Cryoscopic Constant of Water

Kf=1.86 Kkg/molK_{\mathrm{f}} = 1.86\ \text{K}{\cdot}\text{kg/mol}
Value1.86 K·kg/mol
StatusMeasured: ± 0.01 K·kg/mol (0.0054 relative)
SourceCRC Handbook
CategoriesChemistrycolligative
K_f in every molal constant unit
kelvin kilogram per mole1.86 K·kg/mol
Celsius kilogram per mole1.86 °C·kg/mol

Learning zone

Dissolve anything in water and the freezing point drops in proportion to the number of dissolved particles, not their identity: ΔTf = i·Kf·m, with Kf = 1.86 K·kg/mol. Sodium chloride splits into two ions, so its van 't Hoff factor is close to 2 and a 1 molal solution freezes near −3.7 °C, which is exactly why road salt works and why it stops working below about −10 °C, where the practical limit of saturated brine is reached.

François-Marie Raoult established the proportionality in the 1880s, and it became the standard way of measuring molar masses for the next forty years — dissolve a known mass, measure the freezing point drop, and the molar mass falls out. The technique still survives as osmometry in clinical laboratories, where freezing-point depression measures the osmolality of blood and urine to a few milliosmoles. It is a colligative property in the strict sense: 1 mole of sugar and 1 mole of urea depress the freezing point identically.