1967
DOI: 10.1021/j100861a036
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Cation exchange across ion-exchange membranes

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Cited by 16 publications
(7 citation statements)
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“…Counterions of the same valence show nearly the same dependence of the ratio K,llCap W , which represents slopes of linear plots similar to those in Figure 2, on solution concentration. The dependence of the over-all ion-interchange coefficient on solution concentration for the interchange of some univalent and divalent counterions with hydrogen ion have been described previously'E' by a similar empirical relation of the form K, = K,rv Co-" (8) where, for the ion-pair exchange systems considered in this work, the slope a = 0.75 t 0.05 for the interchange between cesium, potassium, sodium, and lithium with hydrogen; a = 0.50 rt 0.05 for the interchange between barium, strontium, calcium and magnesium with hydrogen; and a = 0.25 +-0.05 for the interchange between aluminum and lanthanum with hydrogen. This indicates that counterions of the same valence have nearly the same dependence MEMBRANE WATER CONTENT, gH*0/9 drl WUn on solution concentration and the value of the coefficient (a) decreases as the ion species having a higher valence is used to interchange with hydrogen.…”
Section: Resultsmentioning
confidence: 93%
See 1 more Smart Citation
“…Counterions of the same valence show nearly the same dependence of the ratio K,llCap W , which represents slopes of linear plots similar to those in Figure 2, on solution concentration. The dependence of the over-all ion-interchange coefficient on solution concentration for the interchange of some univalent and divalent counterions with hydrogen ion have been described previously'E' by a similar empirical relation of the form K, = K,rv Co-" (8) where, for the ion-pair exchange systems considered in this work, the slope a = 0.75 t 0.05 for the interchange between cesium, potassium, sodium, and lithium with hydrogen; a = 0.50 rt 0.05 for the interchange between barium, strontium, calcium and magnesium with hydrogen; and a = 0.25 +-0.05 for the interchange between aluminum and lanthanum with hydrogen. This indicates that counterions of the same valence have nearly the same dependence MEMBRANE WATER CONTENT, gH*0/9 drl WUn on solution concentration and the value of the coefficient (a) decreases as the ion species having a higher valence is used to interchange with hydrogen.…”
Section: Resultsmentioning
confidence: 93%
“…It may be informative to relate the coefficient (a) of the empirical Equation ( 8 ) to the valence of the counterion groups used in this study. If the values of (a) are plotted against the valence of the counterions, a linear relationship is obtained as shown in Figure 3.…”
Section: Resultsmentioning
confidence: 99%
“…The mechanisms controlling mass transfer in such systems are not yet fully understood, though ion exchange systems have been the subject of investigation for many years. (Helfferich (1962), Tombalakian et al (1967); Scattergood and Lightfoot (1968); VanBrocklin and David (1972);Dresner (1972)). These studies all incorporate many idealizations, and in general are directed to processes quite different from Donnan dialysis (reverse osmosis, or simple batch selfdiffusion, for example).…”
Section: Preliminary Results Do Indicate That the Model Is Tractiblementioning
confidence: 99%
“…Based on the Teorell-Meyer-Sievers hypothesis (Dranoff & Lapidus, 1957;Tombalakian, et al,1967), a pseudo-equilibrium state between each metal ion and counter ion Na + is assumed to exist at the film-membrane interface, respectively. An apparent selectivity coefficient, i Na K , can be defined as…”
Section: Based On the Boundary Conditionsmentioning
confidence: 99%