Overview
Adding a solute to a solvent, changing pressure, or gaining altitude all change when and how a substance changes phase โ and the calculations behind these changes are more connected than they first appear. This guide covers phase behavior in both directions: how pressure and altitude affect pure-substance boiling point, and how dissolved solutes shift boiling point, freezing point, vapor pressure, and osmotic pressure, all as expressions of the same underlying colligative-property principle.
Start with pure-substance behavior, then move into solute-driven effects, ending with the phase rule that explains why these effects are even possible.
Step 1: Calculate Boiling Point Under Different Conditions
A pure substance's boiling point isn't fixed โ it depends on surrounding pressure, which is why water boils at a lower temperature at high altitude, where atmospheric pressure is reduced.
The Boiling Point Calculator handles the general pure-substance case, and the Boiling Point at Altitude Calculator adjusts specifically for elevation.
Step 2: Calculate Colligative Effects of Dissolved Solutes
Dissolved solutes shift both boiling point (upward) and freezing point (downward) from the same underlying mechanism โ disrupting the solvent's ability to organize into a crystal or escape into vapor โ and the size of both shifts depends on solute molality and how many particles each solute unit dissociates into in solution.
The Boiling Point Elevation Calculator and Freezing Point Depression Calculator calculate these two related but opposite-direction shifts from solute concentration and dissociation behavior.
Step 3: Calculate Vapor Pressure
Vapor pressure โ the pressure exerted by a substance's vapor in equilibrium with its liquid โ drives evaporation rate and factors into humidity, weather, and storage calculations well beyond just predicting boiling point.
The Vapor Pressure Calculator handles general substances, and the Vapor Pressure of Water Calculator is optimized specifically for water, the most frequently referenced case.
Step 4: Calculate Osmotic Pressure
Osmotic pressure โ the pressure needed to stop solvent flow across a semi-permeable membrane โ is a colligative property like boiling point elevation and freezing point depression, depending on the number of dissolved particles rather than their specific identity.
The Osmotic Pressure Calculator calculates this pressure from solute concentration, following the same particle-counting logic used throughout Step 2.
Step 5: Reference Standard Conditions and the Phase Rule
Gas calculations often need a fixed reference point โ standard temperature and pressure (STP) โ to compare measurements taken under different conditions, using the well-known 22.4 L/mol molar volume relationship. Separately, the Gibbs phase rule explains conceptually 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, and the Gibbs Phase Rule Calculator calculates a system's degrees of freedom from its number of components and phases.
Key Terms
- Colligative property โ 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 โ the pressure exerted by a substance's vapor in equilibrium with its liquid phase at a given temperature
- Molality โ a concentration unit (moles of solute per kilogram of solvent) used in colligative property calculations because it doesn't change with temperature
- Osmotic pressure โ 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) โ a fixed reference point used to compare gas measurements taken under different conditions
- Degrees of freedom (Gibbs phase rule) โ the number of variables that can be independently changed in a system while maintaining the same number of phases