Calculate boiling point elevation, freezing point depression, osmotic pressure, and vapor pressure lowering for solutions.
Colligative properties are properties of solutions that depend on the ratio of the number of solute particles to the number of solvent molecules in a solution, and not on the nature of the chemical species present. These properties include:
Key Insight: Colligative properties are proportional to the concentration of solute particles, not their identity. This makes them particularly useful for determining molecular weights of unknown compounds.
Vapor Pressure Lowering: The presence of a non-volatile solute lowers the vapor pressure of a solvent. Described by Raoult's Law: P = Xsolvent × P°
Boiling Point Elevation: Adding a solute increases the boiling point of a solvent. The change is given by: ΔTb = i × Kb × m
Freezing Point Depression: Adding a solute decreases the freezing point of a solvent. The change is given by: ΔTf = i × Kf × m
Osmotic Pressure: The pressure required to prevent osmosis. Described by: π = i × M × R × T
| Solvent | Kb (°C/m) | Kf (°C/m) | Boiling Point (°C) | Freezing Point (°C) |
|---|---|---|---|---|
| Water | 0.512 | 1.86 | 100.0 | 0.0 |
| Benzene | 2.53 | 5.12 | 80.1 | 5.5 |
| Acetic Acid | 3.07 | 3.90 | 118.1 | 16.6 |
| Chloroform | 3.63 | 4.70 | 61.2 | -63.5 |
| Ethanol | 1.22 | 1.99 | 78.4 | -114.6 |
| Carbon Tetrachloride | 5.03 | 29.8 | 76.8 | -22.8 |
The Van't Hoff factor represents the number of particles a solute dissociates into in solution. For example:
Practical Application: Colligative properties have numerous real-world applications, including antifreeze in car radiators, salting icy roads, preserving food, and in medical applications like intravenous solutions.