Freezing Point Depression Calculator

Freezing point depression calculator: how far a solute lowers the freezing point, e.g. salt on roads or antifreeze.

ΔTf = i · Kf · b

How to use this calculator

  1. Choose the quantity you want under “Solve for”.
  2. Type the known values and pick their units: any combination works.
  3. The result updates as you type. Open “Show the steps” to see the substitution.

ΔT_f = i·K_f·b. For water K_f = 1.86 K·kg/mol.

Use i ≈ 2 for NaCl, 3 for CaCl₂ and 1 for sugars or glycol.

Formula

ΔTf = i · Kf · b

SymbolQuantityUnits
ivan 't Hoff factor—
KfCryoscopic constant (water 1.86)K·kg/mol
bMolalitymol/kg, mmol/kg
ΔTfFreezing point dropK, °C, °F

Worked example

Given: i = 2 · Kf = 1.86 K·kg/mol · b = 0.5 mol/kg

ΔT = i Kf b

Result: ΔTf = 1.86 °C

Frequently asked questions

0.5 mol/kg NaCl in water?

The freezing point drops 1.86 °C, to −1.86 °C.

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