(Solved): Ethyl ethanoate (commonly called ethyl acetate), CH3CO2C2H5, is an important solvent us ...

Ethyl ethanoate (commonly called ethyl acetate), ${\mathrm{CH}}_3{\mathrm{CO}}_2{\mathrm{C}}_2{\mathrm{H}}_5$, is an important solvent used in nail polish remover, lacquers. adhesives, the manufacture of plastics, and even as a food favoring. It is produced from acetic acid and ethanol by the reaction ${\mathrm{CH}}_3{\mathrm{CO}}_2\mathrm{H}+{\mathrm{C}}_2{\mathrm{H}}_5\mathrm{OH}?{\mathrm{CH}}_3{\mathrm{CO}}_2{\mathrm{C}}_2{\mathrm{H}}_5+{\mathrm{H}}_2\mathrm{O}$ ethanoic acid ethanol ethyl ethanoate (acetic acid) ethanol (ethyl acetate) At $25^{?}\mathrm{C},K_c=4.10$ for this reaction. In a reaction mixture, the following equilibrium concentrations were observed: $\begin{array}{l}\left[{\mathrm{CH}}_3{\mathrm{CO}}_2\mathrm{H}\right]=0.316\mathrm{M},\\ \left[{\mathrm{H}}_2\mathrm{O}\right]=0.00657\mathrm{M}\text{, and }\\ \left[{\mathrm{CH}}_3{\mathrm{CO}}_2{\mathrm{C}}_2{\mathrm{H}}_5\right]=0.673\mathrm{M}.\end{array}$ What was the concentration of ${\mathrm{C}}_2{\mathrm{H}}_5\mathrm{OH}$ in the mixture? $\left[{\mathrm{C}}_2{\mathrm{H}}_5\mathrm{OH}\right]=$ M