You would like to undertake the following gas-phase reaction in an isothermal PBR: A + B C Since you are unsure of the reaction rate expression or the rate constant, you study the reaction under very similar physicochemical conditions in a batch reactor of constant volume. Since there are two reactants involved, you perform two experiments in succession. Consider rate reaction -rA=kCA and k =0.14 min-1 You now operate the PBR at 220oC. The pressure and volumetric flowrate of the inlet are 3 atm and 300 L/min. The mole fraction of A at the inlet is 0.75 and the density of the catalyst is 8 kg/L. The Ergun parameter, , is 0.01 kg-1. If the mass of the catalyst bed is 40 kg, what is the conversion of A at the exit?