2020
DOI: 10.1016/j.memsci.2020.118152
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Permselectivity of bilayered ion-exchange membranes in ternary electrolyte

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Cited by 32 publications
(18 citation statements)
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“…The main purpose of the work was to evaluate the possibility of the application of the PANI-modified CEMs for the separation of cations in the electrodialysis. The theoretical ratio of fluxes of doubly and singly charged cations in limiting conditions for ideally selective membrane (limiting permeability coefficient ) could be estimated on the basis of diffusion coefficients of the cations in the solution according to the formula [ 46 ]: where J 1 and J 2 are fluxes of 1 and 2 counter-ions, correspondingly; z 1 and z 2 are charges of 1 and 2 counter-ions, correspondingly; z A is a charge of co-ion; D 1 and D 2 are diffusion coefficients of 1 and 2 counter-ion in the solution, correspondingly. The diffusion coefficients for H + , Na + and Ca 2+ ions in the solution are 9.34 × 10 −9 , 1.34 × 10 −9 and 0.79 × 10 −9 m 2 /s [ 47 ].…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The main purpose of the work was to evaluate the possibility of the application of the PANI-modified CEMs for the separation of cations in the electrodialysis. The theoretical ratio of fluxes of doubly and singly charged cations in limiting conditions for ideally selective membrane (limiting permeability coefficient ) could be estimated on the basis of diffusion coefficients of the cations in the solution according to the formula [ 46 ]: where J 1 and J 2 are fluxes of 1 and 2 counter-ions, correspondingly; z 1 and z 2 are charges of 1 and 2 counter-ions, correspondingly; z A is a charge of co-ion; D 1 and D 2 are diffusion coefficients of 1 and 2 counter-ion in the solution, correspondingly. The diffusion coefficients for H + , Na + and Ca 2+ ions in the solution are 9.34 × 10 −9 , 1.34 × 10 −9 and 0.79 × 10 −9 m 2 /s [ 47 ].…”
Section: Resultsmentioning
confidence: 99%
“…The main purpose of the work was to evaluate the possibility of the application of the PANI-modified CEMs for the separation of cations in the electrodialysis. The theoretical ratio of fluxes of doubly and singly charged cations in limiting conditions for ideally selective membrane (limiting permeability coefficient P lim 1/2 ) could be estimated on the basis of diffusion coefficients of the cations in the solution according to the formula [46]:…”
Section: Heterogeneous Membranesmentioning
confidence: 99%
“…The effect of diffusion boundary layer thickness on ions transport across bilayer membranes were studied using a rotating membrane disk. The rotating membrane disk setup and methodology are explained in detail in a number of publications [ 77 , 78 ].…”
Section: Methodsmentioning
confidence: 99%
“…When the current density increased, the driving force became stronger and this led to a suppression of the electrostatic interaction and steric hindrance effects. Moreover, according to the mathematical models developed by Zabolotsky et al [41,42], the perm-selectivity of monovalent ions against divalent ions would approach to a stable value that was independent of the membrane properties and the space charge region when the current density applied was close to or higher than the limiting current density. This means that the perm-selectivity of the membrane at a high current density was controlled solely by the diffusivity of the ions in the solution.…”
Section: Effect Of Current Densitymentioning
confidence: 99%