Extended Donnan-Manning theory for selective ion partition and transport in ion exchange membrane

Wang, Ruoyu; Duddu, Ravindra; Lin, Shihong

doi:10.1016/j.memsci.2023.121782

Extended Donnan-Manning theory for selective ion partition and transport in ion exchange membrane

Journal Article · Thu May 25 00:00:00 EDT 2023 · Journal of Membrane Science

DOI:https://doi.org/10.1016/j.memsci.2023.121782· OSTI ID:2424741

^[1]; Duddu, Ravindra ^[1]; ^[1]

Vanderbilt Univ., Nashville, TN (United States)

The use of ion exchange membranes (IEMs) for electrochemical ion-ion separation leverages the selectivity of the IEMs toward like-charged species via valence difference and/or other ion membrane interactions. A mechanistic model that relates selectivity with membrane structural and chemical properties is lacking in the literature. Here, in this study, we extend the Manning’s counter-ion condensation model for describing ion partition and ion mobility inside IEMs to mixed salts scenarios. We evaluate the extended Donnan-Manning model against experimental data from literature and compare the performance the Donnan-Manning model to that of the ideal Donnan model and the Donnan-Affinity model. Our analysis shows that, despite its structural complexity, the Donnan-Manning model has less fitting parameters than the Donnan-Affinity model and generally outperforms the two other models in predicting counter-ion and co-ion partition. With the assumption of a higher mobility of condensed ions than that of uncondensed ions, the generalized Manning’s model can also predict counter-ion mobility selectivity for cation exchange membranes, but its performance for predicting mobility selectivity for anion exchange membranes is still unsatisfactory.

View Accepted Manuscript (DOE)

Research Organization:: National Alliance for Water Innovation (NAWI), Berkeley, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Energy Efficiency and Renewable Energy (EERE), Energy Efficiency Office. Advanced Materials & Manufacturing Technologies Office (AMMTO)

OSTI ID:: 2424741

Journal Information:: Journal of Membrane Science, Journal Name: Journal of Membrane Science Journal Issue: C Vol. 681; ISSN 0376-7388

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (41)

