The 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.
 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.
 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
 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
 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
 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.
 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
 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
 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
 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
 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).
 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
 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
 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.
 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
 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
 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
 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
 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).
 Symak, D.M.; Sklabinsky, V.I. Extraction of Soluble Components from Porous Inert Parts. Scientific Bulletin of UNFU 2018, 28, 70-73. (in Ukrainian).
 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
 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/C8CS00493E
 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
 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
 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
 Romankov, P.; Frolov, V.; Flisyuk, O. Massoobmennyye protsessy khimicheskoy tekhnologii; Khimizdat: Sankt-Peterburg, 2017.
 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