Arabian Journal for Science and Engineering

, Volume 44, Issue 8, pp 7361–7370 | Cite as

Experimental and Theoretical Study to Optimize Rate Constants of Adsorption and Desorption of the Wastewater Treatment Using Waste of Tea Plant

  • Ahmmed Saadi IbrehemEmail author
Research Article -Systems Engineering


The present work is used to remove three multi-heavy metal components from a simulated wastewater using waste of tea (WOT). Physical, mechanical and multi-step chemical treatments were applied on the WOT as an adsorbent being used for the removal of three multi-heavy metal components from a simulated wastewater. There are new techniques of WOT adsorbents prepared for the adsorption studies, using different pH (2, 4 and 5.5). The fixed-bed column study was carried out under multilayered fixed-bed columns. It was found that the adsorption of multi-heavy metal component was significantly increased in the first layer of pH 2 removing Cr, second layer of pH 4 removing Zn and third layer of pH 5.5 removing Cu. Produce mathematical model covers the most important parameters like the effect pH, partial pressure and concentration of heavy metals effect on the rate of adsorption and desorption. Results obtained from the application of the derived model are graphically compared with experimental results, and a high degree of matching is obtained. Newton–Raphson is a numerical optimization technique used to specify the optimum values of rate constants of adsorption and desorption of the WOT for Cr, Cu and Zn to increase the performance of mathematical model. The novelty of this study is that it is used to evaluate the performance of bio-waste to remove heavy metals using more than one technique to calculate the rate constants of adsorption and desorption. Still, further studies are required to confirm with the outcomes of this study using this active technique.


Wastewater treatment Mathematical model Optimization Chemical treatment 

List of Symbols




Heavy metals

\( K_{\text{ad,1}}^{ + } \)

Rate constant adsorption of forward direction


Concentration of pollutants of adsorption surf-modified activated carbon


Concentration of adsorption


Initial concentration of adsorption


Concentration of modified activated carbon

\( K_{\text{ad,1}}^{ - } \)

Rate constant adsorption of reverse direction

\( K_{\text{Sr,1}}^{ - } \)

Rate constant desorption of reverse direction

\( K_{\text{Sr,1}}^{ + } \)

Rate constant desorption of forward direction


Partial pressure

\( r_{\text{ad}} \)

Rate of absorption


Rate of desorption


Rate of adsorption


Surface of modified activated carbon


Volumetric flow rate




Time (s)


