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Antoine Equation Vapor Pressure & Binary VLE Calculator

The Antoine equation is the standard thermodynamic correlation for estimating pure component saturation vapor pressure as a function of temperature.

Equilibrium temperature.

Antoine constant A for component 1 (e.g. Water).

Antoine constant B for component 1.

Antoine constant C for component 1.

Antoine constant A for component 2 (e.g. Ethanol).

Antoine constant B for component 2.

Antoine constant C for component 2.

Liquid mole fraction of component 1 (0 to 1).

Calculated Result
270.01 mmHg

Total Bubble Pressure (P)

Result Summary

Bubble point pressure: 270.01 mmHg (0.3600 bar). Equilibrium vapor composition y₁ = 0.2208. Relative volatility α₁₂ = 0.425.

Calculation Breakdown

  1. Step 1: Antoine Pure Component Vapor PressuresP₁ˢᵃᵗ = 10^(A₁ - B₁/(T + C₁)) = 149.04 mmHg, P₂ˢᵃᵗ = 350.66 mmHg
  2. Step 2: Raoult Law Bubble PressureP = x₁·P₁ˢᵃᵗ + x₂·P₂ˢᵃᵗ = 0.4·149.0 + 0.60·350.7 = 270.01 mmHg
  3. Step 3: Vapor Phase Equilibrium Composition & Volatilityy₁ = (x₁·P₁ˢᵃᵗ) / P = 0.2208, α₁₂ = P₁ˢᵃᵗ / P₂ˢᵃᵗ = 0.425

What Is the Antoine Equation Vapor Pressure & Binary VLE Calculator?

The Antoine equation is an empirical semi-theoretical relation describing vapor pressure of pure liquids.

Vapor-Liquid Equilibrium (VLE) models phase distribution in distillation columns.

How Does the Antoine Equation Vapor Pressure & Binary VLE Calculator Work?

Calculates pure saturation pressures P₁ˢᵃᵗ and P₂ˢᵃᵗ in mmHg.

Computes total bubble pressure P = x₁·P₁ˢᵃᵗ + (1 - x₁)·P₂ˢᵃᵗ.

Evaluates equilibrium vapor mole fraction y₁ and relative volatility α₁₂.

Antoine Equation Vapor Pressure & Binary VLE Calculator Formula & Variables

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

log₁₀(Pˢᵃᵗ) = A - B / (T + C), P_total = x₁·P₁ˢᵃᵗ + x₂·P₂ˢᵃᵗ, y₁ = (x₁·P₁ˢᵃᵗ) / P_total

Antoine vapor pressure equation combined with Raoult law for ideal binary vapor-liquid equilibrium.

How to Use the Antoine Equation Vapor Pressure & Binary VLE Calculator

  1. Enter temperature in °C.
  2. Input NIST Chemistry WebBook Antoine constants A, B, C for both species.
  3. Enter liquid mole fraction x₁.

Step-by-Step Example Calculation

Water-Ethanol Binary Mixture at 60 °C

Input Values:

tempCelsius:60
a1:8.07131
b1:1730.63
c1:233.426
a2:8.20417
b2:1642.89
c2:230.3
liquidMoleFraction:0.4
Worked Steps: Water-ethanol mixture at 60 °C with x₁ = 0.4.

Understanding Your Result

Primary output indicates total bubble pressure in mmHg.

Summary displays vapor phase composition y₁ and relative volatility α₁₂.

Factors That Affect the Result

  • Temperature (vapor pressure grows exponentially).
  • Relative volatility (α > 1 indicates component 1 is more volatile).

When Should You Use This Calculator?

  • Distillation column design, McCabe-Thiele calculations, and flash vessel sizing.

Assumptions & Limitations

  • Assumes ideal liquid and vapor solution (activity coefficient γ = 1, fugacity coefficient φ = 1).

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard chemical engineering Antoine parameters with mmHg/°C units.

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