649

0.9600

0.9649