Dynamics of Adsorption of Copper Ions in Fixed-Bed Column and Mathematical Interpretation of the First Stage of the Process

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dc.citation.epage273
dc.citation.issue2
dc.citation.spage267
dc.contributor.affiliationLviv National Polytechnic University
dc.contributor.affiliationGzhytskyi National University of Veterinary Medicine and Biotechnologies
dc.contributor.authorGumnitsky, Jaroslaw
dc.contributor.authorSabadash, Vira
dc.contributor.authorMatsuska, Oksana
dc.contributor.authorLyuta, Oksana
dc.contributor.authorHyvlud, Anna
dc.contributor.authorVenger, Lubov
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2024-01-22T11:12:58Z
dc.date.available2024-01-22T11:12:58Z
dc.date.created2022-03-16
dc.date.issued2022-03-16
dc.description.abstractЕкспериментально досліджено динаміку процесу адсорбції у нерухомому шарі адсорбенту на прикладі системи природний цеоліт – водний розчин солі купруму низьких концентрацій, які характерні для процесів очищення стічних вод від токсичних забруднень. Побудовано вихідні криві процесу адсорбції для висоти шару сорбенту 5 та 7см. Рівновагу таких процесів можна описати лінійним рівнянням Генрі. Процес адсорбції у шарі складається з двох стадій, які розглянуто у дослідженні. Перша стадія полягає у формуванні фронту концентрацій, друга – у переміщенні фронту. Сума часу першої та другої стадій становлять загальний час адсорбції, який визначається до проскоку. Перша стадія адсорбції математично сформульована диференціальним рівнянням молекулярної дифузії з граничною умовою першого роду. Друга стадія доповнена балансовим рівнянням, що враховує не лише зміну концентрації у часі, але і по вертикальній координаті та визначає час переміщення фронту концентрацій до проскоку. Розроблено математичну модель процесу адсорбції у нерухомому шарі сорбенту. Порівняно експериментальні дані та теоретичні розрахунки. Результати статистичного розрахунку результатів досліджень показали задовільну збіжність експериментальних та теоретичних даних.
dc.description.abstractThe dynamics of the adsorption process in the fixed-bed column was experimentally studied on the example of the system natural zeolite - water solution of copper salt with low concentrations, which are characteristic for wastewater treatment processes from toxic contaminants. The initial curves of the adsorption process for the height of the sorbent layer of 5 and 7 cm were constructed. The equilibrium of such processes can be described by Henry's linear equation. The adsorption process in the layer consists of two stages, which are examined in the study. The first stage is the formation of concentration front and the second one – its moving. The sum of the time of the first and second stages is the total adsorption time, which is determined before breakthrough time. The first stage of adsorption is mathematically formulated by the differential equation of molecular diffusion with a boundary condition of the first type. The second stage is supplemented by the balance equation, which takes into account not only the change of concentration in time, but also in the vertical coordinate and determines the time of movement of concentration front to breakthrough time. A mathematical model of the adsorption process in a fixed-bed column has been developed. Experimental data and theoretical calculations were compared. The results of statistical calculation of research results showed a satisfactory convergence of experimental and theoretical data.
dc.format.extent267-273
dc.format.pages7
dc.identifier.citationDynamics of Adsorption of Copper Ions in Fixed-Bed Column and Mathematical Interpretation of the First Stage of the Process / Jaroslaw Gumnitsky, Vira Sabadash, Oksana Matsuska, Oksana Lyuta, Anna Hyvlud, Lubov Venger // Chemistry & Chemical Technology. — Lviv : Lviv Politechnic Publishing House, 2022. — Vol 16. — No 2. — P. 267–273.
dc.identifier.citationenDynamics of Adsorption of Copper Ions in Fixed-Bed Column and Mathematical Interpretation of the First Stage of the Process / Jaroslaw Gumnitsky, Vira Sabadash, Oksana Matsuska, Oksana Lyuta, Anna Hyvlud, Lubov Venger // Chemistry & Chemical Technology. — Lviv : Lviv Politechnic Publishing House, 2022. — Vol 16. — No 2. — P. 267–273.
dc.identifier.doidoi.org/10.23939/chcht16.02.267
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/60967
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofChemistry & Chemical Technology, 2 (16), 2022
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dc.relation.references[10] Gumnitsky, J.M.; Sabadash, V.V. Mathematical Model of Adsorption Dynamics in a Column-Type Apparatus. 6th International Scientific and Practical Conference “Computer Modeling in Chemistry, Technologies and Systems of Sustainable Development – ChTCTST-2018”, Kyiv, Ukraine, 2018. (in Ukrainian).
