. 2020 Nov 19;25(22):5429. doi: 10.3390/molecules25225429

Table 8.

The kinetics study results corresponding to Figure 12.

Models	Parameter	Value
Pseudo-first order (PFO) $\ln (q_{e} - q_{t}) = \ln (q_{e}) - k_{1} t$	K₁ (min⁻¹)	0.021
	q_e (mg/g)	8.868
	R²	0.889
Pseudo-second order (PSO) $\frac{t}{q e} = \frac{1}{k_{2} q_{e}^{2}} + \frac{1}{q_{e}} t$ Where K₂ is rate constant (g·mg⁻¹·min⁻¹)	K₂ (g·mg⁻¹·min⁻¹)	0.162
	q_e(mg/g)	13.94
	R²	0.999
Elovich equation is $q_{t} = \frac{1}{β} \ln (α β) + \frac{1}{β} \ln (t)$ is used to predict the sorption mechanism, where q_t is adsorbed quantity at time t; while α and β are initial sorption concentration rate (mg·g⁻¹·min⁻¹), and desorption constant (g/mg), respectively.	Α	7.1 × 10³
	Β	0.392
	R²	0.978
Weber-Morris intraparticle diffusion model is used to study the formed layers around the adsorbent and rate-controlling step, which is expressed as $q_{t} = K_{I} t^{0.5} + C$ , where K_I is intraparticle diffusion rate constant (mg·g⁻¹·min^−0.5), and C is the boundary thickness effect.	K_I	2.19	0.55
	C	19.02	26.16
	R²	0.934	0.898