The linear form of the pseudo second order equation can also be written as:where is the amount of Cr(VI) adsorbed at equilibrium (mg g^{−1}) and *K*_{2} is equilibrium rate constant of the second order kinetics model (mg(g min)^{−1}). against *t* determines rate constant *K*_{2} and *R*^{2} values (Ho & McKay 1999)*. K*_{1}, *q*_{e}, and *R*^{2} (correlation coefficient for the first order kinetic model) and *K*_{2}, *q*_{e}, and *R*^{2} (correlation coefficient for the second order kinetic model) values are obtained and are presented in Table 2 *.* According to the results, the data obtained through the process of biosorption of chromium using AGHP conform to and follow the pseudo first order kinetic model .

4

Table 2

Model . | Pseudo first order equation . | Pseudo second order equation . | Weber and Morris model . |
---|---|---|---|

Equation | |||

Plot | |||

Concentration | 20 | 20 | 20 |

Fitted model | |||

R^{2} | 0.854 | 0.980 | 0.896 |

Constant | |||

Calculated q_{e} (q_{e.cal}) | – | ||

Experimental q_{e} (q_{e.exp}) | – | ||

2.80% | 0.72% | – |

Model . | Pseudo first order equation . | Pseudo second order equation . | Weber and Morris model . |
---|---|---|---|

Equation | |||

Plot | |||

Concentration | 20 | 20 | 20 |

Fitted model | |||

R^{2} | 0.854 | 0.980 | 0.896 |

Constant | |||

Calculated q_{e} (q_{e.cal}) | – | ||

Experimental q_{e} (q_{e.exp}) | – | ||

2.80% | 0.72% | – |

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