ION-EXCHANGE MEMBRANE SEPARATION PROCESSES Membrane Science and Technology Series Volume 1: Pervaporation Membrane Separation Processes Edited by R.Y.M. Huang (1991) Volume 2: Membrane Separations Technology, Principles and Applications Edited by R.D. Noble and S.A. Stern (1995) Volume 3: Inorganic Membranes for Separation and Reaction By H.R Hsieh (1996) Volume 4: Fundamentals of Inorganic Membrane Science and Technology Edited by A.J. Burggraaf and L. Cot (1996) Volume 5: Membrane Biophysics Edited by H. Ti Tien and A. Ottova-Leitmannova (2000) Volume 6: Recent Advances in Gas Separation by Microporous Ceramic Membranes Edited by N.K. Kanellopoulos (2000) Volume 7: Planar Lipid Bilayers (BLMs) and their Applications Edited by H.T. Tien and A. Ottova-Leitmannova (2003) Volume 8: New Insights into Membrane Science and Technology: Polymeric and Biofunctional Membranes Edited by D. Bhattacharyya and D.A. Butterfield (2003) Volume 9: Ion-Exchange Membrane Separation Processes By H. Strathmann (2004) Membrane Science and Technology Series, 9 ION-EXCHANGE MEMBRANE SEPARATION PROCESSES Heiner Strathmann Institut fElr Chemische Verfahrenstechnik Universit~t Stuttgart, Stuttgart, Germany 2004 ELSEVIER Amsterdam - Boston - Heidelberg - London - New York- Oxford Paris - San Diego - San Francisco- Singapore- Sydney - Tokyo ELSEVIER B.V. ELSEVIER Inc. ELSEVIER Ltd ELSEVIER Ltd Sara Burgerhartstraat 25 525 B Street, Suite 1900 The Boulevard, Langford Lane 84 Theobalds Road P.O.Box 211, 1000 AE San Diego, CA 92101-4495 Kidlington, Oxford OX5 1GB London WC1X 8RR Amsterdam, The Netherlands USA UK UK (cid:14)9 2004 Elsevier B.V. All rights reserved. This work is protected under copyright by Elsevier B.V., and the following terms and conditions apply to its use: Photocopying Single photocopies of single chapters may be made for personal use as allowed by national copyright laws. 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Except as outlined above, no part of this work may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without prior written permission of the Publisher. Address permissions requests to: Elsevier's Rights Department, at the fax and e-mail addresses noted above. Notice No responsibility is assumed by the Publisher for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions or ideas contained in the material herein. Because of rapid advances in the medical sciences, in particular, independent verification of diagnoses and drug dosages should be made. First edition 2004 Library of Congress Cataloging in Publication Data A catalog record is available from the Library of Congress. British Library Cataloguing in Publication Data A catalogue record is available from the British Library. ISBN: 0-444-50236-X ISSN: 0927-5193 O The paper used in this publication meets the requirements of ANSIfNISO Z39.48-1992 (Permanence of Paper). Printed in Hungary. Preface Ion-exchange membranes and their application are not a recent development. Processes such as electrodialysis have been used on a large industrial scale for more than half a century. The literature covering various processes involving ion-exchange membranes and their applications is very broad, extremely fragmented, and contained in a number of different scientific journals and in various patents. This makes it difficult to gain a reasonably accurate overview of ion-exchange membranes and their applications. While other membrane processes such as reverse osmosis or micro- and ultrafiltration are described in great detail in a number of excellent text and reference books there is hardly any comprehensive treatment of ion-exchange membrane separation processes. Therefore, the time seems to be appropriate for a book that emphasizes the most relevant aspects of this today already widely used technology. The main difficulty confronted in such an endeavor is to find a balanced selection between the fundamental theoretical background and practical applications necessary to provide the reader with a sound understanding of the function of ion-exchange membranes and their importance for solving difficult separation problems without getting lost in too many details. Therefore, the objectives of this book are to give a comprehensive overview of ion-exchange membrane separation processes covering the fundamentals as well as recent developments of the different products and processes and their applications for a quite heterogeneous interest group including plant managers and process engineers as well as research scientists and graduate students. Reading this book the plant engineer might complain that too much emphasis is put on the discussion of the theoretical background information, while on the other hand those in superior command of thermodynamics and electrochemistry might express their concern about the simplified approach of treating very complex phenomena. To facilitate the reading of the book I have tried to separate the different topics. In the first chapter a very general overview of the relevant electromembrane processes is given. In the second chapter some thermodynamic and physicochemical fundamentals are described. This chapter can cheerfully be skipped by those interested only in the various applications of the ion-exchange