dc.relation.references[11] Li, H.; Wang, F.; Li, J.; Deng, S.; Zhang, S. Adsorption of Three Pesticides on Polyethylene Microplastics in Aqueous Solutions: Kinetics, Isotherms, Thermodynamics, and Molecular Dynamics Simulation. Chemosphere 2021, 264, 128556. https://doi.org/10.1016/j.chemosphere.2020.128556
dc.relation.references[12] Salih, A.M.; Williams, C.; Khanaqa, PA. Heavy Metal Removals from Industrial Wastewater Using Modified Zeolite: Study the Effect of Pre-Treatment. Journal of Garmian University 2019, 6, 406-416. https://doi.org/10.24271/garmian.196233
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dc.relation.references[19] Symak, D.M.; Sklabinsky, V.I. Extraction of Soluble Components from Porous Inert Parts. Scientific Bulletin of UNFU 2018, 28, 70-73. (in Ukrainian).
dc.relation.references[20] Zasidko, I.; Polutrenko, M.; Mandryk, O.; Stakhmych, Y.;Petroshchuk, N. Complex Technology of Sewage Purification from Heavy-Metal Ions by Natural Adsorbents and Utilization of Sewage Sludge. J. Ecol. Eng. 2019, 20, 209-216. https://doi.org/10.12911/22998993/105576
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dc.relation.references[22] Edebali, S.; Pehlivan, E. Evaluation of Chelate and Cation Exchange Resins to Remove Copper Ions. Powder Technol. 2016, 301, 520-525. https://doi.org/10.1016/j.powtec.2016.06.011
dc.relation.references[23] Sabadash, V.; Gumnitsky, J.; Mylianyk, O.; Romaniuk, L. Concurrent Sorption of Copper and Chromium Cations by Natural Zeolite. Environmental problems 2017, 2, 33-36. http://nbuv.gov.ua/UJRN/envpr_2017_2_1_9
dc.relation.references[24] Sabadash, V.; Gumnitsky, J.; Lyuta, O. Combined Adsorption of the Copper and Chromium Cations by Clinoptilolite of the Sokyrnytsya Deposit. J. Ecol. Eng. 2020, 21, 42-46. https://doi.org/10.12911/22998993/122185
dc.relation.references[25] Romankov, P.; Frolov, V.; Flisyuk, O. Massoobmennyye protsessy khimicheskoy tekhnologii; Khimizdat: Sankt-Peterburg, 2017.
dc.relation.references[26] Atamanyuk, V.; Huzova, I.; Gnativ, Z. Intensification of Drying Process During Activated Carbon Regeneration. Chem. Chem. Technol. 2018, 12, 263-271. https://doi.org/10.23939/chcht12.02.26
dc.relation.referencesen[1] Cheng, T.; Chen, C.; Tang, R.; Han, C.-H.; Tian, Y. Competitive Adsorption of Cu, Ni, Pb, and Cd from Aqueous Solution Onto Fly Ash-Based Linde F(K) Zeolite. IJCCE 2018, 37, 61-72. https://doi.org/10.30492/IJCCE.2018.31971.
dc.relation.referencesen[2] Trokhymenko, G.; Gomelya, M. Development of Low Waste Technology of Water Purification from Copper Ions. Chem. Chem. Technol. 2017, 11, 372-377. https://doi.org/10.23939/chcht11.03.372
dc.relation.referencesen[3] Ates, A.; Akgül, G. Modification of Natural Zeolite with NaOH for Removal of Manganese in Drinking Water. Powder Technol. 2016, 287, 285-291. https://doi.org/10.1016/j.powtec.2015.10.021
dc.relation.referencesen[4] Symak, D.; Sabadash, V.; Gumnitsky, J.; Hnativ, Z. Kinetic Regularities and Mathematical Modelling of Potassium Chloride Dissolution. Chem. Chem. Technol. 2021, 15, 148-152. https://doi.org/10.23939/chcht15.01.148
dc.relation.referencesen[5] Kithome, M.; Paul, J.W.; Lavkulich, L.M.; Bomke, A.A. Effect of pH on Ammonium Adsorption by Natural Zeolite Clinoptilolite. Commun Soil Sci Plant Anal. 1999, 30, 1417-1430.
