Table 7 Nonlinear kinetic 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

Model

Parameter

Symbol

Value

Unit

R²

χ²

RMSE

Pseudo-first-order (Nonlinear)

Rate constant

k₁

0.071

min⁻¹

0.935

3.84

1.95

Equilibrium adsorption capacity

qₑ,cal

128.5

mg g⁻¹

Pseudo-second-order (Nonlinear)

Rate constant

k₂

0.018

g mg⁻¹ min⁻¹

0.997

1.22

0.91

Equilibrium adsorption capacity

qₑ,cal

146.7

mg g⁻¹