. 2020 Dec 16;12(12):3002. doi: 10.3390/polym12123002

Table 2.

Equations and parameters of non-linear Kinetic models of MB dye adsorption onto CT-g-PAA/O-ECNFs hydrogel nanocomposite. PFO, pseudo-first-order; PSO, pseudo-second-order.

Model	Equation	Parameters				R ²	χ ²
PFO	$q_{t} = q_{e} (1 - e^{- K_{1} t})$	q_t.exp		q_t.cal	K ₁	0.9790	539.80
PFO	$q_{t} = q_{e} (1 - e^{- K_{1} t})$	1052.37		1049.33 ± 2.68	0.0096 ± 2.59 × 10⁻⁴	0.9790	539.80
PSO	$q_{t} = \frac{q_{2}^{2} k_{2} t}{1 + q_{e} K_{2} t}$			q_t.cal	K₂	0.9987	4.45
PSO	$q_{t} = \frac{q_{2}^{2} k_{2} t}{1 + q_{e} K_{2} t}$			1155.26 ± 15.83	1.38 × 10⁻⁵ ± 1.82 × 10⁻⁶	0.9987	4.45
Elovich	$q_{t} = \frac{1}{β} \ln (1 + α β t)$	α		β		0.9956	17.72
Elovich	$q_{t} = \frac{1}{β} \ln (1 + α β t)$	181.87 ± 131.25		0.00628 ± 8.29 × 10⁻⁴		0.9956	17.72
Intraparticle diffusion	$q_{t} = K_{i d} t^{0.5} + C$	K_id ₁	K_id ₂	C ₁	C ₂	0.9923	--
Intraparticle diffusion	$q_{t} = K_{i d} t^{0.5} + C$	58 ± 1.92	1.2 ± 0.426	30.1 ± 17.78	1018.6 ± 10.77	0.9923	--