A $200d{m}^3$ constant volume batch reactor is pressurized to $20$atm with a mixture of $75\%$A and $25\%$ inert. The gas$-$phase reaction is carried out isothermally at $227C.$

Fig $1$ Pressurized Batch Reactor

$V=200d{m}^3,P=20$atm,$T=227C$

c$)$ If the reaction is second order with $k=0\mathrm{.}7d\frac{m^3}{m}ol.$min

Determine the time to consume $80\%$ of $A,$ and the pressure in the reactor at this time if the temperature is $227C$

Given: universal gas concentration $R=0\mathrm{.}082d{m}^{3}at\frac{m}{m}$olK

$[9$ marks$]$