Decomposition of methane to ethylene and acetylene takes place in a plasma jet. The time dependent rate equations for the reactions are: dtd(CH4)=k1CH4dtd(C2H4)=1/2k1CH4k3C2H4dtd(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