QUESTION $3$

Answer ALL parts.

The liquid phase reaction

$2AP$

was found to follow the rate law $($at $70C)$:

$-r_1=0\mathrm{.}002C{A}_A^2(molof\frac{A}{L}.s)$

It is thought that the activation energy of this reaction is $176\frac{J}{m}ol($of A$).$ The feed is $10\%($molar fraction$)$ of $A$ in a solvent $S,$ a solution with total concentration $44\mathrm{.}2mo\frac{l}{L}$; the solvent is inert and the feed is at room temperature, $25C.$

a$.$ A CSTR of $1,000L$ is available for the reaction. If the flow rate is such that whatever the temperature of the reactor we ensure a conversion of $85\%$ of $A,$ what will be the temperature of operation in adiabatic mode?

$[60$ Marks$]$

b$.$ And what flow rate gives us the conversion of $85\%$ at that temperature?

$[40$ Marks$]$

Data:

Specific heats:

A: $377\frac{J}{m}ol$

S: $47\frac{J}{m}ol$

P: $215\frac{J}{m}ol$

Heats of formation at $25C$ :

A: $17k\frac{J}{m}ol$

P: $-20k\frac{J}{m}ol$