Ideal Gas Volume using Ideal Gas Mixture Model in Binary System Calculator

Ideal Gas Volume Formula:

\[ V_{ig} = y_1 \times V_{1ig} + y_2 \times V_{2ig} \]

Mole Fraction of Component 1 in Vapour Phase (y₁):

Ideal Gas Volume of Component 1 (V₁ig):

m³

Mole Fraction of Component 2 in Vapour Phase (y₂):

Ideal Gas Volume of Component 2 (V₂ig):

m³

Ideal Gas Volume (Vig):

m³

Definition: This calculator estimates the ideal gas volume of a binary mixture using the ideal gas mixture model.

Purpose: It helps chemical engineers and researchers determine the volume occupied by an ideal gas mixture of two components.

The calculator uses the formula:

\[ V_{ig} = y_1 \times V_{1ig} + y_2 \times V_{2ig} \]

Where:

Explanation: The total volume is the sum of each component's volume contribution, weighted by their mole fractions.

Details: Accurate volume calculations are essential for designing chemical processes, reactors, and storage systems.

Tips: Enter the mole fractions (must sum to 1) and ideal gas volumes for both components. All values must be ≥ 0.

Q1: What is an ideal gas mixture?
A: An ideal gas mixture follows the ideal gas law and has no intermolecular interactions between components.

Q2: Why do mole fractions need to sum to 1?
A: Because they represent the complete composition of the binary system (100% of the mixture).

Q3: Can this be used for real gases?
A: Only for conditions where the ideal gas approximation is valid (low pressure, high temperature).

Q4: How do I find ideal gas volumes for components?
A: Use the ideal gas law (V = nRT/P) for each pure component under the same conditions.

Q5: What if I have more than two components?
A: The formula extends to \( V_{ig} = \sum y_i V_{iig} \) for any number of components.