Q $3$:

Consider the following reaction

$AD$;$k1=1\mathrm{.}1$

$DU$;$k2=1\mathrm{.}2$

Pure A is fed to a $1\mathrm{.}0L$ CSTR where it reacts to form a desired product $($D$),$ which can then react further

to produce an undesired product $(U)$; both reactions are elementary and irreversible, and everything is in

the liquid phase. The entering concentration of $A$ is $1$mol$\frac{e}{L}$ at a molar flow rate of $1mo\frac{l}{m}in.$

a$)$ Sketch the conversion of $A,x,$ the instantaneous selectivity of $D$ to $U,S\frac{D}{U},$ and the instantaneous

yield of $D,YD,$ as a function of space$-$time $($make sure to label them on the plot$).$

b$)($b$)$ If at $=1\mathrm{.}0$ minutes the instantaneous selectivity, $S\frac{D}{U},$ is $(\frac{1}{2})$ and the conversion of $A$ is

$(0\mathrm{.}5),$ what are the specific reactions rates $k1$ and $k2?$