P$12-7$B Use the data in Problem P$11-4$A for the following reaction.

Th elementary, irreversible, organic liquid$-$phase reaction

$A+$BlongrightarrowC

is carried out 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$\frac{l}{m^3}.$

Additional information:

$H_A(273K)=-20$kca$\frac{l}{m}ol,H_B(273K)=-15$kca$\frac{l}{m}ol,$

$H_C(273K)=-41$kca$\frac{l}{m}ol$

$C_{P_A}=C_{P_B}=15ca\frac{l}{m}ol*K,C_{P_C}=30ca\frac{l}{m}ol*K$

$k=0\mathrm{.}01\frac{d{m}^3}{(mol)*s}at300K,E=10,000ca\frac{l}{m}ol$

$Ua=20ca\frac{l}{m^3}\frac{?}{?}\frac{s}{K},m_C^{}=50\frac{g}{s}$

$T_{a0}=450K,C_{P_{\text{c}\text{a}\text{t}\text{m}}}=1ca\frac{l}{g}\frac{?}{K}$The reversible reaction $($part $($d$)$ of P$11-4$A$)$ is now carried out in a PFR with a heat exchanger. Plot

and then analyze $x,x_e,T,T_a,Q_r,Q_g,$ and the rate, $-r_A,$ for the following cases:

$($b$)$ Constant heat$-$exchanger temperature $T_a$

$($c$)$ Co$-$current heat exchanger $T_a($Ans$.$: At $V=10m^3$ then $x=0\mathrm{.}36$ and $T=442K)$

$($d$)$ Countercurrent heat exchanger $T_a($Ans$.$: At $V=10m^3$ then $x=0\mathrm{.}364$ and $T=450K)$

$($e$)$ Adiabatic operation

$($f$)$ Make a table comparing all your results $($e$.$g$.,x,x_e,T,T_a).$ Write a paragraph describing what

you find.