Table 1 Models of the adsorptions.

From: Development of a treatment for water contaminated with Cr (VI) using cellulose xanthogenate from E. crassipes on a pilot scale

Model Thomas

\(\ln \frac{{{\text{Co}}}}{{\text{C}}} - 1 = \frac{{\text{Kth*q*m}}}{{\text{Q}}} - {\text{Kth*Co*Tb}}\)

Model Yoon

\(\frac{{\text{C}}}{Co} = \frac{1}{{1 + \exp (Kyn\left( {y - t} \right)}}{\text{qN}} = \frac{{{\text{TbCoQ}}}}{m}\)

Model Bohart

\({\text{Tb}} = \frac{{{\text{No}}}}{CoU}Z - 1\ln \frac{1}{KbCo}{\text{ln}}\left( {\frac{co}{c} - 1} \right)\)

  1. Where Co Initial concentration of Cr (VI), C Final Cr (VI), V volume, KTh Thomas constant (ml/mg*min), q Adsorption capacity (mg Cr /g biomass), m Mass of biomass in column (g), Q Flow rate through the column (ml/min), Tb Time of rupture (min), K YN constant Yoon y Nelson (1/h), q γ Capacity (mg/g), Z bed height (cm), U is the linear flow rate (cm/min1), Kb Bohart constant (1/h).
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