一、理论部分 假定在进行交换的反应离子浓度为C_0,体积为V的溶液中,加入n颗粒度均一的半径为r_0的球形离子交换剂,发生化学计量系数为α的离子交换反应,反应按层进机理进行,整个交换反应的速度由动边界上化学反应的速度、反应离子在液膜中和在已反应区中的扩散所共同控制。采用文献[1,2]中完全相同的符号,基于反应离子扩散穿过液膜和已反应区的过程服从Fick定律,在动边界上的边界条件为 First, the theoretical part of the assumption that the exchange reaction ion concentration of C_0, the volume of V solution, adding n uniform particle size of a radius of r_0 spherical ion exchange agent, a stoichiometric coefficient α ion exchange reaction, the reaction press The velocity of the whole exchange reaction is controlled by the speed of the chemical reaction on the moving boundary and the diffusion of the reaction ions in the liquid film and in the reaction zone. Using exactly the same notation in [1,2], Fick’s law is obeyed on the basis of the diffusion of reactive ions through the liquid film and the reaction zone. The boundary conditions on the moving boundary are