The depression in freezing point of solution of molality $0.01 \mathrm{~mol} \mathrm{~kg}^{-1}$ is highest…
The depression in freezing point of solution of molality $0.01 \mathrm{~mol} \mathrm{~kg}^{-1}$ is highest with respect to which of the solvent? (Whose $K_f$ is given in brackets)
Water (1.86)
Benzene (5.12)
Carbon tetrachloride (31.8)
Cyclohexane (20.0)
Solution
Given, molality of solution $=0.01 \mathrm{~mol} \mathrm{~kg}^{-1}$
We know that, $\Delta T_f=i K_f m$...(i)
(where, symbols have their usual meaning)
The van't Hoff factor for all given solvent is 1 as they does not ionise. Therefore,
For, Eq (i) $\Delta T_f \propto K_f$
Therefore, the depression in freezing point of given solution is highest for carbon tetrachloride because its $K_f$ value is highest.