. 2022 Sep 26;14(19):4026. doi: 10.3390/polym14194026

Table 1.

Parameters calculated from various kinetic models (initial As(III) concentration: 50 ppm, pH: 4.0).

Kinetic Model	Linearized Equation	Model Parameters	Value
Kinetic Model	Linearized Equation	Model Parameters	Ag@DMAE- MA-g-PET	DMAEMA-g-PET
Pseudo-first-order	$l n (q_{e} - q_{t}) = l n q_{e} - k_{1} t$	$k_{1}$ , min⁻¹	0.007	0.005
		$q_{e}$ , mg/g	762.7	349.6
		R²	0.74	0.94
Pseudo-second-order	$\frac{t}{q_{t}} = \frac{1}{k_{2} q_{e}^{2}} + \frac{t}{q_{e}}$	$k_{2} \times 10^{- 6}$ , g/mg × min	1.50	2.82
		$q_{e,}$ , mg/g	769.2	555.6
		R²	0.99	0.99
Intra-particle diffusion	$q_{t} = K_{p} t^{0.5}$ + C	$K_{p}$ , mg/(g × h^0.5)	16.29	13.38
		$C$ , mg/g	75.12	53.3
		R²	0.99	0.99