Problem $1$:

$r_{A0}$

$2$

P$2-4$ The exothermic reaction of stilbene $($A$)$ to form the economically important trospophene $($B$)$ and methane $($C$),$ that is$,$

$AB+C$

was carried out adiabatically and the following data recorded:

$\backslash$table$[[x,0,0\mathrm{.}2,0\mathrm{.}4,0\mathrm{.}45,0\mathrm{.}5,0\mathrm{.}6,0\mathrm{.}8,0\mathrm{.}9],[-r_A(mo\frac{l}{d}{m}^3*min),1\mathrm{.}0,1\mathrm{.}67,5\mathrm{.}0,5\mathrm{.}0,5\mathrm{.}0,5\mathrm{.}0,1\mathrm{.}25,0\mathrm{.}91]]$

The entering molar flow rate of A was $300mo\frac{l}{m}in.$

a$.$ Calculate the batch reactor $($BR$)$ times to achieve $40\%$ and $80\%$ conversion when $400$ moles of A are charged to a $400d{m}^3$ reactor.

b$.$ What are the PFR and CSTR volumes necessary to achieve $40\%$ conversion? $)=72d{m}^3,V_{CSTR}=(24d{m}^3$

c$.$ Over what range of conversions would the CSTR and PFR reactor volumes be identical?

d$.$ What is the maximum conversion that can be achieved in a $105-d{m}^{3}CSTR?$

e$.$ What conversion can be achieved if a $72-d{m}^3$ PFR is followed in series by a $24-d{m}^{3}CSTR?$

f$.$ What conversion can be achieved if a $24-d{m}^{3}CSTR$ is followed in a series by a $72-d{m}^{3}PFR?$

g$.$ Plot the conversion and rate of reaction as a function of PFR reactor volume up to a volume of $100d{m}^3.$