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Colligative properties

physical science Maturity 9-11 Next article →

Colligative properties are unique characteristics of solutions. They depend only on the ratio of solute particles to solvent particles. They do not depend on the specific chemical identity of the solute. This means that adding different types of substances can cause the same effect. The effect is based on how many particles are present in the liquid. The term comes from the Latin word "colligatus," which means "bound together." This name shows that these different properties share a common mathematical foundation.

Freezing point depression and boiling point elevation
Freezing point depression and boiling point elevation

These properties occur when a non-volatile solute is dissolved in a volatile liquid solvent. A solute is the substance being dissolved. The solvent is the liquid doing the dissolving. When solute particles enter the liquid, they displace some solvent molecules. This increases the entropy, or disorder, of the system. This process changes the solvent's properties by reducing the concentration of the solvent itself. While these rules are most accurate for "ideal solutions," they work well for real, dilute solutions. A dilute solution is one that contains only a small amount of solute.

Freezing point depression and boiling point elevation
Freezing point depression and boiling point elevation

One major property is the relative lowering of vapor pressure. Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid. When you add a non-volatile solute, the vapor pressure of the solvent decreases. This is described by Raoult's law. For an ideal solution, the vapor pressure is determined by the mole fraction of the components. If a solute dissociates, it breaks into more particles. We use the van 't Hoff factor, represented by "i," to account for this. For example, magnesium chloride (MgCl2) can dissociate into three ions. This increase in particle count further lowers the vapor pressure.

Freezing point depression and boiling point elevation
Freezing point depression and boiling point elevation

Another property is boiling point elevation, also known as ebullioscopy. The boiling point is the temperature where vapor pressure equals external pressure. Adding a solute stabilizes the solvent in its liquid phase. This lowers the chemical potential of the solvent. Because the solute reduces the rate of evaporation, the liquid must reach a higher temperature to boil. The change in boiling point is proportional to the molality of the solution. Molality is the amount of solute in one kilogram of solvent. The ebullioscopic constant (Kb) for water is 0.512 °C kg/mol.

Freezing point depression and boiling point elevation
Freezing point depression and boiling point elevation

Conversely, adding a solute causes freezing point depression, or cryoscopy. The freezing point is the temperature where the liquid and solid phases are in equilibrium. In a solution, fewer solvent molecules are available to freeze into a solid. To reach a new equilibrium, the temperature must drop. This is why road salt is used to melt ice on streets. The cryoscopic constant (Kf) for water is 1.86 °C kg/mol. Both boiling point elevation and freezing point depression are proportional to the lowering of vapor pressure. These effects are most predictable when the solute remains in the liquid phase.

Freezing point depression and boiling point elevation
Freezing point depression and boiling point elevation

Osmotic pressure is a third important colligative property. This occurs when a solution is separated from a pure solvent by a semipermeable membrane. This membrane allows solvent molecules to pass through but blocks solute particles. Solvent molecules move into the solution through a process called osmosis. This continues until a pressure difference is created. The osmotic pressure is the pressure required to stop this net transfer. Two scientists, W. F. P. Pfeffer and J. H. van't Hoff, discovered laws for this. They found that osmotic pressure is proportional to both concentration and absolute temperature.

Freezing point depression and boiling point elevation
Freezing point depression and boiling point elevation

Scientists use these properties to study many different substances. By measuring boiling or freezing point changes, they can calculate molar mass. This is very helpful for studying small molecules and large polymers. It is often the only way to study certain polymers. In 1891, Wilhelm Ostwald introduced the term "colligative." He categorized solute properties into three distinct groups. He identified colligative properties, additive properties like mass, and constitutional properties. Additive properties depend on the molecular formula of the solute. Constitutional properties depend on the specific molecular structure.

Freezing point depression and boiling point elevation
Freezing point depression and boiling point elevation
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