CRE question.....pressure drop please do step by step with hand written form...please clear and details with fully working steps

Fixed-bed reactor is used for the following gas-phase reaction: AB The reaction is endothermic, but large amounts of steam are used to minimize the temperature drop. The catalyst sphere is 1.5 mm in radius and the rate constant, k' of the reaction is 2.5 x 10 m/kg.s. at 625 C. The molar ratio of steam to ethylbenzene at the inlet is 9.5/0.5. The bed radius is 2.5 cm and the void fraction is 0.5. The catalyst density is given as pe = 1000 kg/m. The inlet pressure is set at 1013.25 kPa. The reaction mixture is flowing at a mass flow rate of 5.6 x 10-4 kg/s. The flow is considered as turbulent based on the inlet conditions (u = 4x10Pa. S). The density of the stream in the let is given as po = 2.0 kg/m'. (a) Calculate the required amount of catalyst to achieve 99% conversion. (20 Marks) (b) Calculate the pressure in the outlet of the reactor. (2 Marks) (c) One engineer suggests packing the catalyst in a shorter reactor with twice the pipe diameter, while other engineer suggests doublings the pressure. Po. How will the pressure drop parameter, u 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