Raoults Law Vapor Pressure Calculator

Adding a nonvolatile solute to a solvent lowers the solvent's vapor pressure, because solute particles dilute the solvent at the liquid surface. Raoult's law captures this exactly for an ideal solution: the vapor pressure of the solution equals the solvent's mole fraction times the pure solvent's vapor pressure. The drop, called vapor-pressure lowering, is the foundation of the other colligative properties. This calculator takes the solvent mole fraction and the pure solvent vapor pressure and returns the solution vapor pressure and the lowering in the same pressure unit.

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Raoult's law formula

P_solution = x_solvent * P_pure
x_solute = 1 - x_solvent
Delta P = P_pure - P_solution = x_solute * P_pure

The vapor pressure scales with the fraction of the liquid surface that is solvent, which is the solvent mole fraction. The lowering equals the solute mole fraction times the pure vapor pressure, since the two mole fractions add to one.

Raoult's law facts

  • Pure water's vapor pressure at 25 degrees C is about 23.76 mmHg.
  • Raoult's law is exact for ideal solutions and approximate for dilute real ones.
  • Vapor-pressure lowering is the basis of boiling point elevation and freezing point depression.
  • For dissociating solutes, use the effective solute mole fraction including all ions.
  • The output uses the same pressure unit you enter for the pure vapor pressure.

Raoult's law: frequently asked questions

What is Raoult's law?

Raoult's law states that the vapor pressure of a solvent above an ideal solution equals the mole fraction of the solvent times the vapor pressure of the pure solvent. Dissolving a nonvolatile solute lowers the solvent's vapor pressure in proportion to how much of the liquid is now solute particles.

What is the Raoult's law formula?

For a nonvolatile solute, P_solution = x_solvent * P_pure, where x_solvent is the mole fraction of the solvent and P_pure is the vapor pressure of the pure solvent. The vapor-pressure lowering is Delta P = P_pure - P_solution = x_solute * P_pure, since the mole fractions sum to one.

Why does dissolving a solute lower vapor pressure?

Solute particles occupy part of the liquid surface and dilute the solvent, so fewer solvent molecules escape into the vapor at any instant. Because vapor pressure depends on the fraction of surface that is solvent, it scales with the solvent mole fraction, which is the heart of Raoult's law.

Does Raoult's law assume an ideal solution?

Yes. Raoult's law holds exactly only for ideal solutions, where solute-solvent interactions resemble solvent-solvent interactions. Real solutions show positive or negative deviations, and the law works best for dilute solutions of a nonvolatile, non-dissociating solute. For dissociating solutes, use the effective solute mole fraction.

What units does this calculator use?

The solvent mole fraction is dimensionless between 0 and 1. The pure solvent vapor pressure can be in any pressure unit you choose (for example mmHg, kPa, or atmospheres); the solution vapor pressure and the lowering are returned in the same unit you enter, since the law multiplies a dimensionless fraction by a pressure.

Official sources

Reviewed by the CalculatorHub team, edited by James Graham, 16 June 2026. See our methodology.