The elementary gas phase reaction

A $->$ B

takes place isothermally in a fluidized catalytic CSTR that contain $80$ kg of catalyst. $50\%$ conversion is

realized for pure A entering at a pressure of $20$ atm. There is no pressure drop in the CSTR$.$

It is proposed to replace the fluidized catalytic CSTR with an isothermal PBR containing the same catalyst

weight.

a$)$ First, calculate the conversion in the PBR in the absence of pressure drop.

b$)$ Second, calculate the conversion in the PBR when the exit pressure is $10$ atm. CALCULATIONS ARE NEEDED FOR PART A AND B$.$