$*****$ USE AND EQUATION SOLVER LIKE POLYMATH TO PLOT$*****$

~~~~~~~~~~ DO NOT COMPLETE NUMBER $2,$ ONLY PARTS A AND B BELOW~~~~~~~~~~~~~~~~~~

Use the data in question $2($attached as picture$)$ for the case when heat is removed by a heat exchanger jacketing the reactor. The flow rate of coolant through the jacket is sufficiently high that the ambient exchanger temperature is contant at T$\_$a$=50$degC.

a$)$ Plot the temperature and conversion profiles for a PBR with Ua$/$pb$=0\mathrm{.}08$ J$/$s$-$kg cat$-$K$.$ How would the profiles change if Ua$/$pb were increased?

b$)$ Repeat part $($a$)$ assuming a reversible reaction with a reverse rate constant of:

k$=0\mathrm{.}2$exp$[$Er$/$R$(1/450-1/$T$)]\{$L$^2/$kgcat$-$mol$-$s$\}$ Er$=51\mathrm{.}4$ kJ$/$mol

Vary the entering temperature, T$0,$ and describe what you find.