P$12-9$ Algorithm for reaction in a PBR with heat effects

and pressure drop

The elementary gas$-$phase reaction

A $+$ B $2$C

in Problem P$11-8$ is now continued and carried out in

packed$-$bed reactor. The entering molar flow rates are F $=$

$5$ mol$/$s$,$ F $=2$F $,$ and F $=2$F with C $=0\mathrm{.}2$

mol$/$dm $.$ The entering temperature is $325$ K and a coolant

fluid is available at $300$ K$.$

Additional information:

CPA $=$ CPB $=$ CPC $=20$ cal$/$mol$/$K k $=0\mathrm{.}0002$ @$300$K

CPA $=18$ cal$/$mol$/$K $\backslash$alpha $=0\mathrm{.}00015$ kg$1$ Ua $=320$

E $=25$ m $$ C $=18$ mol$/$s $\backslash$rho b $=1400$

$\backslash$Delta HRx $=20$ @$298$ K CPCool $=18$ cal$/$mol$($coolant$)$

KC $=1000$@$305$K

Plot X$,$ X $,$ T$,$ T $,$ and $$r down the length of the PFR

for the following cases:

$($a$)$ Co$-$current heat exchange

$($b$)$ Countercurrent heat exchange

$($c$)$ Constant heat$-$exchanger temperature T

$($d$)$ Compare and contrast your results for $($a$),($b$),$ and

$($c$)$ along with those for adiabatic operation and write a

paragraph describing what you find.