, Volume 21, Issue 5, pp 661–680 | Cite as

On the biosorption, by brown seaweed, Lobophora variegata, of Ni(II) from aqueous solutions: equilibrium and thermodynamic studies

Original Paper


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.


Lobophora variegata Biosorption Isotherm models Nickel Thermodynamics 

List of symbols


Constant in linear with intercept isotherm model


Khan model exponent


Radke-Prausnitz isotherm constant


Redlich-Peterson model constant (l mg−1)


Sips isotherm constant


Fritz-Schluender four-parameter model constant


Harkins–Jura model constant


Koble-Carrigan isotherm constant


Constant in linear with intercept isotherm model


Khan isotherm constant


Toth isotherm constant


Constant in Temkin sorption isotherm (J mol−1)


Constant in Dubinin-Radushkevich sorption model (mol2 kJ−2)


Constant in Fritz-Schluender four-parameter model


Koble-Carrigan isotherm constant


Equilibrium concentration of sorbate in solution (mg l−1)


Polanyi potential (kJ mol−1)


Frukin model constant


Freundlich isotherm constant (l g−1)


Fowler–Guggenheim equilibrium constant (l mg−1)


Henry’s law constant (l g−1)


Langmuir isotherm equilibrium binding constant (l mg−1)


Redlich-Peterson isotherm constant (l g−1)


Sips isotherm constant (l g−1)


Temkin isotherm constant (l mg−1)


Number of experimental data points


Exponent in Freundlich isotherm


Halsey isotherm constant


Koble-Carrigan model exponent


Toth isotherm constant


Number of parameters in the sorption isotherm


Amount of sorbate sorbed at equilibrium (mg g−1)


Observed sorption capacity of batch experiment i


Maximum sorption capacity (mg g−1)


Amount of sorbate sorbed at time t (mg g−1)


Estimated sorption capacity of batch experiment i


Radke-Prausnitz isotherm constant


Universal gas constant, 8.314 J mol−1 K−1


Correlation coefficient


Langmuir separation factor


Standard error


Sum of squares error


The interaction energy between adsorbed molecules (kJ mol−1)


Radke-Prausnitz isotherm constant


Fritz-Schluender five-parameter model sorption capacity (mg g−1)

\( \alpha_{1}^{\prime } \)

Fritz-Schluender five-parameter model constant


Fritz-Schluender five-parameter model constant


Fritz-Schluender four-parameter model exponent


Redlich-Peterson isotherm constant


Fritz-Schluender five-parameter model exponent


Fritz-Schluender five-parameter model exponent


Fritz-Schluender four-parameter model exponent


Sips model exponent


Surface coverage


Gibbs free energy change (kJ mol−1)


Enthalpy change (kJ mol−1)


Entropy change (kJ mol−1 K−1)



The financial support received from CSIR (NWP 018) and from MoES to carry out the study is thankfully acknowledged.

Supplementary material

10532_2010_9333_MOESM1_ESM.doc (138 kb)
(DOC 138 kb)


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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Discipline of Marine Biotechnology & EcologyCentral Salt and Marine Chemicals Research Institute (Council of Scientific and Industrial Research)BhavnagarIndia

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