A new company is evaluating different fuel cell materials for use in a 200kW energy power generator. One fuel cell under consideration is solid oxide fuel cell (SOFC). SOFC operates at 1000C with 70% efficiency. Assume that the exhaust stream is at the operating temperature of the fuel cell. Theoretical heat losses are a function of the operating temperature of the fuel, and can be estimated as 0.0405TkJ per gmol H2 reacted, where T is the operating temperature in K. The main reaction is H2(g)+1/2O2(g)H2O(v). Air is the source of oxygen which is fed at its stoichiometric ratio. The air and hydrogen are fed to the fuel cell at 25C. Typically 90% of the hydrogen fed to the fuel cell reacts to form water and the reminder leaves the fuel cell unconverted. Useful data: H^fO(kJ/mol) for water vapor is 241.8kJ/mol. Specific heats of H2O vapor, H2 gas, O2 gas and N2 gas are 33.6,29.1,29.3 and 29.1J/molC. Then the heat lost by the fuel cell at the operating condition is kJ/molH2. Hint: Multiply the given heat loss equation with the operating temperature in K. 42.5 40.5 55.6 51.6