Investigation into the kinetics of ion-exchange processes accompanied by complex formation

A.I. Kalinichev ∗, T.D. Semenovskaya, E.V. Kolotinskaya, A.Ya. Pronin, K.V. Chmutov
{"title":"Investigation into the kinetics of ion-exchange processes accompanied by complex formation","authors":"A.I. Kalinichev ∗,&nbsp;T.D. Semenovskaya,&nbsp;E.V. Kolotinskaya,&nbsp;A.Ya. Pronin,&nbsp;K.V. Chmutov","doi":"10.1016/0022-1902(81)80222-9","DOIUrl":null,"url":null,"abstract":"<div><p>A theoretical and experimental study of the diffusion processes in complex-formation in ion exchangers has been made. The study is based on diffusion-type equations expressing the laws of material balance for the counterions and a co-ion. These equations are complemented by the conditions of electroneutrality and absence of any electric current. In particular, the approximate solutions of the equations suggest that during the initial stages of particle conversion, the degree of conversion depends on the input concentration and is proportional to √(<em>t</em>), the effective diffusion being controlled by the individual diffusion coefficients for the counterions. The exact solution of the problem, for varying relations between the individual diffusion coefficient has been obtained numerically by using computers. The principles thus found have been verified experimentally for the MeM exchange in a carboxylic cation exchanger and for MeMe exchange in a complex formation vinylpyridine cation exchanger, respectively. The experimental data agree with the theoretical deductions.</p></div>","PeriodicalId":16275,"journal":{"name":"Journal of Inorganic and Nuclear Chemistry","volume":"43 4","pages":"Pages 787-789"},"PeriodicalIF":0.0000,"publicationDate":"1981-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-1902(81)80222-9","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Inorganic and Nuclear Chemistry","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0022190281802229","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9

Abstract

A theoretical and experimental study of the diffusion processes in complex-formation in ion exchangers has been made. The study is based on diffusion-type equations expressing the laws of material balance for the counterions and a co-ion. These equations are complemented by the conditions of electroneutrality and absence of any electric current. In particular, the approximate solutions of the equations suggest that during the initial stages of particle conversion, the degree of conversion depends on the input concentration and is proportional to √(t), the effective diffusion being controlled by the individual diffusion coefficients for the counterions. The exact solution of the problem, for varying relations between the individual diffusion coefficient has been obtained numerically by using computers. The principles thus found have been verified experimentally for the MeM exchange in a carboxylic cation exchanger and for MeMe exchange in a complex formation vinylpyridine cation exchanger, respectively. The experimental data agree with the theoretical deductions.

伴随络合物形成的离子交换过程动力学研究
本文对离子交换剂中络合物形成的扩散过程进行了理论和实验研究。该研究基于表示反离子和共离子物质平衡规律的扩散型方程。这些方程由电中性和无电流条件补充。特别是,方程的近似解表明,在粒子转换的初始阶段,转换程度取决于输入浓度并与√(t)成正比,有效扩散由反离子的单个扩散系数控制。利用计算机计算得到了各扩散系数之间变化关系下问题的精确解。所发现的原理已分别在羧基阳离子交换剂中的MeM交换和在络合形成的乙烯基吡啶阳离子交换剂中的MeMe交换中得到了实验验证。实验数据与理论推导一致。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信