I specifically need help with questions b$,$c$,$ and d$...$ if you could write out the question neatly instead of typing that would be apprciated... Will leave a rating$-$Thank you

QUESTION $2$

To improve octane numbers in gasoline butane can be reacted with butene in a liquid phase reaction.

Under the right conditions the following reaction takes place

$C_4{H}_{10}+C_4{H}_8{C}_8{H}_{18},$ desired

However, butene can also react with itself to form unwanted material in a chain reaction. The first step of

this reaction is shown below;

$C_4{H}_8+C_4{H}_8{C}_8{H}_{16}$

unwanted

These reaction can be represented as

$A+BR,r_R=k_1{C}_A{C}_B$

$B+BS,r_S=k_2{C}_B^2$

a$.$ This reaction is carried out in a liquid phase mixed reactor $($CSTR$)$ which has a residence time of $1\mathrm{.}0$min

using an equimolar feed of A and $B(C_{A0}=C_{B0}=1\frac{\text{m}\text{o}\text{l}}{l}).$ The product stream contained $0\mathrm{.}4mo\frac{l}{l}$ of $A$

and $0\mathrm{.}2mo\frac{l}{l}$ of $B.$ Determine the rate constants for these reactions.

b$.$ Using the rate constants determined in $($a$),$ design a CSTR which must process $1000\frac{\text{I}}{m}in$ of equimolar

feed $(C_{A0}=C_{B0}=10\frac{\text{m}\text{o}\text{l}}{l})$ such that the composition of $B$ in the product stream is $0\mathrm{.}5mo\frac{l}{l}.$ What are

the compositions of all the other components in the product stream.

c$.$ Using the rate constants determined in $($a$)$ determine the maximum conversion of A that can be

achieved in a plug flow reactor $($PFR$)$ with $C_{A0}=C_{B0}=10mo\frac{l}{l}.$ What are the compositions of the other

components under these conditions.

d$.$ Using the rate constants determined in $($a$)$ determine the maximum conversion of A that can be

achieved in a CSTR with $C_{A0}=C_{B0}=10mo\frac{l}{l}.$ What are the composition of the other components under

these conditions. What is the size of the CSTR$.$