The elementary irreversible organic liquid$-$phase reaction. $A+$BlongrightarrowC is carried out adiabatically in a flow reactor. An equal molar feed in A and $B$ enters at $27C,$ and the volumetric flow rate is $2d\frac{m^3}{s}$ and $C_{AO}=0\mathrm{.}1$kmo$\frac{l}{m^3}.$

$($a$)$ Calculate the PER and CSTR volumes necessary to achieve $80\%$ conversion. What are the reasons for the differences?

$($b$)$ Two schemes $($ shown in figure$)$ are suggested, which one are you going to use $($why$)?$ what are the value of intermediate conversion $x_1?$

$HA(273)=-17$kca$\frac{l}{m}ol,H_B(273)=-18$Kca$\frac{l}{m}ol,HC(273)=-41$kca$\frac{l}{m}ol$

$C_{PA}=13ca\frac{l}{m}ol.K,C_{PB}=17ca\frac{l}{m}ol.K,CPC=30ca\frac{l}{m}ol.K$

$18$ ung$-$

$k=0\mathrm{.}01d\frac{m^3}{m}ol.s$ at $300K,E=10,000ca\frac{l}{m}ol$

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