Table 6 Kinetic models parameters corresponding to the investigated adsorption of PO43− by BC.

From: Adsorptive removal of phosphate from water with biochar from acacia tree modified with iron and magnesium oxides

qe (experimental)

4.91 mg/g

Pseudo-first order

qe (model)

4.74 mg/g

k1

0.128 \(\frac{1}{min}\)

R2

0.675

Pseudo-second order

qe (model)

4.92 mg/g

k2

2.97 \(\frac{g}{{\frac{mg}{{min}}}}\)

R2

0.952

Elovich

\(\alpha\)

5.83 \(\frac{mg}{\frac{g}{min}}\)

\(\beta\)

7.03 × 108 g/mg

R2

0.874

Intra-particle diffusion

kIP

0.0191 \(\frac{mg}{{\frac{g}{{min^{0.5} }}}}\)

c

4.35 mg/g

R2

0.605