Ion‐“distillation” for isolating lithium from lake brine Jiang, Chenxiao; Chen, Binglun; Xu, Ziang AIChE Journal, Vol. 68, Issue 6 https://doi.org/10.1002/aic.17710	journal	April 2022
Advancing ion-exchange membranes to ion-selective membranes: principles, status, and opportunities Fan, Hanqing; Huang, Yuxuan; Yip, Ngai Yin Frontiers of Environmental Science & Engineering, Vol. 17, Issue 2 https://doi.org/10.1007/s11783-023-1625-0	journal	October 2022
Divalent/monovalent cation uptake selectivity in a Nafion cation-exchange membrane: Experimental and modeling studies Tandon, R.; Pintauro, P. N. Journal of Membrane Science, Vol. 136, Issue 1-2 https://doi.org/10.1016/S0376-7388(97)00167-1	journal	December 1997
Equilibrium ion partitioning between aqueous salt solutions and inhomogeneous ion exchange membranes Kamcev, Jovan; Paul, Donald R.; Freeman, Benny D. Desalination, Vol. 446 https://doi.org/10.1016/j.desal.2018.08.018	journal	November 2018
Selective separation of lithium from high Mg/Li ratio brine using single-stage and multi-stage selective electrodialysis processes Ying, Jiadi; Luo, Mengjie; Jin, Yan Desalination, Vol. 492 https://doi.org/10.1016/j.desal.2020.114621	journal	October 2020
Multicomponent absorption of anions in commercial anion-exchange membranes Malewitz, Tim; Pintauro, Peter N.; Rear, David Journal of Membrane Science, Vol. 301, Issue 1-2 https://doi.org/10.1016/j.memsci.2007.06.014	journal	September 2007
Development of recovering lithium from brines by selective-electrodialysis: Effect of coexisting cations on the migration of lithium Chen, Qing-Bai; Ji, Zhi-Yong; Liu, Jie Journal of Membrane Science, Vol. 548 https://doi.org/10.1016/j.memsci.2017.11.040	journal	February 2018
Selectivity of ion exchange membranes: A review Luo, Tao; Abdu, Said; Wessling, Matthias Journal of Membrane Science, Vol. 555 https://doi.org/10.1016/j.memsci.2018.03.051	journal	June 2018
Specific co-ion sorption and diffusion properties influence membrane permselectivity Ji, Yuanyuan; Luo, Hongxi; Geise, Geoffrey M. Journal of Membrane Science, Vol. 563 https://doi.org/10.1016/j.memsci.2018.06.010	journal	October 2018
Ion mobility and partition determine the counter-ion selectivity of ion exchange membranes Luo, Tao; Roghmans, Florian; Wessling, Matthias Journal of Membrane Science, Vol. 597 https://doi.org/10.1016/j.memsci.2019.117645	journal	March 2020
Modeling and validation of concentration dependence of ion exchange membrane permselectivity: Significance of convection and Manning's counter-ion condensation theory Kingsbury, R. S.; Coronell, O. Journal of Membrane Science, Vol. 620 https://doi.org/10.1016/j.memsci.2020.118411	journal	February 2021
Pore model for nanofiltration: History, theoretical framework, key predictions, limitations, and prospects Wang, Ruoyu; Lin, Shihong Journal of Membrane Science, Vol. 620 https://doi.org/10.1016/j.memsci.2020.118809	journal	February 2021
Combining Manning's theory and the ionic conductivity experimental approach to characterize selectivity of cation exchange membranes Luo, Tao; Zhong, Yanjun; Xu, Dehua Journal of Membrane Science, Vol. 629 https://doi.org/10.1016/j.memsci.2021.119263	journal	July 2021
Extraction of lithium from Chinese salt-lake brines by membranes: Design and practice Xu, Shanshan; Song, Jianfeng; Bi, Qiuyan Journal of Membrane Science, Vol. 635 https://doi.org/10.1016/j.memsci.2021.119441	journal	October 2021
Assessment of anion exchange membrane selectivity with ionic membrane conductivity, revised with Manning's theory or the Kohlrausch's law Zou, Zhongqiang; Wu, Liansheng; Luo, Tao Journal of Membrane Science, Vol. 635 https://doi.org/10.1016/j.memsci.2021.119496	journal	October 2021
Aqueous ion partitioning in Nafion: Applicability of Manning's counter-ion condensation theory Sujanani, Rahul; Katz, Lynn E.; Paul, Donald R. Journal of Membrane Science, Vol. 638 https://doi.org/10.1016/j.memsci.2021.119687	journal	November 2021
Crown ether-based Tröger's base membranes for efficient Li+/Mg2+ separation Dong, Yu; Liu, Yahua; Li, Hui Journal of Membrane Science, Vol. 665 https://doi.org/10.1016/j.memsci.2022.121113	journal	January 2023
Transport mechanisms in electrodialysis: The effect on selective ion transport in multi-ionic solutions Ozkul, Selin; van Daal, Jonathan J.; Kuipers, Norbert J. M. Journal of Membrane Science, Vol. 665 https://doi.org/10.1016/j.memsci.2022.121114	journal	January 2023
Mining resources from water Lin, Shihong; Hatzell, Marta; Liu, Ruiping Resources, Conservation and Recycling, Vol. 175 https://doi.org/10.1016/j.resconrec.2021.105853	journal	December 2021
Effect of coexisting ions on recovering lithium from high Mg2+/Li+ ratio brines by selective-electrodialysis Ji, Peng-Yuan; Ji, Zhi-Yong; Chen, Qing-Bai Separation and Purification Technology, Vol. 207 https://doi.org/10.1016/j.seppur.2018.06.012	journal	December 2018
Strategies to increase ion selectivity in electrodialysis Mubita, T. M.; Porada, S.; Biesheuvel, P. M. Separation and Purification Technology, Vol. 292 https://doi.org/10.1016/j.seppur.2022.120944	journal	July 2022
