PRF$(3)$ Problems $5-7$

A gas decompose at $900C$ according to

$2A(g)2B+C$

with a specific rate constant of $1\mathrm{.}0d\frac{m^3}{m}$ole.$sec$ using pure A with inlet concentration $0\mathrm{.}01$ mole$/d{m}^3.$ What plug flow reactor volume will be required to react $80\%$ of A with a feed rate of $1\mathrm{.}4$ mole$/$sec$?$ the PFR reactor is operating isothermally at $900C$