QUESTION $1$

Answer ALL parts.

The rate law for the liquid phase reaction of $4A2P($at $70C)$ is found to be:

$-r_1=0\mathrm{.}0021C{A}^2($mol of $\frac{A}{?}$ L$.$ s$)$

It is thought that the activation energy of this reaction is $154\frac{J}{m}ol($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. Write the energy balance for

this reactor.

If the flow rate is such that whatever the temperature of the reactor we ensure

a conversion of $75\%$ of $A,$ what will be the temperature of operation in adiabatic

mode?

$[50$ marks$]$

b$)$ What flow rate gives a conversion of $85\%$ at the adiabatic operation

temperature?

$[50$ marks$]$

Data:

Specific heats:

A: $350\frac{J}{m}ol$

S: $42\frac{J}{m}ol$

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

Heats of formation at $25C$ :

A: $18k\frac{J}{m}ol.$

P: $-21k\frac{J}{m}$olQUESTION $1$

Answer ALL parts.

The rate law for the liquid phase reaction of $4$A $->2$P $($at $70\backslash$deg C$)$ is found to be:

$-$r$1=0\mathrm{.}0021$ CA$2($mol of A$/$L$.$ s$)$

It is thought that the activation energy of this reaction is $154$ J$/$mol $($of A$).$ The feed is $10\%($molar fraction$)$ of A in a solvent S$,$ a solution with total concentration $44\mathrm{.}2$ mol$/$L; the solvent is inert and the feed is at room temperature, $25\backslash$deg C$.$

a$)$ A CSTR of $1,000$ L is available for the reaction. Write the energy balance for this reactor.

If the flow rate is such that whatever the temperature of the reactor we ensure a conversion of $75\%$ of A$,$ what will be the temperature of operation in adiabatic mode?

$[50$ marks$]$

b$)$ What flow rate gives a conversion of $85\%$ at the adiabatic operation temperature?

Data:

Specific heats:

A: $350$ J$/$mol

S: $42$ J$/$mol

P: $215$ J$/$mol

Heats of formation at $25\backslash$deg C:

A: $18$ kJ$/$mol$.$

P: $-21$ kJ$/$mol

$[50$ marks$]$