membrane separation processes and their technical and commercial relevance compared to competing technologies. This is discussed in the last chapter, which certainly can be missed by all those interested in the more scientific aspects. The third chapter gives some information about ion-exchange membrane preparation techniques, while in the fourth and fifth chapter the processes are discussed as unit operations giving examples for the design of specific plants. These two chapters are probably of interest mainly to the plant engineer and plant manager. In a book of this kind it is impossible to mention all those who have contributed to the development and understanding of ion-exchange membrane separation processes. Quotations and literature references are restricted to publications, which are apt to illustrate the discussions in the text. The choice of the literature references is arbitrary and a matter of personal preference, and I apologize to all scientists and engineers whom I have not given due credit for their contribution to the field. My sincere thanks are due to many of my students and colleagues who have contributed to this book with their work and many helpful suggestions. However, I am particularly indebted to Harm Schmoldt for his valuable and constructive suggestions concerning the content of the book, my vi wife Monika who struggled valiantly with my English spelling and style while proofreading the manuscript, and Andrej Grabowsky who spent many hours checking all the equations and drawings very thoroughly and pointing out mistakes. His sound scientific background and complete command of the computer was extremely helpful in writing this book. I thank both of them for the many hours they have spent to improve the manuscript in the technical content and in style. Heiner Strathmann vii Contents Chapter 1 Overview of Ion-Exchange Membrane Processes 1 Introduction .............................................................................................................. 1 2 Historical Development ........................................................................................... 1 3 The Structure of Ion-Exchange Membranes ............................................................ 4 4 Ion-Exchange Membrane Processes ........................................................................ 5 4.1 Ion-Exchange Membranes in Separation Processes ................................................. 6 4.1.1 Electrodialysis ..........................................................................................................6 4.1.2 Electrodialysis with Bipolar Membranes ................................................................. 7 4.1.3 Continuous Electrodeionization ............................................................................... 9 4.1.4 Diffusion Dialysis ....................................................................................................9 4.1.5 Donnan Dialysis ....................................................................................................... 11 4.1.6 Electrolytic Processes Using Ion-Exchange Membranes ......................................... 12 4.1.7 The Solid Polymer Electrolyte Fuel Cell ................................................................. 13 4.2 Technical Relevance of Ion-Exchange Membrane Processes .................................. 14 4.2.1 Desalination by Electrodialysis ................................................................................ 15 4.2.2 Concentration of Mineral Salts and Other Applications of Electrodialysis ............. 16 4.2.3 The Continuous Electrodeionization and the Use of Bipolar Membranes ............... 16 4.2.4 Diffusion Dialysis and Donnan Dialysis .................................................................. 17 4.3 Relevance of Electrolytic Production Processes and Fuel Cells .............................. 17 5 Recommended Further Reading: ............................................................................. 18 5.1 Ion-Exchange Membrane Preparation ...................................................................... 18 5.2 Electrodialysis .......................................................................................................... 18 5.3 Bipolar Membrane Electrodialysis ........................................................................... 18 5.4 Continuous Electrodeionization ............................................................................... 19 5.5 Electrolytic Chlorine and Alkaline Production ........................................................ 19 5.6 Fuel Cells and Electrochemical Synthesis ............................................................... 19 Literature: ............................................................................................................................2 0 Chapter 2 Electrochemical and Thermodynamic Fundamentals 1 Introduction ..............................................................................................................2 3 2 Basic Electrochemical Relations ............................................................................. 23 2.1 Electron and Ion Conductivity and Ohm's Law ...................................................... 