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Vapor Pressure Calculator (Raoult's Law)

Calculate vapor pressures in ideal liquid mixtures using Raoult's Law.
Find total and partial pressures, vapor composition, and when ideal behavior applies.

Vapor Pressure

Raoult’s Law describes the vapor pressure of ideal solutions — mixtures where components have similar intermolecular forces.

Partial pressure of component A:

P_A = x_A × P°_A

Total vapor pressure:

P_total = x_A × P°_A + x_B × P°_B

Where:

  • x_A, x_B = mole fractions in the liquid phase (x_A + x_B = 1)
  • P°_A, P°_B = vapor pressures of pure components

Vapor composition (mole fraction in vapor):

y_A = P_A / P_total = x_A × P°_A / P_total

Positive and negative deviations from Raoult’s Law:

  • Ideal (Raoult’s Law): A-B interactions ≈ A-A and B-B interactions (e.g., benzene-toluene)
  • Positive deviation: A-B interactions weaker than pure components (e.g., ethanol-water, acetone-hexane) → P_total > Raoult’s Law
  • Negative deviation: A-B interactions stronger (e.g., acetone-chloroform, HCl-water) → P_total < Raoult’s Law

Benzene-toluene system at 80°C (approximately ideal):

  • P°_benzene ≈ 760 mmHg (normal boiling point!)
  • P°_toluene ≈ 290 mmHg

Applications:

  • Fractional distillation (separating components by boiling point)
  • Understanding azeotropes (constant-boiling mixtures that cannot be separated by simple distillation)
  • Colligative properties (related: vapor pressure lowering by non-volatile solutes)

Colligative properties connection: When a non-volatile solute dissolves, x_solvent decreases → vapor pressure decreases. ΔP = x_solute × P°_solvent (Raoult’s Law for non-volatile solute — see vapor pressure lowering calculator).


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