$***$Only need an answer to part h $($i$)$ and part j $($Please include the ODE solver used$)$

The following liquid$-$phase reactions were carried out in a CSTR at $325K$ :

$3AB+C,-r_{1A}=k_{1A}{C}_A,k_{1A}=7\mathrm{.}0mi{n}^{-1}$

$2C+$Alongrightarrow$3D,r_{2D}=k_{2D}{C}_C^2{C}_A,k_{2D}=3\mathrm{.}0\frac{d{m}^6}{mo{l}^2*min}$

$4D+3$Clongrightarrow$3E,r_{3E}=k_{3E}{C}_D{C}_C,k_{3E}=2\mathrm{.}0\frac{d{m}^3}{(mol)*min}$

Sketch the trends or

results you expect

before working out

the details of the

problem.

The concentrations measured inside the reactor were $C_A=0\mathrm{.}10,C_B=0\mathrm{.}93,C_C=0\mathrm{.}51,$ and $C_D=$

$0\mathrm{.}049$ all in $mo\frac{l}{d}{m}^3.$

$($a$)$ What are $r_{1A},r_{2A},$ and $r_{3A}?(r_{1A}=-0\mathrm{.}7\frac{\text{m}\text{o}\text{l}}{d}{m}^3*min)$

$($b$)$ What are $r_{1B},r_{2B},$ and $r_{3B}?$

$($c$)$ What are $r_{1C},r_{2C},$ and $r_{3C}?(r_{1C}=0\mathrm{.}23\frac{\text{m}\text{o}\text{l}}{d}{m}^3*min)$

$($d$)$ What are $r_{1D},r_{2D},$ and $r_{3D}?$

$($e$)$ What are $r_{1E},r_{2E},$ and $r_{3E}?$

$($f$)$ What are the net rates of formation of A$,$ B$,$ C$,$ D$,$ and E$?$

$($g$)$ The entering volumetric flow rate is $100d\frac{m^3}{m}in$ and the entering concentration of A is $3M.$ What is

the CSTR reactor volume? $($Ans$.$: $400d{m}^3.)$

$($h$)$ What are the exit molar flow rates from the $400d{m}^3$ CSTR$?$

Note: The following parts require an ODE solver and are of $"$B level" difficulty.

$($i$)$ PFR$.$ Now assume the reactions take place in the gas phase. Use the preceding data to plot the

molar flow rate's selectivity and $p$ as a function of PFR volume up to $400d{m}^3.$ The pressure$-$drop

parameter is $0\mathrm{.}001d{m}^{-3},$ the total concentration entering the reactor is $0\mathrm{.}2mo\frac{l}{d}{m}^3,$ and $v_0=100$

$d\frac{m^3}{m}in.$ What are tilde$(S{)}_{\frac{D}{E}}$ and tilde$(S{)}_{\frac{C}{D}}?$

$($j$)$ Membrane Reactor. Repeat $($i$)$ when species $C$ diffuses out of a membrane reactor and the trans$-$

port coefficient, $k_C,$ is $10mi{n}^{-1}.$ Compare your results with part $($i$).$