QUESTION 2: (32 Marks) Fixed-bed reactor is used for the following gas-phase reaction: - The reaction is endothermic and the inlet pressure is set at 1013.25 kPa. The catalyst sphere is 3.5 mm in radius and the bed diameter is 0.08 m. The rate constant, k of the reaction is 5.5 x 10+ m'/kg.s. and the void fraction is 0.6. The catalyst density is given as pe = 1 g/cm' and Viscosity, u is given as 4 *10Pa.S. The reaction mixture is flowing at a mass flow rate of 8.4 * 10 kgs. The flow is considered as turbulent based on the inlet conditions. The density of the stream in the inlet is given as pe=0.003 g/cm'. (a) Calculate the required amount of catalyst to achieve 83% conversion (22 Marks) (b) Calculate the pressure in the outlet of the reactor. (2 Marks) (c) One engineer suggests packing the catalyst in a reactor with twice the pipe diameter (D), while other engineer suggests doublings the pressure (PJ. Explain how will the pressure drop parameter, a be changed with these two options? By assuming all other conditions remain the same, calculate the new a and provide proper justification about the changes (8 Marks)