Chemistry / CALCULATOR

Freezing-Point Depression

Freezing-Point Depression: explore an explicit model with input checks, a formula and a worked example.

Runs on your deviceUpdates as you typeFormula & example ↓
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Your inputs

Adjust the values to explore a different result.

K·kg/mol
Enter solvent kf in K·kg/mol.
mol/kg
Enter molality in mol/kg.
Enter van ’t hoff factor.
°C
Enter pure-solvent freezing point in °C.

Formula

ΔTf=i Kf m; Tf=Tf,pure−ΔTf.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Dilute ideal-solution model; the van ’t Hoff factor is an input, not inferred from a formula.

Example Calculation

Example inputs
  • Solvent Kf: 1.86 K·kg/mol
  • Molality: 1 mol/kg
  • van ’t Hoff factor: 2
  • Pure-solvent freezing point: 0 °C

Kf=1.86, molality 1 and i=2 predict a 3.72 K decrease.

Method references

Frequently asked questions

How do I use this calculator?

Enter solvent kf, molality, van ’t hoff factor, pure-solvent freezing point. The result updates automatically. Use Reset to restore the example values.

What method does it use?

ΔTf=i Kf m; Tf=Tf,pure−ΔTf.. Dilute ideal-solution model; the van ’t Hoff factor is an input, not inferred from a formula.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.