Freezing-Point Depression

Also known as antifreeze effect · colligative freezing

ΔTf=Kf b\Delta T_f = K_f \, b
sig figs

Worked example: Kf = 1.86, b = 2 mol/kg → dT = 3.72 K. Press Try an example to run it live, then adjust anything.

Enter your known values, leave one input blank, and solves for the missing one. Tap a variable’s symbol to see what it means, with a typical value. Change any unit and the answer follows.

Where Freezing-Point Depression fits

Missing an input?
Your answer feeds
In this toolkit

See also

Freezing-Point Depression with the van 't Hoff Factor: The version that works for salts: road salt and calcium chloride each release more than one particle per formula unit, and this form under-predicts them badly.Boiling-Point Elevation: Both use molality of solution.Molality (b = n/m): Both use molality of solution.
Here the solver did the work. Could you?

Colligative counting →

Grade 12Grade 12 Chemistry

Test your skills in the Exam Room: new numbers every attempt. Free lessons for students, no sign-up, just pure learning.

See your Report Card
Learning zone

Freezing-Point Depression explained

ΔTfKfb

Dissolved particles get in the way of solvent molecules trying to organize into a crystal, so the solution must be cooled below the pure solvent's freezing point before ice can form. The depression ΔTf is proportional to molality through the cryoscopic constant Kf: for water, 1.86 K·kg/mol, more than three times its boiling-side constant. A 2.0 mol/kg ethylene glycol solution freezes at −3.7 °C, and a fully protected automotive antifreeze mix pushes well below −30 °C by the same mechanism.

The effect is everywhere: road salt melts ice because brine freezes lower than pure water (each mole of CaCl₂ delivers three moles of particles), and hand-cranked ice cream relies on a salt–ice bath dropping below −10 °C. In the lab, camphor's giant Kf of about 40 K·kg/mol made the "Rast method" possible: weighing a solute into molten camphor and reading its molar mass off a melting-point depression measured with an ordinary thermometer.

Freezing-Point Depression formula

ΔTf=Kf b\Delta T_f = K_f \, b
Where
  • ΔTf\Delta T_f= Freezing-point depression (C°)
  • KfK_f= Cryoscopic constant (K·kg/mol)
  • bb= Molality of solution (mol/kg)
Revised 16 October 2026
Cite this page

formula.expert. (2026, October 16). Freezing-Point Depression Formula & Calculator. https://formula.expert/solvers/freezing-point-depression