24 2.2 The Electric Field and the Permittivity .................................................................... 26 2.2.1 The Electric Field .....................................................................................................2 7 2.2.2 The Debye-HiJckel Theory of Ionic Solutions ......................................................... 29 2.2.3 Electrical Dipoles and Intermolecular Forces .......................................................... 31 2.3 The Double Layer at the Surface of Ion-Exchange Membranes .............................. 33 2.3.1 The Principle of a Capacitor .................................................................................... 33 2.3.2 The Electrical Double Layer .................................................................................... 34 3 Basic Thermodynamic Relations ............................................................................. 37 3.1 Chemical and Electrochemical Equilibrium ............................................................ 43 viii 3.1.1 The Water Dissociation and the pH- and pK-Values of Acids and Bases ............... 43 3.1.2 The Ion-Exchange Equilibrium and the Donnan Potential ...................................... 47 3.1.3 The Electrochemical Equilibrium ............................................................................ 48 3.1.4 The Osmotic Equilibrium and the Osmotic Pressure ............................................... 53 3.1.5 Electroosmosis and Streaming Potential .................................................................. 57 3.2 The Electrochemical Cell and the Electromotive Force .......................................... 60 3.2.1 The Electrochemical Cell Reaction and the Gibbs Free Energy .............................. 63 3.2.2 The Standard Cell Potential and the Nernst Equation ............................................. 65 4 Transport of Ions in Solutions and Membranes ....................................................... 65 4.1 Mathematical Description of Transport Phenomena in Solutions ........................... 66 4.1.1 Phenomenological Description of Mass Transport .................................................. 67 4.1.2 Description of Mass Transport by the Stefan- Maxwell Approach ......................... 68 4.1.3 Description of Mass Transport by the Nernst-Planck Equation ............................... 69 4.1.4 Electrical Current and Ion Fluxes ............................................................................ 71 4.1.5 The Transport and Transference Numbers ............................................................... 72 4.1.6 Transport of Ions in an Aqueous Solution ............................................................... 73 4.1.7 Mass Transport in Ion-Exchange Membranes ......................................................... 75 4.1.8 Membrane Counterion Permselectivity ................................................................... 76 4.1.9 The Flux of Solvent Through an Ion-Exchange Membrane ..................................... 79 4.2 Membrane Permselectivity and the Donnan Exclusion ........................................... 80 4.3 The Membrane Potential .......................................................................................... 81 5 List of Symbols: ....................................................................................................... 84 Literature: 87 Chapter 3 Preparation and Characterization of Ion-Exchange Membranes 1 Introduction .............................................................................................................. 89 2 Preparation of Ion-Exchange Membranes ................................................................ 92 2.1 Preparation of Homogeneous and Microheterogeneous Membranes ....................... 93 2.1.1 Polymerization and Polycondensation of Monomers ............................................... 94 2.1.2 Introduction of Ionic Groups into a Preformed Solid Polymer Film ....................... 101 2.1.3 Introduction of Ionic Groups into a Dissolved Polymer .......................................... 102 2.2 Preparation Procedure of Heterogeneous Ion-Exchange Membranes ...................... 104 2.3 Special Property Ion-Exchange Membranes ............................................................ 105 2.3.1 Monovalent Ion Permselective Membranes ............................................................. 105 2.3.2 Proton Permselective Cation-Exchange Membranes ............................................... 106 2.3.3 Anion-Exchange Membranes of High Proton Retention ......................................... 106 2.3.4 Anti-Fouling Anion-Exchange Membranes ............................................................. 107 2.3.5 Alkaline Stable Anion-Exchange Membranes ......................................................... 108 2.3.6 Bipolar Membranes .................................................................................................. 109 2.3.7 Ion-Exchange Membranes for Diffusion Dialysis ................................................... 114 2.3.8 Other Special Property Ion-Exchange Membranes .................................................. 114 3 Characterization of Ion-Exchange Membranes ........................................................ 