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Rachford-Rice Flash Vaporization Calculator

The Rachford-Rice equation calculates the vapor-liquid phase distribution when a multicomponent chemical mixture is flashed through an expansion separator.

Mole fraction of component 1 (Light, e.g. Methane).

K-value (y1 / x1) for component 1.

Mole fraction of component 2 (Intermediate, e.g. Propane).

K-value for component 2.

Mole fraction of component 3 (Heavy, e.g. Pentane).

K-value for component 3.

Calculated Result
49.00%

Vapor Fraction (V / F)

Liquid Fraction (L / F)

51.00%

Convergence Residual

0.0000000

Calculation Breakdown

  1. Rachford-Rice Equation Convergencesum[ zi*(Ki - 1)/(1 + V*(Ki - 1)) ] = 0 => V/F = 0.4900
  2. Equilibrium Phase Molar FractionsVapor V/F = 49.00%, Liquid L/F = 51.00%

What Is the Rachford-Rice Flash Vaporization Calculator?

The Rachford-Rice algorithm solves for the molar split between vapor and liquid in an isothermal, isobaric flash drum.

How Does the Rachford-Rice Flash Vaporization Calculator Work?

Combines component mass balance with phase equilibrium definition Ki = yi / xi, yielding a strictly monotonic function bounded between 0 and 1.

Rachford-Rice Flash Vaporization Calculator Formula & Variables

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

f(psi) = sum_{i=1}^N rac{z_i (K_i - 1)}{1 + psi (K_i - 1)} = 0, quad psi = rac{V}{F}

Rachford-Rice objective function for vapor-liquid flash equilibrium.

How to Use the Rachford-Rice Flash Vaporization Calculator

  1. Specify feed mole fractions zi and equilibrium K-values Ki for each chemical component.

Step-by-Step Example Calculation

3-Component Hydrocarbon Flash Separator

Input Values:

z1:0.3
k1:3.2
z2:0.4
k2:1.1
z3:0.3
k3:0.25
Worked Steps: Vapor fraction V/F = 43.1%, Liquid fraction L/F = 56.9%.

Understanding Your Result

Displays the equilibrium vapor fraction V/F (psi) and liquid fraction L/F.

Factors That Affect the Result

  • Temperature and pressure dictate component K-values via thermodynamic equations of state (Peng-Robinson, SRK).

When Should You Use This Calculator?

  • Designing crude oil separation trains, LNG fractionation columns, and distillation flash drums.

Assumptions & Limitations

  • Assumes two-phase vapor-liquid thermodynamic equilibrium without liquid-liquid phase splitting.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard chemical engineering VLE formulation.

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