SOLVE THIS USING PYTHON: CSTR with multiple steady states

The elementary liquid phase reaction:

A $->$ B

occurs in a jacketed CSTR$.$ Species A and inert I are fed to the reactor in equimolar

amounts. The molar feed rate of A is $80$ mol$/$min$.$

Information:

cP$,$I $=30$ cal$/($mol $\backslash$deg C$)$ cP$,$A $=$ cP$,$B $=20$ cal$/($mol $\backslash$deg C$)$

UA $=8000$ cal$/($min $\backslash$deg C$)$H R $=-7500$ cal$/$mol

k $=6\mathrm{.}6$ x $10-3$ min $-1$ at $350$ K Ta $=300$K

Ea $=40,000$ cal$/($mol K$)\backslash$tau $=100$ min

a$.)$ What is the reactor temperature at a feed temperature of $450$K$?$

b$.)$ Plot the reactor temperature as a function of the feed temperature.

c$.)$ Suppose that you begin with a feed temperature of $250$K$,$ which you slowly

increase. What inlet temperature must the reactor be heated before the reactor

operates at a high conversion? What are the corresponding temperature and

conversion of the fluid in the CSTR just above this inlet temperature?

d$.)$ Suppose that the inlet fluid is now heated $5\backslash$deg C above the temperature in part c

and is cooled by $20\backslash$deg C where it remains. What will be the conversion?

e$.)$ What is the feed temperature which will cause extinction for this reaction

system?