Chapter 13, Problem 13.147MP

Many acids are partially dissociated into ions in aqueous solution. Trichloroacetic acid ${\text{(CCl}}_{\text{3}}{\text{CO}}_{\text{2}}\text{H}),$ for instance, is partially dissociated in water according to the equation

   ${\text{CCl}}_{\text{3}}{\text{CO}}_{\text{2}}\text{H}(aq)\rightleftharpoons {\text{H}}^{\text{+}}(aq)+{\text{CCl}}_{\text{3}}{\text{CO}}_{\text{2}}{}^{-}(aq)$

What is the percentage of molecules dissociated if the freezing point of a 1.00 m solution of trichloroacetic acid in water is $-{2.53}^{\text{o}}\text{C}$ ?