1. (50 pts) Consider an elementary, irreversible, gas-phase reaction catalyzed by solid catalysts: A+B 2C is carried out isothermally at 25C in a packed-bed reactor (PBR) loaded with 100 kg of catalyst. The feed is equal molar in A and B, with Fao = 10 mol/min and Cao = 0.4 mol/dm'. The gas entering the reactor at 20 atm and exiting the reactor at a lower pressure of 2 atm due to pressure drop. It was found that 80% conversion of A is achieved. (a) Write down the rate law (ra) of the reaction. What are the units for the rate constant, k, in terms of mole, kgcat, min, and dm?? (b) Express concentrations of A and B (i.e., CA and CB) in terms of conversion, X, and the pressure drop (i.e., y = P/Po). (c) Express pressure drop (i.e., y) in terms of the pressure drop parameter (a) and total catalyst mass (W). (d) Use the PBR reactor design equation to solve the relationship between X and W. (e) Calculate the rate constant of the reaction, k