  1. 1.
    Lagergren, S.: About the theory of so called adsorption of solute substances. Ksver Veterskapsakad Handl. 24(1898), 1–6 (1898)Google Scholar
  2. 2.
    Freundlich, H.: Over the adsorption in solution. J. Phys. Chem. 57(1906), 385–470 (1906)Google Scholar
  3. 3.
    Langmuir, I.: Adsorption of gases on plane surfaces of glass, mica, platinum. J. Am. Chem. Soc. 40(9), 1361–1403 (1918)CrossRefGoogle Scholar
  4. 4.
    Temkin, M.; Pyzhev, V.: Kinetics of ammonia synthesis on promoted iron catalysts. Acta Physiochim URSS 12(1940), 217–222 (1940)Google Scholar
  5. 5.
    Redlich, O.; Peterson, D.L.: A useful adsorption isotherm. J. Phys. Chem. 63(6), 1024–1026 (1959)CrossRefGoogle Scholar
  6. 6.
    Weber, J.; Morris, J.: Kinetics of adsorption on carbon from solutions. J. Sanit. Eng. 89(1963), 31–39 (1963)Google Scholar
  7. 7.
    Baes, C.; Messmer, R. (eds.): The hydrolysis of cations. Krieger Publishing Co., Florida (1976)Google Scholar
  8. 8.
    Poots, V.; McKay, G.; Healy, J.: Removal of basic dye from effluent using wood as an adsorbent. J. Water Pollut. Control Fed. 50(1978), 926–935 (1978)Google Scholar
  9. 9.
    Patil, C.S.; Gunjal, D.B.; Naik, V.M.; Harale, N.S.: Waste tea residue as a low cost adsorbent for removal of hydralazine hydrochloride pharmaceutical pollutant from aqueous media: an environmental remediation. J. Clean. Prod. 206(1), 407–418 (2019)CrossRefGoogle Scholar
  10. 10.
    Mahaly, M.; Senthilkumar, A.K.; Arumugam, S.; Kaliyaperumal, C.; Karupannan, N.: Vermicomposting of distillery sludge waste with tea leaf residues. Sustain. Environ. Res. 28(5), 223–227 (2018)CrossRefGoogle Scholar
  11. 11.
    Shah, J.; Rasul Jan, M.; ul Haq, A.; Zeeshan, M.: Equilibrium, kinetic and thermodynamic studies for sorption of Ni (II) from aqueous solution using formaldehyde treated waste tea leaves. J. Saudi Chem. Soc. 19(3), 301–310 (2015)CrossRefGoogle Scholar
  12. 12.
    Ahsan, M.A.; Katla, S.K.; Islam, M.T.; Hernandez-Viezcas, J.A.: Adsorptive removal of methylene blue, tetracycline and Cr(VI) from water using sulfonated tea waste. Environ. Technol. Innov. 11, 23–40 (2018)CrossRefGoogle Scholar
  13. 13.
    Cherdchoo, W.; Nithettham, S.; Charoenpanich, J.: Removal of Cr(VI) from synthetic wastewater by adsorption onto coffee ground and mixed waste tea. Chemosphere 221, 758–767 (2019)CrossRefGoogle Scholar
  14. 14.
    Aksu, Z.; Kutsa, T.: Bioseparation process for removing lead (II) ions from waste water by using vulgaris. J. Chem. Technol. Biotechnol. 52(1), 109–118 (1991)CrossRefGoogle Scholar
  15. 15.
    Kannan, K.; Sundaram, M.: Kinetics and mechanism of removal of methylene blue by adsorption on various carbons - a comparative study. Dyes Pigments 51(2001), 25–40 (2001)CrossRefGoogle Scholar
  16. 16.
    Marshall, W.; Champagne, E.; Evans, W.: Use of rice milling byproducts (hulls & bran) to remove metal ions from aqueous solution. J. Environ. Sci. Health 9(1993), 1977–1992 (1993)Google Scholar
  17. 17.
    Al-Ashesh, S.; Banat, F.; Al-Omari, R.; Duvnjak, Z.: Predictions of binary sorption isotherms for the sorption of heavy metals by pine bark using single isotherm data. Chemosphere 41(2000), 659–665 (2000)CrossRefGoogle Scholar
  18. 18.
    Ajmal, M.; Rao, R.A.K.; Ahmad, R.; Ahmad, J.: Adsorption studies on citrus reticulate (fruit peel of orange): removal and recovery of Ni(II) from electroplating wastewater. J. Hazard. Mater. 79(2000), 117–131 (2000)CrossRefGoogle Scholar
  19. 19.
    Pal, D.: Subodh Kumar Maiti, Abatement of cadmium (Cd) contamination in sediment using tea waste biochar through meso-microcosm study. J. Clean. Prod. 212(1), 986–996 (2019)CrossRefGoogle Scholar
  20. 20.
    Ankur, G.; Chandrajit, B.: Biosorptive performance of escherichia coli supported on waste tea biomass (WTB) for removal of Cr(VI) to avoid the contamination of ground water: a comparative study between biosorption and SBB system. Groundwater Sustain. Dev. 1(1–2), 12–22 (2015)Google Scholar
  21. 21.
