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Raoult's Law Vapor Pressure Depression Calculator

Raoult's Law states that the partial vapor pressure of a solvent above an ideal solution equals its pure vapor pressure times its mole fraction.

Equilibrium vapor pressure of pure solvent (pure water at 25°C is 3.17 kPa / 23.8 mmHg).

Mole fraction of solvent in solution (between 0 and 1).

Calculated Result
3.01 kPa

Solution Vapor Pressure

Solution Vapor Pressure

3.01 kPa

Depression (ΔP)

0.16 kPa

Solvent Mole Fraction

0.950

Pure Solvent Pressure

3.17 kPa

Calculation Breakdown

  1. Raoult's Law of Ideal SolutionsP = 0.95 × 3.17 kPa = 3.011 kPaPsolution=χsolvent⋅Psolvent∘P_{\text{solution}} = \chi_{\text{solvent}} \cdot P^{\circ}_{\text{solvent}}
  2. Colligative Vapor Pressure Depression (ΔP)ΔP = 3.17 - 3.011 = 0.159 kPaΔP=P∘−P=χsolute⋅P∘\Delta P = P^{\circ} - P = \chi_{\text{solute}} \cdot P^{\circ}

Vapor Pressure vs Solvent Mole Fraction (P° = 3.17 kPa)

Interactive visualization based on your current inputs

Pressure (kPa)
0.00.81.62.43.20.60.70.80.91.0Solvent Mole Fraction χVapor Pressure (kPa)

What Is the Raoult's Law Vapor Pressure Depression Calculator?

Raoult's Law was established by French chemist François-Marie Raoult in 1887 and explains colligative solvent depression.

How Does the Raoult's Law Vapor Pressure Depression Calculator Work?

Solute particles occupy surface area at the liquid-gas interface, reducing the rate at which solvent molecules escape into the vapor phase.

Raoult's Law Vapor Pressure Depression Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

P_{\text{solution}} = \chi_{\text{solvent}} \cdot P^{\circ}, \quad \Delta P = P^{\circ} - P

Solution vapor pressure equals solvent mole fraction times pure solvent vapor pressure.

How to Use the Raoult's Law Vapor Pressure Depression Calculator

  1. Input pure solvent vapor pressure in kPa or mmHg.
  2. Enter solvent mole fraction (0 to 1).

Step-by-Step Example Calculation

Aqueous Sugar Solution Vapor Depression

Input Values:

purePressure:3.17
moleFraction:0.95
Worked Steps: In a solution with 0.95 mole fraction water at 25°C, vapor pressure depresses from 3.17 kPa to 3.01 kPa (ΔP = 0.16 kPa).

Understanding Your Result

Solution Vapor Pressure: Reduced equilibrium headspace pressure.

Vapor Pressure Lowering (ΔP): Absolute pressure drop.

Factors That Affect the Result

  • Solute concentration and solvent purity.

When Should You Use This Calculator?

  • Chemical distillation column engineering and thermodynamic phase equilibria.

Assumptions & Limitations

  • Assumes non-volatile solute and ideal thermodynamic mixing.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard thermodynamic formulation for ideal dilute solutions.

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