Table 1.

Kinetics models used to assess the uptake of SMX onto FBZC and FHB

Kinetic models	Equations	Parameters	References
Pseudo-first order	$\frac{{\mathit{dq}}_t}{d_t}=k_1\left(q_e,-,q_t\right)$	$q_e{,k}_1$	Aksu and Karabayır (2008)
Pseudo-second order	$\frac{{\mathit{dq}}_t}{d_t}=k_2{\left(q_e,-,q_t\right)}^2$	$k_2,q_e$	Sevim et al. (2011)
Weber-Morris intraparticle diffusion	$\frac{{\mathit{dq}}_t}{d_{t^{-0.5}}}=k_{\mathit{id}}$	$k_{id,}l$	Ofomaja et al. (2009)
Elovich	$\frac{{\mathit{dq}}_t}{d_t}=\alpha exp\left(-,\beta ,q_t\right)$	$\alpha ,\beta$	Omorogie et al. (2016)

α, adsorption rate constant (mg g⁻¹ min⁻¹); k₁, pseudo-first-order rate constant (min⁻¹);. k_id, intraparticle diffusion rate constant (mg g⁻¹ min^0.5); q_e, quantity of adsorbate adsorbed at equilibrium (mg g⁻¹); l, is a constant related to the boundary layer thickness (mg g⁻¹); k₂, pseudo-second-order rate constant (g mg⁻¹ min⁻¹) q_t, quantity of adsorbate adsorbed at time t (mg g⁻¹); β, desorption rate constant (g mg⁻¹).