Raoult's Law Calculator (Boiling Point Elevation & Freezing Point Depression)

Calculate boiling point elevation and freezing point depression from a solute's molality and van't Hoff factor using Raoult's law. Supports six solvent constants (Kb/Kf) including water and benzene, and accounts for electrolyte dissociation.

Molal boiling/freezing point constants by solvent

Standard reference values widely cited in textbooks. Use them to check your own hand calculations.

Solvent Kb (°C·kg/mol) Kf (°C·kg/mol) Normal bp (°C) Normal fp (°C)
Water 0.512 1.86 100.0 0.0
Benzene 2.53 5.12 80.1 5.5
Acetic acid 3.07 3.9 118.1 16.6
Cyclohexane 2.79 20.2 80.7 6.5
Naphthalene 5.8 6.9 218.0 80.2
Camphor 5.95 37.7 204.0 178.4

Tips

  • Electrolytes such as NaCl or CaCl2 dissociate into multiple ions in water, so setting the van't Hoff factor i above 1 brings the result closer to real measurements.
  • In the mass-based mode, just enter the mass of solute [g], its molar mass [g/mol], and the mass of solvent [kg] to have the molality calculated automatically.
  • Both boiling point elevation and freezing point depression are colligative properties: they depend only on the number of solute particles, not on what the solute actually is.
  • For a given solute amount, freezing point depression is often larger than boiling point elevation for common solvents, which is one reason calcium chloride is used as a road de-icer.
  • Use the i preset buttons (non-electrolyte / NaCl-like / CaCl2-like) to quickly try out common dissociation patterns.

Frequently Asked Questions

The van't Hoff factor (i) represents how many particles (ions or molecules) a solute splits into in solution. A non-electrolyte like sucrose stays as one particle, so i=1. NaCl fully dissociates into Na+ and Cl-, so i≈2. CaCl2 dissociates into Ca2+ and two Cl- ions (three particles total), so i≈3.

Boiling point elevation and freezing point depression are colligative properties proportional to the number of solute particles. Because table salt (NaCl) dissociates into Na+ and Cl- in water, it produces roughly twice the effect (i≈2) of a non-electrolyte at the same molar concentration, raising the boiling point further and lowering the freezing point further. This is exactly the principle used when salt is spread on icy roads.

Kb and Kf are constants unique to each solvent, representing how many degrees Celsius the boiling point or freezing point changes when a non-electrolyte is dissolved at a molality of 1 mol/kg. Because they depend on the solvent's molecular weight and how easily it freezes or boils, water and benzene have very different values.

Molality is the amount of solute [mol] per kilogram of solvent, and it doesn't change with temperature. Molarity is the amount of solute [mol] per liter of solution, which is affected by the volume change of the solution as temperature changes. Because boiling point elevation and freezing point depression calculations deal with temperature changes themselves, molality is the correct, temperature-independent quantity to use.

This tool includes Kb and Kf values for six common solvents (water, benzene, acetic acid, cyclohexane, naphthalene, and camphor). For other solvents, we recommend checking a specialized reference such as the CRC Handbook of Chemistry and Physics.
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Side Note — De-icers and the chemistry of colligative properties

The white granules scattered on winter roads are often calcium chloride (CaCl2) or sodium chloride (NaCl). These substances melt ice and snow not by warming them, but by lowering the freezing point of water itself once dissolved in it. This phenomenon, freezing point depression, is a classic example of the colligative properties that follow from Raoult's law.

The word "colligative" captures the idea that only the number of particles matters, not their identity. At the same molality, CaCl2 dissociates in water into Ca2+ and two Cl- ions — three particles in total — producing roughly three times the freezing point depression of a non-dissociating non-electrolyte like sucrose. That's one reason CaCl2 can act as a more powerful de-icer than NaCl in smaller quantities (though its corrosive effect on concrete is a separate consideration).

The same principle applies in the opposite direction to boiling point elevation. Adding salt to pasta water does raise its boiling point slightly, but at the amounts used in home cooking the rise is well under 1°C — nowhere near enough to make the water boil noticeably faster. The main reason cooks add salt is really to season the pasta; the boiling point elevation is just a minor chemical side effect.