dc.relation.referencesen[6] Naidu, H.; Mathews, A.P. Linear Driving Force Analysis of Adsorption Dynamics in Stratified Fixed-Bed Adsorbers. Sep. Purif. Technol. 2021, 257, 117955. https://doi.org/10.1016/j.seppur.2020.117955
dc.relation.referencesen[7] Lee, K.-Y.; Park, M.; Kim, J.; Oh, M.; Lee, E.-H. Equilibrium, Kinetic and Thermodynamic Study of Cesium Adsorption onto Nanocrystalline Mordenite from High-Salt Solution. Chemosphere 2016, 150, 765-771. https://doi.org/10.1016/j.chemosphere.2015.11.072
dc.relation.referencesen[8] Sabadash, V.; Gumnitsky, J.; Lyuta, O.; Pochapska, I. Thermodynamics of (NH4+) Cation Adsorption under Static Conditions. Chem. Chem. Technol. 2018, 12, 143-146. https://doi.org/10.23939/chcht12.02.143
dc.relation.referencesen[9] Wang, Z.; Tan, K.; Cai, J.; Hou, S.; Wang, Y.; Jiang, P.; Liang, M. Silica Oxide Encapsulated Natural Zeolite for High Efficiency Removal of Low Concentration Heavy Metals in Water. Colloids Surf. A Physicochem. Eng. Asp. 2019, 561, 388-394. https://doi.org/10.1016/j.colsurfa.2018.10.065
dc.relation.referencesen[10] Gumnitsky, J.M.; Sabadash, V.V. Mathematical Model of Adsorption Dynamics in a Column-Type Apparatus. 6th International Scientific and Practical Conference "Computer Modeling in Chemistry, Technologies and Systems of Sustainable Development – ChTCTST-2018", Kyiv, Ukraine, 2018. (in Ukrainian).
dc.relation.referencesen[11] Li, H.; Wang, F.; Li, J.; Deng, S.; Zhang, S. Adsorption of Three Pesticides on Polyethylene Microplastics in Aqueous Solutions: Kinetics, Isotherms, Thermodynamics, and Molecular Dynamics Simulation. Chemosphere 2021, 264, 128556. https://doi.org/10.1016/j.chemosphere.2020.128556
dc.relation.referencesen[12] Salih, A.M.; Williams, C.; Khanaqa, PA. Heavy Metal Removals from Industrial Wastewater Using Modified Zeolite: Study the Effect of Pre-Treatment. Journal of Garmian University 2019, 6, 406-416. https://doi.org/10.24271/garmian.196233
dc.relation.referencesen[13] Dignos, E.C.G.; Gabejan, K.E.A.; Olegario-Sanchez, E.M.; Mendoza, H.D. The Comparison of the Alkali-Treated and Acid-Treated Naturally Mined Philippine Zeolite for Adsorption of Heavy Metals in Highly Polluted Waters. IOP Conference Series: Materials Science and Engineering 2019, 478, 012030.
dc.relation.referencesen[14] Esmaeili, A.; Mobini, M.; Eslami, H. Removal of Heavy Metals from Acid Mine Drainage by Native Natural Clay Minerals, Batch and Continuous Studies. Appl. Water Sci. 2019, 9, 97. https://doi.org/10.1007/s13201-019-0977-x
dc.relation.referencesen[15] Sabadash, V.; Mylanyk, O.; Matsuska, O.; Gumnitsky, J. Kinetic Regularities of Copper Ions Adsorption by Natural Zeolite. Chem. Chem. Technol. 2017, 11, 459–462. https://doi.org/10.23939/chcht11.04.459
dc.relation.referencesen[16] Hyvlud, A.; Sabadash, V.; Gumnitsky, J.; Ripak, N. Statics and Kinetics of Albumin Adsorption by Natural Zeolite. Chem. Chem. Technol. 2019, 13, 95-100. https://doi.org/10.23939/chcht13.01.095
dc.relation.referencesen[17] Mahmoodi, N.M.; Saffar-Dastgerdi, M.H. Zeolite Nanoparticle as a Superior Adsorbent with High Capacity: Synthesis, Surface Modification and Pollutant Adsorption Ability from Wastewater. Microchem. J. 2019, 145, 74-83. https://doi.org/10.1016/j.microc.2018.10.018
dc.relation.referencesen[18] Symak, D.M.; Lyuta, O.V. Nestatsionarny process rozchynennya sharu zernystogo material. Bulletin of Lviv Polytechnic National University: Chemistry, technology of substances and their application 2015, 812, 308-312. (in Ukrainian).
dc.relation.referencesen[19] Symak, D.M.; Sklabinsky, V.I. Extraction of Soluble Components from Porous Inert Parts. Scientific Bulletin of UNFU 2018, 28, 70-73. (in Ukrainian).
