Shock Electrodialysis for Water Purification and Electrostatic Correlations

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Shock Electrodialysis for Water Purification and Electrostatic Correlations ( shock-electrodialysis-water-purification-and-electrostatic-c )

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Figure 5-7: Difference in potential between surfaces with and without PLL as a function of KCl concentration with PLL of varying molecular weights using the Pincus relation for layer thickness. Heavy refers to a molecular weight of 150000-300000 g/mol, medium refers to a molecular weight of 30000-70000 g/mol, and light refers to a molecular weight of 4000-15000 g/mol. the relation for the polymer layer thickness, we also modified the relationship for the polymer background charge density, since we assumed that the amount of polymer adsorbed does not change as a function of concentration. Hence the background charge density varies with concentration as ρ ∼ c1/3. Figures 5-7 - 5-9 show the b0 results for the various electrolytes and table 5.3 shows the corresponding parameters used. Comparison between the results for constant thickness and background charge and those for varying thickness and background charge shows that the quality of our Electrolyte/MW ρ c−1/3 (C/m3) l /l l (Å) Lc1/3 (nm) ε /ε b0cBc0p0 KCl/heavy KCl/medium KCl/light KNO3 /heavy MgCl2 /heavy 4743.1 1.6712 11.395 4834.8 1.6250 11.181 6378.6 1.2353 8.9109 7424.3 1.3088 5.1487 5787.7 1.9299 9.3095 172.80 82.203 169.52 81.457 128.49 77.699 110.40 142.43 141.61 116.19 Table 5.3: Parameters for various electrolytes and molecular weights of PLL using the Pincus relation. 131

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