2019
DOI: 10.1016/j.memsci.2018.12.048
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Water content, relative permittivity, and ion sorption properties of polymers for membrane desalination

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Cited by 41 publications
(104 citation statements)
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“…In Equation 14, the permittivity of a hydrated membrane ( ) can either be measured experimentally [48][49][50], or alternatively be approximated by the following additive rule [25]:…”
Section: Calculation Of the Counter-ion Activity Coefficientmentioning
confidence: 99%
See 1 more Smart Citation
“…In Equation 14, the permittivity of a hydrated membrane ( ) can either be measured experimentally [48][49][50], or alternatively be approximated by the following additive rule [25]:…”
Section: Calculation Of the Counter-ion Activity Coefficientmentioning
confidence: 99%
“…According to Equation 14, the Manning parameter (ξ) can be calculated when the b values and the permittivity of hydrated membranes (𝜀) are known. The values of 𝜀 can be measured experimentally [48][49][50] or alternatively can be approximated with the average of the membrane polymer and the water permittivity (Equation 16). Table 5 lists the approximated 𝜀 values, Bjerrum length (𝜆 G ) and ξ values for the three types of CEMs.…”
Section: The Manning Parameter and Cation Activity Coefficientsmentioning
confidence: 99%
“…In addition, the air bubbles had a greater effect on the relative permittivity than the adhesion performances. According to previous studies, it has been reported that the relative permittivity of polymer can vary greatly depending on the air gap [ 38 , 39 , 40 ].…”
Section: Resultsmentioning
confidence: 99%
“…Additionally, we measure carboxylate permeability (in co-diffusion) and solubility (from a mixture) with ethanol (EtOH). We then calculate diffusivities (D i ) to OFm − and OAc − in both K + and Na + forms (KOFm, KOAc, NaOFm and NaOAc) using the solution-diffusion model (Equation ( 1)) [39], which describes the overall solute permeation, which is dependent on solute sorption [22,[40][41][42][43] into the membrane and diffusion [18,42,44,45] through the fractional free volume [46][47][48][49] within the polymer matrix,…”
Section: Introductionmentioning
confidence: 99%
“…Additionally, we measure carboxylate permeability (in co-diffusion) and solubility (from a mixture) with ethanol (EtOH). We then calculate diffusivities ( D i ) to OFm − and OAc − in both K + and Na + forms (KOFm, KOAc, NaOFm and NaOAc) using the solution-diffusion model (Equation (1)) [ 39 ], which describes the overall solute permeation, which is dependent on solute sorption [ 22 , 40 , 41 , 42 , 43 ] into the membrane and diffusion [ 18 , 42 , 44 , 45 ] through the fractional free volume [ 46 , 47 , 48 , 49 ] within the polymer matrix, P i = D i K i , where is the permeability to solute i , is the diffusivity to solute i , and is the solubility to solute i , for EtOH [ 8 , 50 ] or a carboxylate anion (OFm − or OAc − [ 51 , 52 ]) in single and co-transport between EtOH and a carboxylate (EtOH-KOFm, EtOH-KOAc, EtOH-NaOFm and EtOH-NaOAc. The multi-solute permeability measurement was enabled by our in situ ATR–FTIR probe approach, which we recently devised [ 29 ].…”
Section: Introductionmentioning
confidence: 99%