Table 3 Kinetic parameters for adsorption of BBR and VBR with pomegranate Peel

Pseudo-first-order kinetic model

R²

0.9215

0.6870

χ²

0.0193

0.1321

HYBRID

0.0202

0.1453

EABS

0.4893

1.470

K_s1 (1/min)

0.05113

0.05664

q_e (mg/g)

0.6400

0.5590

Pseudo-second-order kinetic model

R²

0.9998

0.9999

χ²

0.007610

0.004691

HYBRID

0.007678

0.004629

EABS

0.4212

0.2713

K_s2 (g/mg min)

0.1518

0.2118

q_e (mg/g)

4.270

3.744

Intraparticle diffusion model

R²

0.8765

0.6884

χ²

0.01299

0.05339

HYBRID

0.01293

0.05407

EABS

0.5390

1.0001

K_p (mg/g min²)

0.08608

0.09066

C (mg/g)

3.480

2.969