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Statistical physics modeling of synthetic dyes adsorption onto Spirulina platensis nanoparticles

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Abstract

Experimental adsorption of synthetic dyes, FD&C red no. 40 and Tartrazine, onto Spirulina platensis has been analyzed using a statistical physics treatment at different temperatures (298, 308, 318, and 328 K) and at different values of pH (4, 6, and 8). The statistical physics formalism was used to develop the analytical expressions of models. The interpretation of the adsorption of these dyes on Spirulina platensis was achieved by choosing the adequate model and by presenting the evolution of the parameters involved in the analytical expression of this model such as the number of adsorbed dye molecules per site (nd), the receptor sites density (Dr), the adsorbed quantity at saturation (qs), and the molar adsorption energy (ΔE). Thus, several interpretations and results describing the adsorption of dyes on Spirulina platensis are extracted regarding the behaviors of these parameters at different temperatures and different values of pH. Thermodynamic functions such as the Gibbs free energy, the internal energy, and the entropy are studied at different values of pH.

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Abbreviations

t:

Time

q t :

Adsorbed quantity at time t

C di :

Initial concentration of dye in solution

C dt :

Concentration of dye at time t

m d :

Adsorbent mass.

n d :

Number of adsorbed molecules per site

n a :

Anchorage number

z r :

Grand canonical partition function for a single site

k B :

Boltzmann constant

T:

Absolute temperature

x i :

State of occupation of one site

D r :

Density of the effectively occupied sites per mass unit of adsorbent

Z r :

Grand canonical partition function describing the microscopic states of the system

z t :

Translation partition function

M :

Dye molecule

S :

Receptor site molecule

q :

Adsorbed quantity of dye

C :

Dye concentration

C s :

Solubility of the dye in the water

R:

Universal gas constant

q s :

Quantity adsorbed at saturation

C hs :

Concentration at half-saturation

ΔE :

Molar adsorption energy

R 2 :

Adjustment coefficient

pHzpc :

The point of zero charge

G :

Gibbs free enthalpy

E int :

Internal energy

S:

Entropy

(–ε):

energy of adsorption of dye onto spirulina

μ :

chemical potential of the adsorbate molecule at adsorbed state

Ω:

grand canonical potential

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Authors and Affiliations

  1. Laboratory of Quantum Physics UR 11 ES 54, Faculty of Sciences of Monastir, Environnement Street, 5019, Monastir, Tunisia

    Yosra Ben Torkia & Abdelmottaleb Ben Lamine

  2. Chemical Engineering Department, Federal University of Santa Maria – UFSM, 1000 Roraima Avenue, Santa Maria, RS, 97105–900, Brazil

    Guilherme Luiz Dotto

Authors
  1. Yosra Ben Torkia
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  2. Guilherme Luiz Dotto
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  3. Abdelmottaleb Ben Lamine
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Corresponding author

Correspondence to Yosra Ben Torkia.

Additional information

Responsible editor: Tito Roberto Cadaval Jr

Headings

• Experimental adsorption isotherms of FD&C red no. 40 and Tartrazine on Spirulina platensis nanoparticles were fitted by using statistical physics formalism.

• The three layer model was the best to fit the experimental isotherms.

• The lowest values of the adsorbed quantity of Tartrazine and FD&C red no. 40 on Spirulina platensis at saturation were detected at higher value of pH.

• Adsorption process of Tartrazine is a multi-molecular adsorption.

• FD&C red no. 40 resides parallel to the surface of Spirulina platensis.

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Ben Torkia, Y., Dotto, G.L. & Ben Lamine, A. Statistical physics modeling of synthetic dyes adsorption onto Spirulina platensis nanoparticles. Environ Sci Pollut Res 25, 28973–28984 (2018). https://doi.org/10.1007/s11356-018-2898-x

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  • DOI: https://doi.org/10.1007/s11356-018-2898-x

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