$2A+BC+D$ is gas phase elementary reaction run in a PBR packed with $90$ kg of catalyst. The initial concentration of $A=0\mathrm{.}2mo\frac{l}{L}.$ A & B both enter at $3mo\frac{l}{sec}.$ The pressure at the inlet is $20$atm. $,=0\mathrm{.}01k{g}^{-1},k=15(\frac{L^3}{mo{l}^2*kg*sec})$

i$)$ What is the conversion at the exit of the reactor?

ii$)$ What is the conversion half way down the reactor?

iii$)$ What is the pressure at the exit of the reactor?