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Chemistry & Materials Science

Vapor Pressure Calculator

Determine the exact vapor pressure of a solution containing a non-volatile solute using the pure solvent's vapor pressure and mole fraction.

Torr
Solution Vapor Pressure (P)
22.972 Torr
Vapor Pressure Lowering (ΔP)-0.828 Torr
Mole Fraction of Solvent0.9652

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The Desire to Evaporate

Leave a glass of water on the counter, and it will eventually disappear. Even though the water isn't boiling, some of the molecules at the surface have enough kinetic energy to break free and turn into a gas.

If you put a lid on that glass, those escaped gas molecules will bounce around and create a physical pressure against the lid. This is called the Vapor Pressure (PP^\circ).

  • Liquids that evaporate easily (like acetone or rubbing alcohol) have a High Vapor Pressure.
  • Liquids that evaporate slowly (like water or motor oil) have a Low Vapor Pressure.

Vapor Pressure Lowering

What happens if you dissolve a non-volatile chemical (like salt or sugar) into the water? The solute particles physically block the surface of the liquid, meaning fewer water molecules have the space to escape.

Because fewer molecules escape into the air, the vapor pressure inside the sealed glass physically drops. This is another Colligative Property, and it explains exactly why boiling points are elevated!

The Lowering Equation (Raoult's Law for Solutes)

Psolution=XsolventPsolvent\begin{aligned} P_{solution} = X_{solvent} \cdot P^\circ_{solvent} \end{aligned}

Where:
PsolutionP_{solution}=
Vapor Pressure of the Solution
XsolventX_{solvent}=
Mole Fraction of the Solvent
PsolventP^\circ_{solvent}=
Vapor Pressure of Pure Solvent

To calculate the new vapor pressure of the solution, you simply multiply the pure solvent's original vapor pressure by the mole fraction of the solvent remaining in the mixture.

Frequently Asked Questions

A non-volatile substance is one that does not evaporate at normal temperatures. Salt and sugar are non-volatile. If you dissolve them in water, only the water evaporates; the salt stays trapped in the glass forever.

The Mole Fraction of the solvent is simply the moles of the solvent divided by the total moles in the entire glass (molessolvent/(molessolvent+molessolute)moles_{solvent} / (moles_{solvent} + moles_{solute})). It is always a decimal between 0 and 1.

They are two sides of the same coin. Boiling physically occurs when the liquid's vapor pressure equals the atmospheric pressure pushing down on it. If the vapor pressure drops, you have to heat the liquid much hotter to force the pressure back up to atmospheric levels.