Q$3(13$ pts$)$

$1+x$

The elementary gas phase reaction

$T=500K$

$P=P_0=16\mathrm{.}4$atm

$2A+BC$

equal moler $=0\mathrm{.}5)$

is carried out isothermally at $500K$ in a flow reactor. The pressure is constant, $($i$.$e$.$ no pressure drop$)$ at $16\mathrm{.}4$atm and the feed is equal molar in A and $B.$ The specific reaction rate is

$A=10d\frac{m^6}{m}o{l}^2*sec.$

$($a$)$ Calculate the PFR and CSTR volumes and space times necessary to achieve $90\%$ conversion for a molar feed rate of $A$ of $5mo\frac{l}{sec}.$

Show your analytical integration steps very clearly. $R=0\mathrm{.}082d{m}^{3}at\frac{m}{m}$olK

$($b$)$ Plot the reaction rate, conversion, and concentrations along the length $($i$.$e$.$ volume$)$ of a PFR$.$

irst order $=\frac{72A}{2}+\frac{B}{2}-7\frac{C}{2}=>A+\frac{1}{2}B-\frac{71}{2}c$

$=1-3=(-2)(0\mathrm{.}5)=-1$