Abstract
Fishbone as a main backfill material of permeable reactive barrier to remediate groundwater contaminated with Co and Sr was investigated through single- and bi-solute competitive sorptions. The single-solute sorption data were fitted by Freundlich, Langmuir and Dubinin-Radushkevich models. The coefficients of determination (R 2 > 0.91) indicated that all models fitted well. Maximum sorption capacities (q mL ) of Co and Sr predicted by the Langmuir model were 0.55 mmol/g and 0.50 mmol/g, respectively. The bi-solute competitive sorption of the metals was analyzed by the Langmuir, competitive Langmuir, Sheindorf-Rebhun-Sheintuch (SRS) and P-factor models. The sorbed amount of one solute in bi-solute system decreased due to competition with the other solute. Langmuir model parameters for single- (q mL and b L ) and bi-solute (q * mL and b * L ) competitive sorptions were compared to analyze the effect of competition between the metals. The competitive Langmuir, SRS and P-factor models predicted the bi-solute competitive sorption data well (R 2 > 0.93).
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Abbreviations
- b L :
-
Langmuir model constant (L/mmol)
- b L,i :
-
Langmuir model constant of a solute i in single-solute sorption (L/mmol)
- b * L,i :
-
Langmuir model constant of a solute i in bi-solute competitive sorption (L/mmol)
- C :
-
Aqueous-phase equilibrium concentration (mmol/L)
- C 0 :
-
Initial concentration (mmol/L) of metal in aqueous solution
- C m,i :
-
Aqueous-phase equilibrium concentration (mmol/L) of a solute i in multi-solute competitive sorption
- CLM:
-
Competitive Langmuir model
- E :
-
Mean free energy (kJ/mol) in Dubinin-Radushkevich model
- K F :
-
Freundlich sorption coefficient [(mmol/g)/(mmol/L)\( ^{{N_{F} }} \)]
- K F,i :
-
Freundlich sorption coefficient obtained from a single-solute system [(mmol/g)/(mmol/L)\( ^{{N_{F} }} \)]
- N d :
-
The number of data points
- N F :
-
Exponent in Freundlich model
- N F,i :
-
Exponent in Freundlich model obtained from a single-solute system
- P :
-
The number of parameters
- P i :
-
P-factor model parameter
- q :
-
Solid-phase equilibrium concentration (mmol/g)
- q i,exp :
-
Solid-phase equilibrium concentration of the experimental data (mmol/g)
- q i,pred :
-
Solid-phase equilibrium concentration of theoretically predicted points (mmol/g)
- q m,i :
-
Solid-phase equilibrium concentration of a solute i in multi-solute competitive sorption (mmol/g)
- q mD :
-
Maximum sorption capacity of Dubinin-Radushkevich model (mmol/g)
- q mL :
-
Maximum sorption capacity of Langmuir model (mmol/g)
- q mL,i :
-
Maximum sorption capacity of solute i in single-solute sorption predicted by Langmuir model (mmol/g)
- q * mL,i :
-
Maximum sorption capacity of solute i in bi-solute competitive sorption predicted by Langmuir model (mmol/g)
- R:
-
Gas constant, 8.314 (J/mole/K)
- R 2 :
-
Coefficient of determination
- R L :
-
Separation factor
- RMSE:
-
Root mean square error
- rss:
-
Residual sum of squares
- SSE:
-
Sum of squared errors
- T:
-
Absolute temperature (K)
- α:
-
SRS model coefficient
- α i,j :
-
Dimensionless competition coefficient for the sorption of solute i in the presence of solute j predicted by SRS model
- β:
-
Dubinin-Radushkevich model parameter (mol2/J2)
- ε:
-
Polanyi potential (J/mol)
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Acknowledgments
This research was supported by Korea Science and Engineering Foundation (KOSEF) grant funded by the Korean government, the Ministry of Education, Science and Technology (grant number: M20709005401-07B0900-40110). The authors would like to acknowledge the Korea Basic Science Institute (Daegu) and Kyungpook National University Center for Scientific Instrument for SEM–EDS, XRF and XRD analyses.
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Park, Y., Shin, W.S. & Choi, SJ. Removal of cobalt and strontium from groundwater by sorption onto fishbone. J Radioanal Nucl Chem 295, 789–799 (2013). https://doi.org/10.1007/s10967-012-1959-8
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DOI: https://doi.org/10.1007/s10967-012-1959-8