Answer :
Yes, to determine the molar mass of an unknown solute from the freezing point depression the freezing points of both the pure solvent and the solution need to be measured.
The depression of the freezing point is a and it is given by the following formula,
ΔT f = T°f - T f
Here T°f is the freezing point of pure solvent
T f is the freezing point of the solution made by adding non-volatile solute to solvent
The freezing point depression is directly proportional to the molality of the solution
T(f) ∝ m
T(f)= K f x m
Here K f is the proportionality constant.
Hence, to determine the molar mass of an unknown solute from the freezing point depression the freezing points of both the pure solvent and the solution need to be measured.
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