Please use POLYMATH to answer the conversion questions.

$P$ can be produced from A according to the first order irreversible reaction:

$AP,-r_A=k_A{C}_A[mol{m}^{-3}{s}^{-1}]$

The reaction is carried out in a non$-$ideal reactor, containing two immiscible liquid

phases. The compounds A$,$ P are located $($exclusively$)$ in the dispersed phase. The

continuous phase is ideally mixed. For the dispersed phase, the RTD diagram has

been determined experimentally and is given in Figure P$1.$

Figure $P1$:$E(t)$ curve of the dispersed phase

The average residence time in the reactor equals $100s.$

a$)$ Determine the values of a and $t^{**}$

$a=0\mathrm{.}0088s-1$ and $t^{*}=28\mathrm{.}6s$

$($If you were not able to determine the value of a and $t^{*}$ in question a$)$ then continue

the problem using $a=1\mathrm{.}25*{10}^{-2}[s^{-1}]$ and $t^{*}=20[s]),$ which are not the correct answers

to a$)).$

b$)$ Give a plot $($according to scale$)$ of the $F(t)-$curve.

It is known that ideal micro$-$mixing prevails within the reactor, and an experimental

value of $k_A=0\mathrm{.}0167s^{-1}$ was obtained from laboratory experiments at the same

conditions as the reactor is operated.

c$)$ Determine the conversion in the reactor

$x=0\mathrm{.}80$

d$)$ Determine the variance of the reactor and compare this to an ideal PFR$,$ and

discuss differences $/$ agreement

variance $is478s2(>PFR(=0))$

e$)$ Also, determine the conversion of $A$ if the reactor is modelled as an ideal PFR$,$

and discuss differences $/$ agreement with the answer obtained at c$)$

$x(PFR)=0\mathrm{.}81>$ answer $inc$