What is the new freezing point of a 0.50 m solution of a nonelectrolyte dissolved in water?
Solution:
The freezing point depression (ΔTf) is related to the molality (m) and the freezing point depression constant (Kf) by ΔTf = Kf × m (for nonelectrolyte).
Kf(water)=1.86˚C/m
m = 0.50 m
Hence,
ΔTf = (1.86˚C/m) × (0.50 m) = 0.93˚C
Water normally freezes at 0˚C.
Hence,
Freezing point = 0˚C - 0.93˚C = -0.93˚C
Freezing point = -0.93˚C
Answer: The new freezing point of a solution is -0.93˚C.
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