..

please show each step to understand how to solve the problem. thank you

Determine the catalyst weight necessary to achieve 50% conversion when ethylene oxide is to be made by the vapor-phase catalytic oxidation of ethylene with air: C,H, + 0.50, e CH,OCH, A+05BQc Ethylene and oxygen (in air) are fed in stoichiometric proportions to a packed-bed reactor isothermally at 260C. Ethylene is fed at a rate of 0.30 Ibmol/s at a pressure of 10 atm. It is proposed to use 10 banks of 1.5 in-diameter schedule 40 tubes packed with catalyst with 100 tubes per bank. Consequently, the molar flow rate to each tube is to be 310" Ibmol/s. The properties of the reacting fluid are to be considered identical to those of air at this temperature and pressure. The density of the catalyst particles is 120 lb/ft' and the bed void fraction is 0.40. The rate law is -r' =K(P,)' (P,) lbmol/(Ib catXhr), with k = 0.0141 lbmol/(atmXlb catXhr) at 260C. The pressure drop along the reactor can be neglected. Note: Show the differential equation that needs to be solved. If you use MATLAB to solve the differential equation, submit your MATLAB code along with your solution