Develop equations to determine plug flow reactor size for 50% conversion of reactant A. The reaction is gas-phase, in an isothermal PFR, and is at 5.0 atm pressure and 55°C. The volumetric flow rate of the feed is 50 L/min.
A + 2B → 2D rA = -2.5CA0.5CB mol L-1 min-1
Feed mole fractions: yA = 0.2, yB = 0.5, yC = 0.3 (C is an inert.)