dc.relation.referencesen[20] Zasidko, I.; Polutrenko, M.; Mandryk, O.; Stakhmych, Y.;Petroshchuk, N. Complex Technology of Sewage Purification from Heavy-Metal Ions by Natural Adsorbents and Utilization of Sewage Sludge. J. Ecol. Eng. 2019, 20, 209-216. https://doi.org/10.12911/22998993/105576
dc.relation.referencesen[21] Bolisetty, S.; Peydayesh, M.; Mezzenga, R. Sustainable Technologies for Water Purification from Heavy Metals: Review and Analysis. Chem. Soc. Rev. 2019, 48, 463-487. https://doi.org/10.1039/P.8CS00493E
dc.relation.referencesen[22] Edebali, S.; Pehlivan, E. Evaluation of Chelate and Cation Exchange Resins to Remove Copper Ions. Powder Technol. 2016, 301, 520-525. https://doi.org/10.1016/j.powtec.2016.06.011
dc.relation.referencesen[23] Sabadash, V.; Gumnitsky, J.; Mylianyk, O.; Romaniuk, L. Concurrent Sorption of Copper and Chromium Cations by Natural Zeolite. Environmental problems 2017, 2, 33-36. http://nbuv.gov.ua/UJRN/envpr_2017_2_1_9
dc.relation.referencesen[24] Sabadash, V.; Gumnitsky, J.; Lyuta, O. Combined Adsorption of the Copper and Chromium Cations by Clinoptilolite of the Sokyrnytsya Deposit. J. Ecol. Eng. 2020, 21, 42-46. https://doi.org/10.12911/22998993/122185
dc.relation.referencesen[25] Romankov, P.; Frolov, V.; Flisyuk, O. Massoobmennyye protsessy khimicheskoy tekhnologii; Khimizdat: Sankt-Peterburg, 2017.
dc.relation.referencesen[26] Atamanyuk, V.; Huzova, I.; Gnativ, Z. Intensification of Drying Process During Activated Carbon Regeneration. Chem. Chem. Technol. 2018, 12, 263-271. https://doi.org/10.23939/chcht12.02.26
dc.relation.urihttps://doi.org/10.30492/IJCCE.2018.31971
dc.relation.urihttps://doi.org/10.23939/chcht11.03.372
dc.relation.urihttps://doi.org/10.1016/j.powtec.2015.10.021
dc.relation.urihttps://doi.org/10.23939/chcht15.01.148
dc.relation.urihttps://doi.org/10.1016/j.seppur.2020.117955
dc.relation.urihttps://doi.org/10.1016/j.chemosphere.2015.11.072
dc.relation.urihttps://doi.org/10.23939/chcht12.02.143
dc.relation.urihttps://doi.org/10.1016/j.colsurfa.2018.10.065
dc.relation.urihttps://doi.org/10.1016/j.chemosphere.2020.128556
dc.relation.urihttps://doi.org/10.24271/garmian.196233
dc.relation.urihttps://doi.org/10.1007/s13201-019-0977-x
dc.relation.urihttps://doi.org/10.23939/chcht11.04.459
dc.relation.urihttps://doi.org/10.23939/chcht13.01.095
dc.relation.urihttps://doi.org/10.1016/j.microc.2018.10.018
dc.relation.urihttps://doi.org/10.12911/22998993/105576
dc.relation.urihttps://doi.org/10.1039/C8CS00493E
dc.relation.urihttps://doi.org/10.1016/j.powtec.2016.06.011
dc.relation.urihttp://nbuv.gov.ua/UJRN/envpr_2017_2_1_9
dc.relation.urihttps://doi.org/10.12911/22998993/122185
dc.relation.urihttps://doi.org/10.23939/chcht12.02.26
dc.rights.holder© Національний університет “Львівська політехніка”, 2022
dc.rights.holder© Gumnitsky J., Sabadash V., Matsuska O., Lyuta O., Hyvlud A., Venger L., 2022
dc.subjectадсорбція
dc.subjectнерухомий шар
dc.subjectдинаміка
dc.subjectпроскок
dc.subjectстадії адсорбції
dc.subjectматематична модель
dc.subjectadsorption
dc.subjectfixed-bed column
dc.subjectdynamics
dc.subjectbreakthrough time
dc.subjectadsorption stages
dc.subjectmathematical model
dc.titleDynamics of Adsorption of Copper Ions in Fixed-Bed Column and Mathematical Interpretation of the First Stage of the Process
dc.title.alternativeДинаміка адсорбції йонів купруму у нерухомому шарі адсорбента та математична інтерпретація першої стадії процесу
dc.typeArticle

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Chemistry & Chemical Technology. – 2022. – Vol. 16, No. 2