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

$2$

$!!"$

$$\%"$# $=0\mathrm{.}5$

$$

$(.)300$

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

the table below.

Time $($s$)040475360646773808793100107120$

CTracer$($mg$/$L$)000\mathrm{.}1030\mathrm{.}3090\mathrm{.}7630\mathrm{.}9691\mathrm{.}000\mathrm{.}8450,5150\mathrm{.}2580\mathrm{.}1240\mathrm{.}0520\mathrm{.}0210$

Pure A enters the reactor at a temperature of $300$ K$.$ Calculate the conversion

predicted by the segregation model.

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

$+$

$!$#$

$$\%$$$\%=0\mathrm{.}12$

$$

$(.)300$

Calculate the selectivity predicted by the segregation model.

Mathematical and

Scientific Terms

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

$[5]$

Theory in

Engineering

Problems

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

theoretical development of this model.

$[15]$

Mathematical

Methods

$($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.

$[15]$

Calculations $($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, $$

&$/\%$ in an ideal CSTR$.[15]$

Calculations:

Mathematical

software

$($h$)$ Use polymath or software of your choice to calculate the conversion and selectivity,

$$

&$/\%,$ predicted by the segregation model.

$[20]$

Interpretation of

Data

$($i$)$ Compare and discuss your responses to questions $($g$)$ and $($h$).$ Step by step c alculations for all calculations related problems