    Boxiong, S.; Linghui, T.; Fukuan, L.; Xiao, Z.; Huan, X.; Surjit, S.: Elemental mercury removal by the modified bio-char from waste tea. Fuel 187, 189–196 (2017)CrossRefGoogle Scholar
  22. 22.
    Ricordel, S.; Taha, S.; Cisse, I.; Dorange, G.: Heavy metals removal by adsorption onto peanut husks carbon: characterization, kinetic study and modeling. Sep. Purif. Technol. 24(2001), 389–401 (2001)CrossRefGoogle Scholar
  23. 23.
    Iqbal, M.; Saeed, A.; Akhatar, N.: Petiolar felt-sheath of palm: a new bio sorbent for the removal of heavy metals from contaminated water. Bioresour. Technol. 81(2002), 151–153 (2002)CrossRefGoogle Scholar
  24. 24.
    Aksu, Z.; Acýkel, U.; Kabasakal, E.; Tezer, S.: Equilibrium modeling of individual and simultaneous biosorption of chromium(VI) and nickel(II) onto dried activated sludge. Water Res. 36(12), 3063–3073 (2002)CrossRefGoogle Scholar
  25. 25.
    Selvaraj, K.; Manonmani, S.; Pattabhi, S.: Removal of hexavalent chromium using distillery sludge. Bioresour. Technol. 89(2), 207–211 (2003)CrossRefGoogle Scholar
  26. 26.
    Nur, A.; Ahmmed, S.; Kamriah, N.: Hypothetical T-shirt model pore for waste water treatment by using modified activated carbon. Wulfina J. 19(2012), 34–56 (2012)Google Scholar
  27. 27.
    Mahavi, A.H.; Naghipour, D.; Vaezi, F.; Nazmara, S.: Teawaste as an adsorbent for heavy metal removal from industrial wastewaters. Am. J. Appl. Sci. 2(1), 372–375 (2005)CrossRefGoogle Scholar
  28. 28.
    Wasewar, K.; Mohammad, A.; Prasad, B.; Mishra, I.: Adsorption of Zn using factory tea waste: kinetics, equilibrium and thermodynamics. Clean Soil Water Air 36(3), 320–329 (2008)CrossRefGoogle Scholar
  29. 29.
    Cay, S.; Uyanik, A.; Ozasik, A.: Single and binary component adsorption on copper (II) and cadmium (II) from aqueous solution using tea industry waste. Sep. Purif. Technol. 38(2004), 273–280 (2004)CrossRefGoogle Scholar
  30. 30.
    Yujiao, K.; Qinyan, Y.; Dong, L.; Yuwei, W.; Baoyu, G.: Preparation and characterization of activated carbons from waste tea by H3PO4 activation in different atmospheres for oxytetracycline removal. J. Taiwan Inst. Chem. Eng. 71, 494–500 (2017)CrossRefGoogle Scholar
  31. 31.
    Malkoc, E.; Nuhoglu, Y.: Investigations of Nickel (II) removal from aqueous solutions using tea factory waste. J. Hazard. Mater. 127(2005), 120–127 (2005)CrossRefGoogle Scholar
  32. 32.
    Malkoc, E.; Nuhoglu, Y.: Fixed bed studies for the sorption of chromium (IV) onto tea factory waste. Chem. Eng. Sci. 61(2006), 4363–4372 (2006)CrossRefGoogle Scholar
  33. 33.
    Malkoc, E.; Nuhoglu, Y.: Removal of Ni(II) ions from aqueous solutions using waste of tea factory: adsorption on a fixed-bed column. J. Hazard. Mater. B135(2006), 328–336 (2006)CrossRefGoogle Scholar
  34. 34.
    Malkoc, E.; Nuhoglu, Y.: Potential of tea factory waste for chromium (VI) removal from aqueous solutions: thermodynamic and kinetic studies. Sep. Purif. Technol. 54(2007), 291–298 (2007)CrossRefGoogle Scholar
  35. 35.
    Amarasinghe, B.; Williams, A.: Tea waste as a low cost adsorbent for the removal of Cu and Pb from wastewater. Chem. Eng. J. 132(2007), 299–309 (2007)CrossRefGoogle Scholar
  36. 36.
    Wasewar, K.L.; Ravichandra, Y.; Anil, K.M.; Godbole, V.: Adsorption mechanism for the adsorption of heavy metals using tea waste as an adsorbent. J. Future Eng. Technol. 3(1), 41–46 (2007)Google Scholar
  37. 37.
    Wasewar, K.L.; Mohammad, A.; Prasad, B.; Mishra, I.M.: Batch adsorption of Zn using tea factory waste as an adsorbent. Desalination 244(2009), 66–71 (2009)CrossRefGoogle Scholar
  38. 38.
    Wasewar, K.L.; Mohammad, A.; Prasad, B.: Characterization of factory tea waste as an adsorbent for removal of heavy metals. J. Future Eng. Technol. 3(3), 47–53 (2008)Google Scholar

Copyright information

© King Fahd University of Petroleum & Minerals 2019

Authors and Affiliations

  1. 1.Chemical Engineering DepartmentDhofar UniversitySalalahOman

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