Table 4 The kinetic parameters for the adsorption of aniline blue dye on magnesium silicate nanoparticles.
Kinetic model | Parameters | Results |
|---|---|---|
pseudo-first order | \(\:{q}_{{e}_{\left(experimental\right)}}\) mg/g | 5.77 |
\(\:{q}_{{e}_{\left(Theoretical\right)}}\) mg/g | 5.81 ± 0.07 | |
\(\:{K}_{1}\) (\(\:{min}^{-1}\)) | 0.12 ± 0.01 | |
\(\:{R}^{2}\) | 0.996 | |
\(\:{\chi\:}^{2}\) | 0.017 | |
pseudo-second order | \(\:{q}_{{e}_{\left(experimental\right)}}\) mg/g | 5.77 |
\(\:{q}_{{e}_{\left(Theoretical\right)}}\) mg/g | 6.13 ± 0.25 | |
\(\:{K}_{2}\) (\(\:\frac{g}{mg.min}\)) | 0.03 ± 0.01 | |
\(\:{R}^{2}\) | 0.985 | |
\(\:{\chi\:}^{2}\) | 0.081 | |
intra-particle diffusion | C | 1.53 ± 0.96 |
\(\:{K}_{i}\) (\(\:\frac{mg}{g.{min}^{0.5}}\)) | 0.59 ± 0.16 | |
\(\:{R}^{2}\) | 0.732 | |
\(\:{\chi\:}^{2}\) | 1.478 |