115 3.1 The Structure of Ion-Exchange Membranes and its Characterization ..................... 116 3.2 Mechanical Stability, Swelling, and Permeability of Membranes ........................... 117 3.2.1 The Membrane Water Content ................................................................................. 118 3.2.2 Hydraulic Permeability of Ion-Exchange Membranes ............................................. 119 3.2.3 Long-Term Chemical Stability of Membranes ........................................................ 120 3.3 Determination of Electrochemical Properties of Membranes .................................. 120 3.3.1 The Ion-Exchange Capacity of a Membrane ............................................................ 121 3.3.2 Electrical Resistance of Ion-Exchange Membranes ................................................. 121 3.3.3 Permselectivity of Ion-Exchange Membranes ......................................................... 131 3.3.4 Membrane Permeation Selectivity for Different Counterions ................................. 134 3.3.5 Diffusion Coefficients of Electrolytes in Ion-Exchange Membranes ...................... 134 3.3.6 Water Transport in Ion-Exchange Membranes ........................................................ 136 3.3.7 Characterization of Special Property Membranes .................................................... 138 4 List of Symbols ....................................................................................................... .140 Literature ............................................................................................................................. .141 Chapter 4 Operating Principle of Eiectrodialysis and Related Processes 1 Introduction .............................................................................................................. 147 2 The Principle of Conventional Electrodialysis ........................................................ 147 2.1 Mass Transport in an Electrodialysis Stack ............................................................. 149 2.1.1 Material Balance Between the Diluate and Concentrate Flow Streams .................. 152 2.2 Membrane Counterion Selectivity ........................................................................... 158 2.3 Concentration Polarization and Limiting Current Density ...................................... 159 2.4 The Limiting Current Density, Causes and Consequences ...................................... 163 2.4.1 Experimental Determination of the Limiting Current Density ................................ 164 2.4.2 The Overlimiting Current Density ........................................................................... 166 2.5 Membrane Fouling and Poisoning ........................................................................... 168 2.6 Energy Requirements in Electrodialysis .................................................................. 169 2.6.1 Minimum Energy Required for the Separation of a Molecular Mixture .................. 169 2.6.2 Practical Energy Requirements in Electrodialysis ................................................... 173 2.7 Processes Effecting the Efficiency of Electrodialysis .............................................. 181 2.7.1 Current Utilization ................................................................................................... 181 3 Electrodialysis with Bipolar Membranes ................................................................. 184 3.1 The Principle of Water Dissociation in Bipolar Membranes ................................... 185 3.1.1 Models for the Accelerated Water Dissociation in Bipolar Membranes ................. 187 3.1.2 Mass Transport in Electrodialysis with Bipolar Membranes ................................... 199 3.1.3 Energy Consumption in Electrodialysis with Bipolar Membranes .......................... 200 4 The Principle of Diffusion Dialysis ......................................................................... 205 4.1 The Mass Transport in Diffusion Dialysis ............................................................... 206 4.2 Complicating Factors in Dialysis Mass Transport Modeling ................................... 211 5 The Principle of Continuous Electrodeionization .................................................... 212 5.1 Mass Transfer in Continuous Electrodeionization ................................................... 213 5.2 Energy Requirements in Continuous Electrodeionization ....................................... 214 5.3 Complicating Factors in Continuous Electrodeionization Modeling ....................... 214 6 The Principle of Donnan Dialysis ............................................................................ 215 6.1 Mass Transport in Donnan Dialysis ......................................................................... 216 7 Other Ion-Exchange Separation Processes ............................................................... 218 8 List of Symbols ........................................................................................................ 218 Literature .............................................................................................................................. 222