For a pulse trace experiment, the effluent concentration $C(t)$ & RTD function $E(t)$ are given. The irreversible, liquid$-$phase elementary reaction $A+BC+D$ is carried out at $330K$ in this isothermal reactor. Calculate the conversion for an ideal PFR given $C_{AO}=C_{B0}=0\mathrm{.}04M,$ and $k=86\frac{L}{m}o\frac{l}{m}in.$

$\backslash$table$[[\backslash$table$[[$Time$],[($min$)]],0,1,2,3,4,5,6,7,8,9,10,12,14],[\backslash$table$[[$C$],[$g$/$m$^(3)]],0,1,1\mathrm{.}5,2,6,11,8,5\mathrm{.}5,3,2\mathrm{.}5,1,0\mathrm{.}5,0],[$E$($T$),0,0\mathrm{.}01,0\mathrm{.}015,0\mathrm{.}03,0\mathrm{.}06,0\mathrm{.}04,0\mathrm{.}07,0\mathrm{.}035,0\mathrm{.}02,0\mathrm{.}03,0\mathrm{.}035,0\mathrm{.}01,0]]$