Table 8 Intraparticle diffusion (IPD) model parameters for MB adsorption onto CK–CNF–Fe cryogel beads (C₀ = 150 mg L⁻¹, pH = 7, T = 298 K).

From: Magnetic chitosan kaolinite cellulose nanofibril cryogel beads for efficient removal of methylene blue from water

Stage

kid​ (mg g⁻¹ min⁻¹/²)

C (mg g⁻¹)

R²

Description

Stage I

11.42

18.6

0.987

Rapid surface adsorption

Stage II

4.36

65.4

0.963

Intraparticle diffusion phase

Stage III

1.27

112.3

0.928

Equilibrium approach

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