Table 3 Values for the constants of the kinetic models used to fit the experimental data on the adsorption of PSB and orthophosphates on BC prepared at 500 °C 1 h.

From: Production of pine sawdust biochar supporting phosphate-solubilizing bacteria as an alternative bioinoculant in Allium cepa L., culture

Model for PSB

pH ± 0.2

Pseudo-second-order

Elovich

qe Log10 CFU g-1

k2 g Log10 CFU-1 min-1

R2

α Log10 CFU g-1 min-1

β g Log10 CFU-1

R2

3.0

0.179

0.240

0.9991

31.3

0.040

0.9381

5.0

0.090

0.256

0.9792

64.1

0.020

0.9789

8.0

0.045

0.055

0.8587

67.3

0.009

0.8501

Model for orthophosphates

pH ± 0.2

Pseudo-second order

Elovich

qe mg de P g-1

k2 g mg P-1 min-1

R2

α mg P g biochar-1 min-1

β g mg P-1

R2

3.0

− 0.797

0.279

0.9910

0.00006

0.009

0.1601

5.0

− 0.793

3.142

0.9902

− 0.066

0.021

0.0411

7.0

0.116

0.902

0.9286

3703

0.041

0.7700

  1. Where qe is the amount of PSB or orthophosphates adsorbed at time t (PSB: Log10 UFC g-1) and (orthophosphates: mg g-1), k2 is the equilibrium rate constant of pseudo-second-order adsorption (PSB: g Log10 UFC-1 min-1) and (orthophosphates: g mg P-1 min-1), α is the initial adsorption rate (PSB: Log10 CFU g-1 min-1) and (mg P g biochar-1 min-1), β is the desorption constant (PBS: g Log10 CFU-1) and (g mg P-1) during any one experiment.
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