Table 4

Kinetic model . | Initial phenol conc. (mg/L) . | Correlation coefficient . | Critical values . | Result . |
---|---|---|---|---|

Reichenberg model | 40 | 0.99727 | – | Since the value of correlation coefficient is above 0.8, the adsorption process is of film diffusion |

80 | 0.99401 | |||

120 | 0.98114 | |||

160 | 0.89713 | |||

200 | 0.96188 | |||

Fick model | 40 | 0.85138 | – | The linear segments of the curve implied that the film diffusion and intraparticle diffusion take 240 min each |

80 | 0.96143 | |||

120 | 0.94485 | |||

160 | 0.99129 | |||

200 | 0.95862 | |||

Furusawa and Smith model | 40 | 0.80328 | β = 1.443 × 10^{−11} cm/sec | The value of correlation coefficient above 0.8 suggests that phenol moves faster from bulk to solid stage |

80 | 0.92623 | β = 2.686 × 10^{−12} cm/sec | ||

120 | 0.91017 | β = 2.296 × 10^{−12} cm/sec | ||

160 | 0.91821 | β = 1.945 × 10^{−12} cm/sec | ||

200 | 0.91836 | β = 1.527 × 10^{−12} cm/sec | ||

Elovich model | 40 | 0.91825 | – | The value of correlation coefficient above 0.8 supports that the adsorption process is chemical |

80 | 0.97684 | |||

120 | 0.92974 | |||

160 | 0.91792 | |||

200 | 0.92666 | |||

Boyd model | 40 | 0.99885 | D_{e} = 1.276 × 10^{−13} m^{2}/sec | The value of the diffusion coefficient being within 10^{−9} and 10^{−17} supports that the process is chemisorption |

80 | 0.99674 | D_{e} = 2.080 × 10^{−13} m^{2}/sec | ||

120 | 0.97571 | D_{e} = 1.468 × 10^{−13} m^{2}/sec | ||

160 | 0.88583 | D_{e} = 1.602 × 10^{−13} m^{2}/sec | ||

200 | 0.95448 | D_{e} = 1.473 × 10^{−13} m^{2}/sec |

Kinetic model . | Initial phenol conc. (mg/L) . | Correlation coefficient . | Critical values . | Result . |
---|---|---|---|---|

Reichenberg model | 40 | 0.99727 | – | Since the value of correlation coefficient is above 0.8, the adsorption process is of film diffusion |

80 | 0.99401 | |||

120 | 0.98114 | |||

160 | 0.89713 | |||

200 | 0.96188 | |||

Fick model | 40 | 0.85138 | – | The linear segments of the curve implied that the film diffusion and intraparticle diffusion take 240 min each |

80 | 0.96143 | |||

120 | 0.94485 | |||

160 | 0.99129 | |||

200 | 0.95862 | |||

Furusawa and Smith model | 40 | 0.80328 | β = 1.443 × 10^{−11} cm/sec | The value of correlation coefficient above 0.8 suggests that phenol moves faster from bulk to solid stage |

80 | 0.92623 | β = 2.686 × 10^{−12} cm/sec | ||

120 | 0.91017 | β = 2.296 × 10^{−12} cm/sec | ||

160 | 0.91821 | β = 1.945 × 10^{−12} cm/sec | ||

200 | 0.91836 | β = 1.527 × 10^{−12} cm/sec | ||

Elovich model | 40 | 0.91825 | – | The value of correlation coefficient above 0.8 supports that the adsorption process is chemical |

80 | 0.97684 | |||

120 | 0.92974 | |||

160 | 0.91792 | |||

200 | 0.92666 | |||

Boyd model | 40 | 0.99885 | D_{e} = 1.276 × 10^{−13} m^{2}/sec | The value of the diffusion coefficient being within 10^{−9} and 10^{−17} supports that the process is chemisorption |

80 | 0.99674 | D_{e} = 2.080 × 10^{−13} m^{2}/sec | ||

120 | 0.97571 | D_{e} = 1.468 × 10^{−13} m^{2}/sec | ||

160 | 0.88583 | D_{e} = 1.602 × 10^{−13} m^{2}/sec | ||

200 | 0.95448 | D_{e} = 1.473 × 10^{−13} m^{2}/sec |

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