TY - JOUR A1 - Solberg, S. B. B. A1 - Zimmermann, P. A1 - Wilhelmsen, Ø. A1 - Bock, Robert A1 - Burheim, O. S. T1 - Analytical treatment of ion-exchange permselectivity and transport number measurements for high accuracy JF - Journal of Membrane Science N2 - We analyse electromotive force measurements of concentration cells using non-equilibrium thermodynamics, and determine the transference coefficients of ion-exchange membranes in aqueous KCl solutions. By taking advantage of the analytical expression for the permselectivity, we extract transport coefficients with high accuracy. The transport number of K+ and the transference coefficient of water in the Selemion CMVN cationexchange membrane are found to be 100𝑡K+ = 99.59 ± 0.56 and 𝑡𝑤 = 3.69 ± 0.40 respectively, while for the Selemion AMVN anion-exchange membrane they are 100𝑡Cl− = 100.21 ± 0.37 and 𝑡𝑤 = −3.75 ± 0.27. These results suggest that the membranes are perfectly selective to the target ion, and that each ion carries 3-4 water molecules through the membrane, which reduces the membrane permselectivity. In these concentration cells, the electrical potential contribution of the membrane alone was more easily isolated with bare Ag/AgCl electrodes without reference solutions and liquid junction plugs. Additionally, we find a large contribution to the measured concentration cell voltage from concentration gradients across the porous plug of the reference electrode, which cannot be explained by Henderson’s equation alone. For most of the concentration range, the transport number of the porous plug is determined to be 100𝑡K+ = 49.43 ± 0.78 with negligible water transport, similar to literature values for bulk electrolyte. In dilute electrolyte solutions with concentrations below 0.1 mol kg−1, the plug shows anomalous behaviour consistent with an increase in K+ selectivity and water co-transport. KW - Ion-exchange membranes KW - Electrodialysis KW - Non-equilibrium thermodynamics KW - Electroosmosis KW - Transport number PY - 2023 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-580654 DO - https://doi.org/10.1016/j.memsci.2023.121904 SN - 1873-3123 VL - 2023 IS - 685 PB - Elsevier CY - New York, NY [u.a.] AN - OPUS4-58065 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Solberg, S. A1 - Zimmermann, P. A1 - Wilhelmsen, Ø. A1 - Lamb, J. A1 - Bock, Robert A1 - Burheim, O. T1 - Heat to Hydrogen by Reverse Electrodialysis—Using a Non-Equilibrium Thermodynamics Model to Evaluate Hydrogen Production Concepts Utilising Waste Heat JF - Energies N2 - The reverse electrodialysis heat engine (REDHE) is a promising salinity gradient energy technology, capable of producing hydrogen with an input of waste heat at temperatures below 100 °C. A salinity gradient drives water electrolysis in the reverse electrodialysis (RED) cell, and spent solutions are regenerated using waste heat in a precipitation or evaporation unit. This work presents a non-equilibrium thermodynamics model for the RED cell, and the hydrogen production is investigated for KCl/water solutions. The results show that the evaporation concept requires 40 times less waste heat and produces three times more hydrogen than the precipitation concept. With commercial evaporation technology, a system efficiency of 2% is obtained, with a hydrogen production rate of 0.38 gH2 m−2h−1 and a waste heat requirement of 1.7 kWh g−1H2. The water transference coefficient and the salt diffusion coefficient are identified as membrane properties with a large negative impact on hydrogen production and system efficiency. Each unit of the water transference coefficient in the range tw=[0–10] causes a −7 mV decrease in unit cell electric potential, and a −0.3% decrease in system efficiency. Increasing the membrane salt diffusion coefficient from 10−12 to 10−11 leads to the system efficiency decreasing from 2% to 0.6% KW - Non-equilibrium thermodynamics KW - Hydrogen KW - Waste heat KW - RED PY - 2022 UR - https://nbn-resolving.org/urn:nbn:de:kobv:b43-556677 DO - https://doi.org/10.3390/en15166011 VL - 15 IS - 16 SP - 6011 PB - MDPI AN - OPUS4-55667 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -