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Example 9-4 MCFC Effluent Composition - Ignoring the Water Gas Shift Reaction An MCFC operating on 1,000 lb/hr of fuel gas and a 70 percent air/30 percent CO2 oxidant has a fuel and oxidant utilization of 75 percent and 50 percent respectively. With the fuel and oxidant composition and molecular weights listed below, (a) How much hydrogen will be consumed in lb mol/hr? (b) How much oxygen is consumed in lb mol/hr? (c) What are the required air and oxidant flow rates in lb mol/hr? (d) How much CO2 is transferred from the cathode to the anode? (e) What is the composition of the effluent (spent) fuel and oxidant streams in mol percent (ignoring the water gas shift reaction)? Fuel Data CH4 CO CO2 H2 H2O T otal MW Solution: Mol percent 0.0 0.0 20.0 80.0 0.0 100.0 10.42 Air Oxidant Data mol percent, wet CO2 0.00 H2O 1.00 N2 78.21 O2 20.79 T otal 100.00 MW 28.74 Air + CO2 Mol percent, wet 30.00 0.70 54.75 14.55 100.00 33.32 (a) To determine the lb mol/hr of hydrogen, first determine the molar fuel flow n fuel, supplied Thus, ⎛ lbfuel⎞⎛1lbmolfuel⎞ lbmolfuel = ⎜⎝1000 ⎛ hr ⎟⎠⎜⎝ 10.42 lb fuel ⎟⎠ = 96.02 hr lbmolfuel⎞⎛ 80lbmolH ⎞⎛75lbmolH consumed⎞ lbmolH hr 2 ⎟⎜ 2 ⎜⎟ ⎟=57.61 ⎝ hr ⎠⎝100lbmolfuel⎠⎝100lbmolH2 supplied⎠ =⎜96.02 ⎟⎜ 2 n (b) To determine how much oxygen is consumed, it is useful to note the overall fuel cell reaction H2 consumed H2(g) +1⁄2O2(g) →H2O(g) Therefore, ⎛ =⎜57.61 lbmolH ⎞⎛1⁄2lbmolO ⎞ 2 ⎟⎜ 2 ⎟=28.81 lbmolO hr 2 n (c) The required air flow will be determined on a wet air basis: O2 , consumed ⎝ ⎜⎟ hr ⎠⎝ 1 lb mol H 2 ⎠ 9-6PDF Image | Fuel Cell Handbook (Seventh Edition)
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