4. (15 pts) The gas phase, second order reaction 3A + B is performed in a PBR under isothermal conditions. The feed enters the PBR at 12 L/hr and contains 0.5 mol/L of A. The reaction rate constant is k = 2.8 2/(mol kg - catalyst.hr). The initial pressure is 100 atm. The pressure drop constant a = 0.005. a. How much catalyst is required to achieve a conversion of 80%? What is the pressure of the outlet? b. Include a graph of conversion vs. catalyst weight and a separate graph of pressure vs. catalyst weight ranging from 0 to 150 kg of catalyst. c. Include a graph of concentration of A and B vs. catalyst weight and report the final concentration of A and B at 150 kg of catalyst