Calculation $1$: Below is a saponification to form soap from aqueous caustic soda $NaO{H}_{(aq)}$ and

glyceryl stearate and this reaction takes place in a constant volume batch reactor.

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

Write a stoichiometric table expressing the concentration of each species in terms of the

initial concentration $($of NaOH $)$ and the conversion, $x($of NaOH $).$ This $x$ is the conversion

of NaOH. In this calculation, we take NaOH as the limiting species. ${}_j$ is also needed to

construct this table.

If the initial mixture consists of sodium hydroxide at a concentration of $10mo\frac{l}{d}{m}^3($i$.$e$.,$

$10mo\frac{l}{L})$ and glyceryl stearate at a concentration of $2mo\frac{l}{d}{m}^3,$ what are the

concentrations of glyceryl stearate and of glycerine, when X is $20\%?$