Overview
Add a solute to a solvent, change the pressure, or gain altitude, and you change when and how a substance shifts phase. These calculations connect more than they first appear to. This guide covers phase behavior from both directions: how pressure and altitude affect a pure substance's boiling point, and how dissolved solutes shift boiling point, freezing point, vapor pressure, and osmotic pressure, all expressions of the same colligative-property idea.
Start with pure-substance behavior, move into solute-driven effects, then finish with the phase rule that explains why these effects happen at all.
Step 1: Calculate Boiling Point Under Different Conditions
A pure substance's boiling point isn't fixed. It depends on the surrounding pressure, which is why water boils at a lower temperature at high altitude, where atmospheric pressure drops.
The Boiling Point Calculator handles the general pure-substance case. The Boiling Point at Altitude Calculator adjusts specifically for elevation.
Step 2: Calculate Colligative Effects of Dissolved Solutes
Dissolved solutes push boiling point up and freezing point down, and both shifts trace back to the same mechanism: the solute particles interfere with the solvent's ability to organize into a crystal or escape into vapor. How big either shift gets depends on solute molality and how many particles each solute unit breaks into once dissolved.
The Boiling Point Elevation Calculator and Freezing Point Depression Calculator work out these two related, opposite-direction shifts from solute concentration and dissociation behavior.
Step 3: Calculate Vapor Pressure
Vapor pressure is the pressure a substance's vapor exerts when it sits in equilibrium with its liquid. It drives evaporation rate and feeds into humidity, weather, and storage calculations, well beyond predicting where something boils.
The Vapor Pressure Calculator handles general substances. The Vapor Pressure of Water Calculator is tuned for water specifically, since it's the case you'll hit most often.
Step 4: Calculate Osmotic Pressure
Osmotic pressure is the pressure needed to stop solvent flow across a semi-permeable membrane. Like boiling point elevation and freezing point depression, it's colligative: what matters is how many dissolved particles are present, not their identity.
The Osmotic Pressure Calculator works out this pressure from solute concentration, using the same particle-counting logic from Step 2.
Step 5: Reference Standard Conditions and the Phase Rule
Gas calculations often need a fixed reference point, standard temperature and pressure (STP), so measurements taken under different conditions can be compared using the 22.4 L/mol molar volume relationship. Separately, the Gibbs phase rule explains why a solution's boiling point, unlike a pure substance's, can vary at fixed pressure depending on concentration.
The STP Calculator converts gas measurements to and from standard conditions. The Gibbs Phase Rule Calculator works out a system's degrees of freedom from its number of components and phases.
Key Terms
- Colligative property: a property of a solution (boiling point elevation, freezing point depression, vapor pressure, osmotic pressure) that depends on the number of dissolved particles, not their identity
- Vapor pressure: the pressure a substance's vapor exerts in equilibrium with its liquid phase at a given temperature
- Molality: a concentration unit (moles of solute per kilogram of solvent) used in colligative property calculations because it doesn't shift with temperature
- Osmotic pressure: the pressure required to stop solvent flow across a semi-permeable membrane from a less concentrated to a more concentrated solution
- STP (Standard Temperature and Pressure): a fixed reference point used to compare gas measurements taken under different conditions
- Degrees of freedom (Gibbs phase rule): the number of variables you can change independently in a system while it keeps the same number of phases