# Cryoscopic constant

In thermodynamics, the cryoscopic constant, Kf, relates molality to freezing point depression. It is the ratio of the latter to the former:

$\triangle T_f = K_f \cdot m \cdot i$

i is the van 't Hoff factor, the number of particles the solute splits into or forms when dissolved.

Through cryoscopy, a known constant can be used to calculate an unknown molar mass. The term "cryoscopy" comes from Greek and means "freezing measurement." Freezing point depression is a colligative property, so $\Delta T$ depends only on the number of solute particles dissolved, not the nature of those particles. Cryoscopy is related to ebullioscopy, which determines the same value from the ebullioscopic constant (of boiling point elevation).

The Kf for water is 1.853 K·kg/mol.[1]