EP:12 A fuel cell system aims to produce 6.5107kWh/month. It is fed with hydrogen at a rate of 1.5103kg/h. This hydrogen is generated by steam reforming with the 15% of alumina-supported nickel catalyst ( MggAl2O4). The main reactions are described below: 1 Steam-reforming: CH4+H2OCO+3H2 2 Shift reaction: CO+H2OCO2+H2 3 Reverse reaction: CO2+3H2CH4+H2O The rate expressions are known: r1=pH252k11(pCH4pH2OK1pH23pCO)/(DEN)2r2=pH2k2(pCOpH2OK2pH2pCO)/(DEN)2r3=pH23k3(pCH4pH2O2K3pH24pCO2)/(DEN)2 writh The rate and equilibrium constant can be obtained as a function of the reference temperature (Tr)= ki=ki,Trexp[REi(T1Tr1)]s1Kj=Kj,Trexp[RHj(T1Tr1)] where: i=reactions1,2,3i=CO,H2,CH4,H2O The data in the table below were obtained by Xu and Froment. 8 (FONTE) [k1]=[k3]=kmolbar1/2/(kgh) and [k2]=kmol/(kgh bar ) [KCH4]=[kCO]=[kH2]=bar1and[KH2O]=dimensionless Calculate the mass of catalyst required to obtain H2 at 900C. This reactor is fed with natural gas (98%CH4) at a feed flow rate of 9.0103kg/h and excess steams, where H2O/CH4 is 3:1 at a total pressure of 10 bar. Plot the composition along the reactor (based on the mass of the catalyst). Do the same calculation for the temperatures of 600C,700C,800C, and 1000C