Arabian Journal for Science and Engineering

, Volume 43, Issue 11, pp 5881–5889 | Cite as

Comparison of Ultrasound and Conventional Technique for Removal of Methyl Orange by Luffa Cylindrica Fibers

  • Hasan DemirEmail author
  • Meryem Arzu Deveci
Research Article - Chemical Engineering


The aim of this study is to investigate the effect of ultrasound propagation on the adsorption of methyl orange by Luffa cylindrica. Kinetics of adsorption was studied at 30 and 50 \({^{\circ }}\hbox {C}\). Adsorption isotherms were investigated at three different medium temperatures (30, 40 and 50 \({^{\circ }}\hbox {C}\)) for ultrasound and shaking water baths. The obtained adsorption isotherms were modeled by Freundlich, Temkin, Dubinin–Radushkevich and Chakraborty and Sun isotherm models. Diffusion coefficients of the methyl orange were found as \(8.65 \times 10^{-15}\) and \(1.43\times 10^{-14} \hbox {m}^{2}/\hbox {s}\) for shaking and \(6.38\times 10^{-14}\) and \(9.94\times 10^{-13} \hbox {m}^{2}/\hbox {s}\) for ultrasound water bath at medium temperatures of 30 and 50 \({^{\circ }}\hbox {C}\), respectively.


Adsorption Ultrasound propagation Methyl orange Luffa cylindrica 

List of symbols


Initial liquid-phase concentration of MO (mg/l)


Equilibrium liquid-phase concentration of MO (mg/l)


Volume of the solution (l)


Mass of the luffa fibers (g)


Langmuir constant (l/mg)


MO concentration at equilibrium in fiber (mg/g)


MO concentration when monolayer forms onto fiber (mg/g)


Freundlich sorption capacity


Freundlich sorption intensity


Amount of adsorbed MO at any time (mg/g)


Equilibrium rate constant of pseudo-first-order adsorption (min\(^{-1}\))


Rate constant of pseudo-second-order adsorption (g/mg min)


Intraparticle diffusion rate constant \((\hbox {mol/g}\,\hbox {min}^{1/2})\)


Universal gas constant (\(8.314\,\hbox {J mol}^{-1}\,\hbox {K}^{-1}\))

\({q}_{\infty }\)

Mass of MO at equilibrium (mg/g)


Radius of the luffa fiber (m)


Diffusion coefficient \((\hbox {m}^{2}/\hbox {s})\)


Temkin isotherm constant (L/g)


Temkin constant related to heat of sorption (J/mol)


Theoretical maximum capacity (mol/g)

\(\upvarepsilon \)

Polanyi potential


D–R isotherm constant \((\hbox {mol}^{2}/ \hbox {kJ}^{2})\)


Mean energy of sorption (kJ/mol)

\(\theta \)

Fractional coverage

\(\phi \)*

Factor related to heat of adsorption (mg/l)


Liquid-phase concentration of MO (mg/l)

\(\upbeta \)

Loading factor

\(\phi _{\mathrm{m}}\)

Minimum potential energy (kJ/kg)


Heterogeneity factor


Compressibility factor


Adsorbent–adsorbate interaction factor


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The contributions of undergraduate students Akkaya N., Şen G.E., Şen E. and Konur F., are greatly acknowledged by the authors.


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Copyright information

© King Fahd University of Petroleum & Minerals 2018

Authors and Affiliations

  1. 1.Department of Chemical EngineeringOsmaniye Korkut Ata UniversityOsmaniyeTurkey
  2. 2.Department of ChemistryOsmaniye Korkut Ata UniversityOsmaniyeTurkey

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