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mol percent FC outlet Gas w/o shift. CO 0.00 CO2 50.00 H2 12.50 H2O 37.50 Total 100.0 Spent Fuel Effluent Calculation Lb mol/hr, assuming 100 lb mol/hr basis Mol percent FC outlet in shift equil. 4.45 45.55 8.05 41.95 100.00 FC outlet w/o shift 0.00 50.00 12.50 37.50 100.00 effect of shift rxn 4.45 -4.45 -4.45 4.45 0.00 FC outlet in shift equil. 4.45 45.55 8.05 41.95 100.00 Example 9-6 SOFC Effluent Composition - Accounting for Shift and Reforming Reactions An SOFC operates at 1800 °F on 100 percent methane (CH4) and a fuel utilization of 85 percent. What is the composition of the effluent (spent) fuel in mol percent? Assume that the methane is completely reformed within the fuel cell, and the moisture required for reforming is supplied by internal recirculation. Solution: There are many different ways to approach this problem, some of which may seem rather complex because of the simultaneous reactions (fuel cell, reforming, and water gas shift reactions) and the recycle stream supplying moisture required for the reforming reaction. The solution to this problem can be simplified by focusing on the fuel cell exit condition. First, write the relevant reactions: Recycle Fuel Feed CH4 + 2H2O → 4H2 + CO2 H2, anode + 1⁄2O2, cathode → H2O, anode CO + H2O ⇔ CO2 + H2 Point of Interest (Steam Reforming Reaction) (Fuel Cell Reaction) (Water Gas Shift Reaction) SOFC Next combine the reforming reaction and the fuel cell reaction into an overall reaction for that portion of the fuel that is consumed (i.e., 85 percent). The combined reaction is developed by adding the steam reforming reaction to 4 times the fuel cell reaction. The factor of four allows the hydrogen molecules to drop out of the resulting equation because it is fully utilized. 9-10PDF Image | Fuel Cell Handbook (Seventh Edition)
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