Chemical Engineering Reversible liquid phase reaction in CSTRThe elementary reversible liquid$-$phase reaction, AharrB, takes place in a CSTR with a heat

exchanger. Pure A enters the reactor. Additional information shown below.

$($a$)$ Derive an expression $($or set of expressions$)$ to calculate $G(T)$ as a function of

heat of reaction, equilibrium constant, temperature, and so on$.$

$($b$)$ What are the steady state temperatures?

$($c$)$ Which steady states are locally stable?

$($d$)$ What is the conversion corresponding to the upper steady state?

$($e$)$ Vary the ambient temperature $T_a$ and make a plot of the reactor temperature as

a function of $T_a,$ identifying the ignition and extinction temperatures.

$($f$)$ If the heat exchanger in the reactor suddenly fails $($i$.$e$.UA=0),$ what would be

the conversion and the reactor temperature when the new uper steady state is

reached?

$C_{pA}=C_{pB}=40ca\frac{l}{m}$olK

$UA=3600ca\frac{l}{m}$inK

$H_{Rx}=-80,000ca\frac{l}{m}$olA

$K_{eq}=100at400K$

$k=1mi{n}^{-1}at400K$

$T_a=37C$

$V=10d{m}^3$

$\frac{E}{R}=20,000K$

$v_0=1d\frac{m^3}{m}in$

$F_{A0}=10mo\frac{l}{m}in$

$T_0=37C$