A saponification reaction between ethyl acetate $($A saponification reaction between ethyl acetate $($A$)$ and sodium hydroxide $($B$)$ is carried out in

a $1\mathrm{.}503-$L steady state CSTR reactor. Reaction is elementary liquid phase reaction with respect to

each reactant. The products are sodium acetate $(P)$ and ethanol $(R).$

$A+BP+R$

The reactor is isothermally operated at $30C.$ A and $B$ are separately introduced at equal volumetric

flow rates into the reactor $(q_A=q_B=q).$ The concentrations of A and $B$ are $0\mathrm{.}2mo\frac{l}{L}$ in the feed

tanks, respectively. The reaction rate constant is experimentally determined as a function of

temperature:

$k=1\mathrm{.}05{10}^7(Lmo{l}^{-1}{s}^{-1})**exp(\frac{-Ea}{RT})$; where $TisinK.$A$)$ and sodium hydroxide $($B$)$ is carried out in a $1\mathrm{.}503-$L steady state CSTR reactor. Reaction is elementary liquid phase reaction with respect to each reactant. The products are sodium acetate $($P$)$ and ethanol $($R$).$

$"$A$+$B$->$P$+$R$"$

The reactor is isothermally operated at $30\backslash$deg C$.$ A and B are separately introduced at equal volumetric flow rates into the reactor $($q$\_$A$=$q$\_$B$=$q$).$ The concentrations of A and B are $0\mathrm{.}2$ mol$/$L in the feed tanks, respectively. The reaction rate constant is experimentally determined as a function of temperature:

$"$k$=1\mathrm{.}05\backslash$times $""10"^"7"("$L$""$mol$"^"-1""$s$"^"-1")"*"$ "exp" $("-$Ea$"/"$RT$")$; where T is in K$.$

Calculate the reaction rate constant for the reaction temperature indicated, given that" Ea$=42$ kJ$""$mol$"^"-1"",$R$=8\mathrm{.}314$ J$""$mol$"^"-1""$K$"^"-1".$

What should be the volumetric flow rates of each stream for a $85\%$ conversion of A$.$ State your assumptions.