Question $2.$ Complex Reactions

The $1000-$liter isothermal CSTR is used to carry out the following reactions:

$A+BC,r_1=k_1{C}_A{C}_B^{0\mathrm{.}5},k_1=55(\frac{c{m}^3}{m_{ol}}{)}^{\frac{1}{2}}{h}^{-1}$

$B+CD,r_2=k_2{C}_B^{0\mathrm{.}5}{C}_C,k_2=30(\frac{c{m}^3}{(mol)}{)}^{\frac{1}{2}}{h}^{-1}$

The initial concentrations in the reactor are:

$C_{A0}=0\mathrm{.}010\frac{\text{m}\text{o}\text{l}}{c{m}^3},C_{B0}=0\mathrm{.}020\frac{\text{m}\text{o}\text{l}}{c{m}^3},C_{C0}=C_{D0}=0.$

The volumetric feed rate is $z000$ liters $\frac{?}{h}.$

If the corresponding digit in your student number is $0,$ use $10000$ liters $\frac{?}{h}.$

What is the $\frac{c_C}{C_D}$ ratio at the reactor exit?Question $1.$ Series Reactions

Under appropriate conditions reactant A decomposes as follows:

$A{k}_1=0.x\frac{1}{\text{m}\text{i}\text{n}}R{k}_2=0.y\frac{1}{\text{m}\text{i}\text{n}}S,$

If the corresponding digit in your student number is $0,$ use $k=1\mathrm{.}0\frac{1}{\text{m}\text{i}\text{n}}$

$R$ is to be produced from $1000$ liter $\frac{?}{h}$ of feed in which $C_{A0}=0\mathrm{.}5\frac{\text{m}\text{o}\text{l}}{\text{l}\text{i}\text{t}\text{e}\text{r}},C_{R0}=C_{S0}=0.$

$($a$)$ What size PFR will maximize the concentration of $R?$

What is the concentration of $R$ in the effluent stream from this reactor?

$($b$)$ What size CSTR will maximize the concentration of $R?$

What is the concentration of $R$ in the effluent stream from this reactor?

X$=7$

Y$=4$

Z$=6$