We want to simulate a gas phase reaction in a packed bed reactor using a silica alumina catalyst. the reaction can be assumed to be like the following- 2a b +c (reversible reaction) reaction rate constant, k, = 4.25x10-6 mol atmgm cats and k = 2.5 the molar flow rate into the packed bed reactor is 23.6 mol/s and the entering pressure is 18 atm. assume there is no pressure drop or temperature change in the reactor. [a] write the mole balance? [b) write the rate law in terms of partial pressure? [c] setup a stoichiometric table for this reaction. [d] write the partial pressure in terms of conversion. [e] write the rate law in terms of conversion only. [f] what is the equilibrium conversion xc? [g] how many kilogram of catalyst you will need to have a conversion 90% of xe in a packed bed reactor? [h) how many kilogram of catalyst you will need to have a conversion 90% of xe in a fluidized bed reactor? what conversion would be achieved if you use a packed bed reactor with 100 kg catalyst with a pressure drop parameter a =0.0098 kg! at what catalyst wt the pressure drop falls below 1 atm? [use polymath]