Given that, $Δ T_{f}$ is the depression in freezing point of the solvent in a solution of a non-volatile non-electrolytic solute of molality m, then quantity - $lim m \to 0 (Δ T_{f} / m)$ is ___ (equal\different) to molal depression constant.

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Solution

The molal freezing point depression constant is the depression in freezing point for 1 molal solution.
$Δ T_{f} = K_{f} \times m$
When,
$m = 1$ , $Δ T_{f} = K_{f}$

Thus, when $Δ T_{f}$ is the depression in freezing point of the solvent in a solution of a non-volatile solute of molality m, then quantity.
$lim m \to 0 (Δ T_{f} / m)$ is equal to molal depression constant.

So, the correct answer is equal.

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