Soap consists of sodium and potassium salts of various fatty acids such as oleic, stearic,

palmitic, lauric, and myristic acid. An equal molar of sodium and potassium was mixed and

carried adiabatically at temperature of $300K$ with a volumetric flowrate, $v_0=5d\frac{m^3}{s}.$ The

saponification equation for the formation of soap from aqueous caustic soda and glyceryl

stearate is

$3$NaOH$+(C_{17}{H}_{35}{)}_3{C}_3{H}_5,3C_{17}{H}_{35}\frac{C}{O}ONa+C_3{H}_5(OH{)}_3$

a$)$ Let NaOH$=A,(C_{17}{H}_{35}{)}_3{C}_3{H}_5=B,C_{17}{H}_{35}\frac{C}{O}ONa=C$ and $C_3{H}_5(OH{)}_3=D,$ construct a

stoichiometric table for the following reaction. Takind ${?}_3{?}_3{}_3{C}_3{H}_5$ as the limiting reactant.

$[5$ marks$]$

b$)$ Given the following information, calculate the CSTR volumes necessary to process B at

$80\%$ conversion?

$[20$ marks$]$

Additional information:

Activation energy, $E=65\mathrm{.}7k\frac{J}{m}ol$

$k=0\mathrm{.}02d\frac{m^3}{m}o{l}^3.$s at $298K$

$C_{A0}=9\mathrm{.}3mo\frac{l}{d}{m}^3$

$C_{PA}=C_{PB}=141\frac{J}{m}ol.K=$

$C_{PC}=C_{PD}=282k\frac{J}{k}$mol.$K$