Question
What is a relationship between freezing point depression and concentration of solute (or solution)?

Answer

It is observed experimentally that as the concentration of a solution increases, the freezing point of the solution decreases and hence the depression in the freezing point $\left(\Delta T_f\right)$ increases.

The depression in the freezing point of a solution is directly proportional to the molal concentration (expressed in $mol _{ kg ^{-1}}$ ) of the solution.
Thus,
$\Delta T _f \propto m$
where $m$ is the molality of the solution.
$\therefore \Delta T _{ f }= Kfm$, where $Kf$ is a constant of proportionality. If $m =1 molal$,
$\Delta T_f=K_f$. Hence $K_f$ is called the cryoscopic constant or molal depression constant. $K _{ f }$ is characteristic of the solvent.

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