Decomposition of methane to ethylene and acetylene takes place in a plasma jet. The time dependent rate equations for the reactions are: dtd(CH4)=k1CH4 dtd(C2H4)=1/2k1CH4k3C2H4 dtd(C2H2)=k3C2H4k4C2H2 And: k1=4.51013eT45.800sec1,k3=2.57108eT20.000,k4=1.7106eT15.100 If the reaction occurs in a constant volume at 2500C, determine the time to reach a maximum in both products and the fraction of methane converted at the acetylene maximum. Explore a couple of other temperatures to see how the maxima may change. PROBLEM GROUP 2 Switch grass is fed to a 1200C solar-thermal reactor. At these temperatures, biomass can be converted to CO and H2 (i.e., syn gas) which then can be used for liquid fuels. Switch grass, which is approximately 2/3 cellulose (C6H10O5) and 1/3 lignin (C10H12O3) will be fed with steam to produce CO,H2 and a small amount of ash, which we will neglect. Assume the switch grass is volatilized immediately upon entering the plug-flow reactor and that the reactions and postulated rate laws are: 1. Cellulose: C8H10O5(C)k1C6H2+6CO where: r1C=k1CCCCW 2. Lignin: C10H12O3(L)+7H2O(W)k2L13H2+10CO where r2L=k2LCLCW2 k1C=3104(L/mols);k2L=1.4107(L/mols);CTo=RToPo=0.00828mole/L Where FC0=0.00411mole/s,FLO0=0.00185mole/s, and FW0=0.02mole/s. Analyze and plot the molar flowrates of all species in a PFR up to 0.5L, as well as the yields and selectivity for CO/H2 over the same range