Single and binary ion sorption equilibria of monovalent and divalent ions in commercial ion exchange membranes Chen, G. Q.; Wei, K.; Hassanvand, A. Water Research, Vol. 175 https://doi.org/10.1016/j.watres.2020.115681	journal	May 2020
Differentiating Solutes with Precise Nanofiltration for Next Generation Environmental Separations: A Review Zhao, Yangying; Tong, Tiezheng; Wang, Xiaomao Environmental Science & Technology, Vol. 55, Issue 3 https://doi.org/10.1021/acs.est.0c04593	journal	January 2021
Understanding Selectivity in Solute–Solute Separation: Definitions, Measurements, and Comparability Wang, Ruoyu; Zhang, Junwei; Tang, Chuyang Y. Environmental Science & Technology, Vol. 56, Issue 4 https://doi.org/10.1021/acs.est.1c06176	journal	January 2022
Energy Efficiency of Electro-Driven Brackish Water Desalination: Electrodialysis Significantly Outperforms Membrane Capacitive Deionization Patel, Sohum K.; Qin, Mohan; Walker, W. Shane Environmental Science & Technology, Vol. 54, Issue 6 https://doi.org/10.1021/acs.est.9b07482	journal	February 2020
Connecting the Ion Separation Factor to the Sorption and Diffusion Selectivity of Ion Exchange Membranes Luo, Hongxi; Agata, Wendy-Angela Saringi; Geise, Geoffrey M. Industrial & Engineering Chemistry Research, Vol. 59, Issue 32 https://doi.org/10.1021/acs.iecr.0c02457	journal	July 2020
Ion Activity Coefficients in Ion Exchange Polymers: Applicability of Manning’s Counterion Condensation Theory Kamcev, Jovan; Paul, Donald R.; Freeman, Benny D. Macromolecules, Vol. 48, Issue 21 https://doi.org/10.1021/acs.macromol.5b01654	journal	October 2015
Ion Diffusion Coefficients in Ion Exchange Membranes: Significance of Counterion Condensation Kamcev, Jovan; Paul, Donald R.; Manning, Gerald S. Macromolecules, Vol. 51, Issue 15 https://doi.org/10.1021/acs.macromol.8b00645	journal	July 2018
Effect of Water Content on Sodium Chloride Sorption in Cross-Linked Cation Exchange Membranes Jang, Eui-Soung; Kamcev, Jovan; Kobayashi, Kentaro Macromolecules, Vol. 52, Issue 6 https://doi.org/10.1021/acs.macromol.8b02550	journal	March 2019
Predicting Salt Permeability Coefficients in Highly Swollen, Highly Charged Ion Exchange Membranes Kamcev, Jovan; Paul, Donald R.; Manning, Gerald S. ACS Applied Materials & Interfaces, Vol. 9, Issue 4 https://doi.org/10.1021/acsami.6b14902	journal	January 2017
Energy Consumption of Brackish Water Desalination: Identifying the Sweet Spots for Electrodialysis and Reverse Osmosis Patel, Sohum K.; Biesheuvel, P. Maarten; Elimelech, Menachem ACS ES&T Engineering, Vol. 1, Issue 5 https://doi.org/10.1021/acsestengg.0c00192	journal	January 2021
Counterion Mobility in Ion-Exchange Membranes: Spatial Effect and Valency-Dependent Electrostatic Interaction Fan, Hanqing; Huang, Yuxuan; Billinge, Ian H. ACS ES&T Engineering, Vol. 2, Issue 7 https://doi.org/10.1021/acsestengg.1c00457	journal	March 2022
Thermodynamics of electrolytes. II. Activity and osmotic coefficients for strong electrolytes with one or both ions univalent Pitzer, Kenneth S.; Mayorga, Guillermo The Journal of Physical Chemistry, Vol. 77, Issue 19 https://doi.org/10.1021/j100638a009	journal	September 1973
Limiting laws and counterion condensation in polyelectrolyte solutions. 8. Mixtures of counterions, species selectivity, and valence selectivity Manning, Gerald S. The Journal of Physical Chemistry, Vol. 88, Issue 26 https://doi.org/10.1021/j150670a030	journal	December 1984
Thermodynamics of electrolytes. IV. Activity and osmotic coefficients for mixed electrolytes Pitzer, Kenneth S.; Kim, Janice J. Journal of the American Chemical Society, Vol. 96, Issue 18 https://doi.org/10.1021/ja00825a004	journal	September 1974
A reverse-selective ion exchange membrane for the selective transport of phosphates via an outer-sphere complexation–diffusion pathway Iddya, Arpita; Zarzycki, Piotr; Kingsbury, Ryan Nature Nanotechnology, Vol. 17, Issue 11 https://doi.org/10.1038/s41565-022-01209-x	journal	September 2022
Prospects of metal recovery from wastewater and brine DuChanois, Ryan M.; Cooper, Nathanial J.; Lee, Boreum Nature Water, Vol. 1, Issue 1 https://doi.org/10.1038/s44221-022-00006-z	journal	January 2023
Partitioning of mobile ions between ion exchange polymers and aqueous salt solutions: importance of counter-ion condensation Kamcev, Jovan; Galizia, Michele; Benedetti, Francesco M. Physical Chemistry Chemical Physics, Vol. 18, Issue 8 https://doi.org/10.1039/C5CP06747B	journal	January 2016
Effect of fixed charge group concentration on equilibrium ion sorption in ion exchange membranes Kamcev, Jovan; Paul, Donald R.; Freeman, Benny D. Journal of Materials Chemistry A, Vol. 5, Issue 9 https://doi.org/10.1039/C6TA07954G	journal	January 2017
Limiting Laws and Counterion Condensation in Polyelectrolyte Solutions I. Colligative Properties Manning, Gerald S. The Journal of Chemical Physics, Vol. 51, Issue 3 https://doi.org/10.1063/1.1672157	journal	August 1969
Limiting Laws and Counterion Condensation in Polyelectrolyte Solutions II. Self‐Diffusion of the Small Ions Manning, Gerald S. The Journal of Chemical Physics, Vol. 51, Issue 3 https://doi.org/10.1063/1.1672158	journal	August 1969

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