Please solve part c ( the answer is X=0.681 )

AB is carried out isothermally in a "fluidized" catalytic CSTR containing 45kg of catalyst. Currently, 55% conversion is realized for pure A entering at a pressure of 20atm. There is virtually no pressure drop in the CSTR. It is proposed to put a PBR containing the same catalyst weight in series with the CSTR. The pressure drop parameter for the PBR, , given by Equation (5-29) is =0.018kg1. The particle size is 0.2mm, the bed porosity is 40%, and the viscosity is the same as that of air at 200C. (a) Should the PBR be placed upstream or down stream of the CSTR in order to achieve the highest conversion? Explain qualitatively using concepts you learned in Chapter 2. (b) What is the conversion coming out of the first reactor? (c) What is the conversion exiting the last reactor? (Ans: X=0.681 ) (d) What is the pressure at the exit of the packed bed? (Ans: P=8.717 atm) (e) How would your answers change if the catalyst diameter were decreased by a factor of 2 and the PBR diameter were increased by 50%, assuming turbulent flow