Chemistry - Liquid Solution Question with Solution | TestHub

Considering acetic acid dissociates in water, its dissociation constant is $6.25\times 10^{-5}$. If $5\mathrm{mL}$ of acetic acid is dissolved in 1 litre water, the solution will freeze at $-x\times 10^{-2}{}^{\circ }\mathrm{C}$, provided pure water freezes at $0^{\circ }\mathrm{C}$. $x=$ ______ . (Nearest integer) Given : $\begin{array}{rl}& {\left({\mathrm{K}}_f\right)}_{\text{water }}=1.86\mathrm{K}\mathrm{kg}{\mathrm{mol}}^{-1}\text{. }\\ & \text{ density of acetic acid is }1.2\mathrm{g}{\mathrm{mol}}^{-1}\text{. }\\ & \text{ molar mass of water }=18\mathrm{g}{\mathrm{mol}}^{-1}\text{. }\\ & \text{ molar mass of acetic acid=60 }\mathrm{g}{\mathrm{mol}}^{-1}\text{. }\\ & \text{ density of water }=1\mathrm{g}{\mathrm{cm}}^{-3}\end{array}$ Acetic acid dissociates as ${\mathrm{CH}}_3\mathrm{COOH}\rightleftharpoons {\mathrm{CH}}_3{\mathrm{COO}}^{\ominus }+{\mathrm{H}}^{\oplus }$