When 19.5 g of F - CH_2- COOH (. Molar mass.=78 g mol^-1), is dissolved in 500 g of water, the depression in freezing point is observed to be 1°C.…

When $\displaystyle 19.5$ g of $\displaystyle \mathrm{F}-\mathrm{CH}_{2}-\mathrm{COOH}\left(\right.$ Molar mass $\displaystyle \left.=78 \mathrm{~g} \mathrm{~mol}^{-1}\right)$, is dissolved in $\displaystyle 500$ g of water, the depression in freezing point is observed to be $\displaystyle 1$°C. Calculate the degree of dissociation of $\displaystyle \mathrm{F}-\mathrm{CH}_{2}-\mathrm{COOH}$. [Given : $\displaystyle \mathrm{K}_{\mathrm{f}}$ for water $\displaystyle =1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$ ]