Permeability of Cu(II) Ions Across Cation-Exchange Membrane of Ion-Exchange Electrodialyzer

Abstract

The permeability of Cu²⁺ and CuCl⁺ across the cation exchange membrane of Ion-Exchange Electrodialyzer in aqueous solution of NaCl was examined using a mathematical model of the permeation rate. The mathematical model of the permeation rate of Cu(II) was developed based on the mathematical model of the permeation rate of model cations and the ratio of the copper species (Cu²⁺, CuCl⁺) estimated from stability constants. The permeation rates of Cu²⁺ and CuCl⁺ ions were calculated using this model and the experimental results. It was found that the permeation rate of Cu²⁺ has a significant effect on that of Cu(II) when the concentration of chloride ions is low, whereas the permeation rate of CuCl⁺ has a significant effect on that of Cu(II) when the concentration of chloride ions is high. Therefore, the characteristic behavior of the permeation rate of Cu(II) was verified quantitatively. Moreover, it was found that the behavior of the permeation rates of CuCl⁺ and Cu²⁺ are similar to those of monovalent cations such as K⁺ and divalent cations such as Ca²⁺, respectively.