In class we discussed having reactors separated by interstage heat exchangers that will heat$/$cool the stream $($depending on the reaction thermodynamics$).$ Let's say you don't have enough money for this equipment, we subdivide our feed stream into three equal molar portions, and we feed them to three reactors in series. Using the reversible reaction AharrB, consider the figure below.

The first PFR has an $x_{eq}=0\mathrm{.}3,$ and each PFR reaches equilibrium at the outlet. Only $A$ is in the feed stream, and to find inlet temperatures of PFR $2$ and $3$ you can use a weighted average.

Additional Information:

$H_{rxn}=-15$kca$\frac{l}{m}ol$

$K_C(123C)=3000$

a$)$ What is $C_{P,A}($in units of $\{$:$ca\frac{l}{\text{m}\text{o}\text{l}**(K)})?$

b$)$ What is the final conversion and temperature exiting PFR $3?$