Plz solve in detail and add polymath code as well. Reference Book: Elements of Chemical Reaction Engineering 5th Edition.

2. We have the following elementary gas-phase reaction in the presence of a catalyst: A+BC, with rA=kACACB, where kA=0.005m6/(kgcatmols) This tubular reactor is packed with catalyst particles (diameter is 40m ) and the overall weight of catalysts, W, used is 4106kg. The entering partial pressure of A is 2.5atm and this reaction takes place isothermally at 100K. The entering molar flow rate of A is 105 mol/s (same as for B) and entering volumetric flow rate is 3107m3/s. The molecular weight of C is 100g/mol. The pressure-drop parameter in this reactor is found as 4105 kg1(35 Pts) (a) What is a conversion X at the end of reactor (Hint: you may want to sketch X as a function of W) ? (b) How many identical reactors are needed to be connected in parallel to produce 5000 kg/ year? (c) If the diameter of catalyst becomes half, how X varies as a function of W ? Compare your plot with X from (a)