Abstract
The biosorption equilibrium isotherms of Ni(II) onto marine brown algae Lobophora variegata, which was chemically-modified by CaCl2 were studied and modeled. To predict the biosorption isotherms and to determine the characteristic parameters for process design, twenty-three one-, two-, three-, four- and five-parameter isotherm models were applied to experimental data. The interaction among biosorbed molecules is attractive and biosorption is carried out on energetically different sites and is an endothermic process. The five-parameter Fritz–Schluender model gives the most accurate fit with high regression coefficient, R 2 (0.9911–0.9975) and F-ratio (118.03–179.96), and low standard error, SE (0.0902–0.0.1556) and the residual or sum of square error, SSE (0.0012–0.1789) values to all experimental data in comparison to other models. The biosorption isotherm models fitted the experimental data in the order: Fritz–Schluender (five-parameter) > Freundlich (two-parameter) > Langmuir (two-parameter) > Khan (three-parameter) > Fritz–Schluender (four-parameter). The thermodynamic parameters such as ΔG 0, ΔH 0 and ΔS 0 have been determined, which indicates the sorption of Ni(II) onto L. variegata was spontaneous and endothermic in nature.
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Abbreviations
- A :
-
Constant in linear with intercept isotherm model
- a K :
-
Khan model exponent
- a R :
-
Radke-Prausnitz isotherm constant
- a RP :
-
Redlich-Peterson model constant (l mg−1)
- a S :
-
Sips isotherm constant
- A :
-
Fritz-Schluender four-parameter model constant
- A HJ :
-
Harkins–Jura model constant
- A KC :
-
Koble-Carrigan isotherm constant
- B :
-
Constant in linear with intercept isotherm model
- b K :
-
Khan isotherm constant
- b T :
-
Toth isotherm constant
- b Te :
-
Constant in Temkin sorption isotherm (J mol−1)
- B :
-
Constant in Dubinin-Radushkevich sorption model (mol2 kJ−2)
- B FS :
-
Constant in Fritz-Schluender four-parameter model
- B KC :
-
Koble-Carrigan isotherm constant
- C e :
-
Equilibrium concentration of sorbate in solution (mg l−1)
- E :
-
Polanyi potential (kJ mol−1)
- F :
-
Frukin model constant
- K F :
-
Freundlich isotherm constant (l g−1)
- K FG :
-
Fowler–Guggenheim equilibrium constant (l mg−1)
- K HE :
-
Henry’s law constant (l g−1)
- K L :
-
Langmuir isotherm equilibrium binding constant (l mg−1)
- K RP :
-
Redlich-Peterson isotherm constant (l g−1)
- K S :
-
Sips isotherm constant (l g−1)
- K T :
-
Temkin isotherm constant (l mg−1)
- M :
-
Number of experimental data points
- N :
-
Exponent in Freundlich isotherm
- n H :
-
Halsey isotherm constant
- n KC :
-
Koble-Carrigan model exponent
- n T :
-
Toth isotherm constant
- p :
-
Number of parameters in the sorption isotherm
- q e :
-
Amount of sorbate sorbed at equilibrium (mg g−1)
- q i :
-
Observed sorption capacity of batch experiment i
- q m :
-
Maximum sorption capacity (mg g−1)
- q t :
-
Amount of sorbate sorbed at time t (mg g−1)
- Q i :
-
Estimated sorption capacity of batch experiment i
- r R :
-
Radke-Prausnitz isotherm constant
- R :
-
Universal gas constant, 8.314 J mol−1 K−1
- R 2 :
-
Correlation coefficient
- R L :
-
Langmuir separation factor
- SE:
-
Standard error
- SSE:
-
Sum of squares error
- W FG :
-
The interaction energy between adsorbed molecules (kJ mol−1)
- Α :
-
Radke-Prausnitz isotherm constant
- α1 :
-
Fritz-Schluender five-parameter model sorption capacity (mg g−1)
- \( \alpha_{1}^{\prime } \) :
-
Fritz-Schluender five-parameter model constant
- α2 :
-
Fritz-Schluender five-parameter model constant
- αFS :
-
Fritz-Schluender four-parameter model exponent
- β:
-
Redlich-Peterson isotherm constant
- β1 :
-
Fritz-Schluender five-parameter model exponent
- β2 :
-
Fritz-Schluender five-parameter model exponent
- βFS :
-
Fritz-Schluender four-parameter model exponent
- γ:
-
Sips model exponent
- θ:
-
Surface coverage
- ΔG 0 :
-
Gibbs free energy change (kJ mol−1)
- ∆H 0 :
-
Enthalpy change (kJ mol−1)
- ∆S 0 :
-
Entropy change (kJ mol−1 K−1)
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The financial support received from CSIR (NWP 018) and from MoES to carry out the study is thankfully acknowledged.
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Basha, S., Jaiswar, S. & Jha, B. On the biosorption, by brown seaweed, Lobophora variegata, of Ni(II) from aqueous solutions: equilibrium and thermodynamic studies. Biodegradation 21, 661–680 (2010). https://doi.org/10.1007/s10532-010-9333-4
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DOI: https://doi.org/10.1007/s10532-010-9333-4