The second$-$order, elementary liquid$-$phase reaction

$2A{k}_{1A}B,k_{1A}=0\mathrm{.}5\frac{L}{(\text{m}\text{o}\text{l}\text{.}\text{m}\text{i}\text{n})},at300K$

is carried out in a nonideal CSTR$.$ The results from a tracer test on the CSTR are given in the table below.

$\backslash$table$[[$Time $($s$),0,40,47,53,60,64,67,73,80,87,93,100,107,120],[$Ciran $(m\frac{g}{L}),0,0,0\mathrm{.}103,0\mathrm{.}309,0\mathrm{.}763,0\mathrm{.}969,1\mathrm{.}00,0\mathrm{.}845,0,515,0\mathrm{.}258,0\mathrm{.}124,0\mathrm{.}052,0\mathrm{.}021,0]]$

Pure A enters the reactor at a temperature of $300K.$ Calculate the conversion predicted by the segregation model.

It is known that the following elementary reaction also occurs in the reactor:

$A+B{k}_{2c}C,k_{2C}=0\mathrm{.}12\frac{L}{(\text{m}\text{o}\text{l}\text{.}\text{m}\text{i}\text{n})}at300K$

Calculate the selectivity predicted by the segregation model.

$q,$

$($a$)$ How is the segregation model used in chemical reaction engineering?

Mathematical and

Scientific Terms

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$[5]$

$($b$)$ Fully describe and explain the segregation model. In your explanation include the

Theory in theoretical development of this model.

Engineering

Problems

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$[15]$

Mathematical

Methods $q,$

Calculations

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Calculations:

Mathematical

software

Interpretation of

Data

$($c$)$ What is the area under the C curve?

$($d$)$ Calculate the data for the $E(t)$ curve.

$($e$)$ Find a polynomial that best fits the calculated data for the $E(t)$ curve.

$($f$)$ Calculate the mean residence for an ideal CSTR based on the data given above.

$($g$)$ Calculate the conversion of A achieved and the selectivity, $\frac{?}{\text{b}\text{a}\text{r}}(S{)}_{\frac{B}{C}}$ in an ideal CSTR$.$

$15$

$($h$)$ Use polymath or software of your choice to calculate the conversion and selectivity, $\frac{?}{\text{b}\text{a}\text{r}}(S{)}_{\frac{B}{C}},$ predicted by the segregation model.

$15$

$15$

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