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Appendix C IDEALIZED CELL PERFORMANCE In the development of any device, it is useful to compare experimental results to those of an idealized scenario. This reveals by how much the system could theoretically be improved. If all mass transport, internal current, and reaction kinetics losses are ignored then power density would be limited purely by cell resistance. By knowledge of cell dimensions (given in Appendix A) and material resistivity, the cell’s ideal resistance can be estimated. Contact resistances are ignored. The resulting resistance of 8.4 mOhms (Table C.1), when paired with an open circuit voltage of 1.4 V, yields a peak power density of 3.2 W/cm2. The experimentally optimal power density was 16% of this theoretical value. This suggests that surface resistance is significant and that not all of the electrode area is being utilized. The estimate also indicates that the graphite blocks and carbon electrodes are the two largest contributors to resistance. Material Copper Graphite Electrode Membrane Resistivity (Ω-m) 2E-8 1E-4 4E-4 2E-7 Length (m) (3E-2)*2 (1E-2)*2 (3E-3)*2 5E-5 CS-Area (m2) 1E-4 5E-3 3E-3 3E-3 Resistance (Ω) 1.2E-5 4.0E-4 8.0E-3 3.3E-9 ΣR = 8.4E-3 Table C.1: Idealized Resistance. 33PDF Image | PERFORMANCE EVALUATION OF A REDOX FLOW BATTERY
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