(Solved): Lactic acid (molecular weight =90.08 grams) is added to pure water and the following reaction occur ...

Lactic acid (molecular weight $=90.08$ grams) is added to pure water and the following reaction occurs: ${\mathrm{HCH}}_3{\mathrm{H}}_5{\mathrm{O}}_3?{\mathrm{H}}^{+}+{\mathrm{CH}}_3{\mathrm{H}}_5{\mathrm{O}}_3^{?}$ If the initial lactic acid concentration is $100\mathrm{mg}/\mathrm{L}$ and the equilibrium constant ${\mathrm{K}}_{\mathrm{a}}=1.38\times 10^{?4}$, what are the equilibrium concentrations of the three equilibrium species in $\mathrm{mol}/\mathrm{L}$ ? Be sure to check that your assumptions for developing an ICE table are valid.