Considering the reaction below being carried out in an adiabatic CSTR reactor, calculate the volume and static time necessary to obtain $35\%$ N$2$O$5$ conversion? The reaction rate is first order in relation to A and second order in relation to B$.$

$H_t=-370\mathrm{.}1k\frac{J}{m}ol$

$T^0=303K$

$C_{P_A}=84\mathrm{.}5\frac{J}{\text{m}\text{o}\text{l}-K}$

$F_A^0=10mo\frac{l}{m}in$

$C_{{}_a}=137\frac{J}{\text{m}\text{o}\text{l}-K}$

$F_B^0=30mo\frac{l}{m}in$

$C_{p_c}=170\frac{J}{\text{m}\text{o}\text{l}-K}$

$v=1000\frac{L}{m}in$

$C_{p_0}=75\frac{J}{\text{m}\text{o}\text{l}-K}$

$C_A^0=0\mathrm{.}01mo\frac{l}{L}$

$k=0\mathrm{.}090$exp$[\frac{(40\frac{kJ}{m}ol)}{R_g}(\frac{1}{303}-\frac{1}{T})]$

$(\frac{L}{m}ol{)}^2(min{)}^{-1}$