Problem 4 (Bonus and optional). (50 points) Ethylene oxide (C) can be produced by the vapor-phase catalytic oxidation of ethylene (A) with air (B) : C2H4(A)+21O2(B)CH2OCH2(C)rA=kPA31PB32=kPA0(21)32(1+X1x)y=k(1+X1x)y Where y=P0P pressure ratio. The ratio of the volumetric flow rate, f, is given by f=v0v=y1+X Calculate the catalyst weight necessary to achieve 60% conversion and plot X,y,f, and the reaction rate as a function of catalyst weight. Data: k=0.00392mol(atmkgcatsec),FA0=0.1362mol/sec,FB0=0.068mol/sec,P0=10 atm, =0.0367kg1. Hint: Use bisection method and built-in solver ode45 in Matlab