The freezing point depression when sugar is dissolved in water to make a 0.50 molal solution is 0.93 °C.
What is the freezing point depression of water when sugar is added?
The freezing point depression of a solvent is calculated using the formula below:
Where:
- i = Van’t Hoff factor
- Kf = Freezing point constant of solvent (1.86°C/m for water)
- m = Molality of Solvent
The Van’t Hoff factor for sugar = 1
m = 0.50
Substituting the values:
ΔTf = −1 ×1.86 × 0.50m = − 0.93°C
In conclusion, the freezing point of water is depressed by 0.93 °C.
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