*2.8. Kinetic Model*

To understand the dynamics of adsorption as a function of time, kinetic models described in the literature were used [38]. Equations (13) and (14) show the linear expression for pseudo-first order and pseudo-second order respectively.

$$
\ln(q\_\varepsilon - q\_t) = \ln(q\_\varepsilon) - k\_1 t \tag{13}
$$

$$\frac{t}{q\_t} = \frac{1}{k\_2 q\_\varepsilon^2} + \frac{1}{q\_\varepsilon} t \tag{14}$$

where *qe* (mg g<sup>−</sup>1) it is the sorption in equilibrium, *qt* (mg g<sup>−</sup>1) is the sorption at any time *t*, *k*<sup>1</sup> and *k*<sup>2</sup> (min<sup>−</sup>1) are the sorption constants of the pseudo-first-order and pseudo-secondorder model.
