Grade 12

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Syndrome properties


Fusion properties are properties of a solution that depend on the number of solute particles in the solution, not on the identity of the solute particles. These properties are interesting because they show how the addition of solute to the solvent affects certain properties of the solution. The main fusion properties include:

  • Relative lowering of vapour pressure
  • Boiling point elevation
  • Freezing point depression
  • Osmotic pressure

Relative lowering of vapour pressure

When a non-volatile solute dissolves in a solvent, the vapour pressure of the solvent over the solution decreases. This is called the relative lowering of vapour pressure. Let's go through some basic concepts and examples to see how this works.

Understanding vapor pressure

Vapor pressure is the pressure of a vapor that is in equilibrium with the liquid or solid form. It is a measure of the tendency of molecules in the liquid state to move into the vapor state. In a pure solvent, vapor pressure is determined by the strength of intermolecular forces.

Effect of solute on vapor pressure

When a solute is added to a solvent, it occupies space on the surface of the liquid, reducing the number of solvent molecules that go into the vapor state.

The decrease in vapor pressure can be described mathematically using Raoult's law:

P₁ = X₁ * P₁⁰

Where:

  • P₁ is the vapour pressure of the solvent in the solution
  • X₁ is the mole fraction of the solvent
  • P₁⁰ is the vapor pressure of the pure solvent

The relative loss of vapour pressure is given by:

(P₁⁰ - P₁) / P₁⁰ = X₂

Where X₂ is the mole fraction of the solute.

Pure Solvent Solution

Boiling point elevation

The boiling point of a liquid is the temperature at which its vapour pressure is equal to the external pressure. When a solute is dissolved in a solvent, the boiling point of the solution is higher than the boiling point of the pure solvent. This phenomenon is known as boiling point elevation.

Explanation

As already mentioned, adding a solute to a solvent decreases the vapour pressure of the solvent. As a result, the temperature must be increased to achieve a vapour pressure equal to the external pressure, which will increase the boiling point.

The increase in boiling point can be expressed as:

ΔT_b = i * K_b * m

Where:

  • ΔT_b is the boiling point elevation
  • i is the van 't Hoff factor (the number of particles that dissolve in the solute)
  • K_b is the ebullioscopic constant of the solvent
  • m is the molality of the solution

Example

If you dissolve table salt (NaCl) in water, the boiling point of the solution will be higher than that of pure water.

The Van't Hoff factor for NaCl is 2 because it dissociates into two ions: Na⁺ and Cl⁻.

Freezing point depression

The freezing point of a liquid is the temperature at which the liquid and solid phases are in equilibrium at atmospheric pressure. Adding a solute to a solvent lowers the freezing point of the solvent. This is called freezing point depression.

Explanation

When a solute is added, the vapor pressure of the solution is lower at any temperature. As a result, colder temperatures are needed to reach equilibrium between the solid and liquid states.

The formula for freezing point depression is:

ΔT_f = i * K_f * m

Where:

  • ΔT_f is the freezing point depression
  • i is the van 't Hoff factor
  • K_f is the cryoscopic constant of the solvent
  • m is the molality of the solution

Example

Antifreeze in car radiators is a classic example of freezing point depression, where ethylene glycol (the solute) is mixed with water (the solvent) to lower its freezing point.

Osmotic pressure

Osmotic pressure is the pressure required to prevent the flow of solvent molecules from a dilute solution to a concentrated solution through a semipermeable membrane. It is one of the important properties related to the fusion properties of solutions.

Concept

When two solutions with different concentrations are separated by a semipermeable membrane, the solvent molecules move towards the higher concentration part. This movement continues until pressure is applied to stop this process; this pressure is osmotic pressure.

Osmotic pressure is given by the formula:

π = i * M * R * T

Where:

  • π is osmotic pressure
  • i is the van 't Hoff factor
  • M is the molarity of the solution
  • R is the universal gas constant
  • T is the temperature in Kelvin

Example

In biological systems, osmotic pressure is important. For example, kidney function relies on the principle of osmosis to filter waste from the blood.

Conclusion

Fusion properties are important in understanding how solutes affect the properties of solvents when forming solutions. By mastering concepts such as vapor pressure lowering, boiling point raising, freezing point depression, and osmotic pressure, we can better understand practical applications in everyday life, such as antifreeze, desalination processes, and biological systems such as kidney function.


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