Chemistry

Freezing Point Depression Calculator

Enter molality, the van ‘t Hoff factor and the solvent to get the freezing point depression.

Your numbers

1 for sugar, about 2 for NaCl, about 3 for CaCl2

Your results

ΔTf (°C)
ΔTf (°C)
—
New freezing point (°C)
—

Freezing Point Depression Calculator by TheCalcTools

How the Freezing Point Depression Calculator works

Dissolved particles change a solvent’s freezing point in proportion to their molality. The van ‘t Hoff factor i counts particles per formula unit: ionic salts split into ions.

Real solutions of salts often have a slightly smaller effective i than the ideal number of ions because ions pair up.

The formula

ΔTf = i × Kf × b

Worked example

Using the default values shown in the calculator:

SolventWater (K = 1.86 °C·kg/mol)
Your K value (°C·kg/mol)1.86
Molality (mol/kg)1
Van 't Hoff factor i2
Pure solvent freezing point (°C)0
  1. 1 mol/kg NaCl (i = 2) in water: ΔTf = 2 × 1.86 × 1 = 3.720 °C.
  2. New freezing point: -3.720 °C.

Result:

ΔTf (°C)3.720
New freezing point (°C)-3.720

Frequently asked questions

Why do we salt roads and pasta water?

Salt lowers the freezing point of water, so ice melts at colder temperatures. In pasta water the boiling-point rise is tiny, a fraction of a degree.

Sources and further reading

More in Chemistry · All calculators

This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.