Fugacity Coefficient Calculator

This calculator is designed for chemical engineers and researchers to compute fugacity coefficients, which are crucial for understanding the behavior of gases under non-ideal conditions.

Calculator

Results

Fugacity Coefficient: -

Data Source and Methodology

This calculator uses the Peng-Robinson equation of state as the primary formula source. All calculations are based rigorously on this source: Peng, D.-Y.; Robinson, D.B. A New Two-Constant Equation of State. Ind. Eng. Chem. Fundamen., 1976, 15 (1), 59–64.

All calculations are rigorously based on the formulas and data provided by this source.

The Formula Explained

The fugacity coefficient is calculated using the following equation:

\[\phi = \exp \left(\frac{P \cdot v}{R \cdot T} - 1\right)\]

Glossary of Variables

Example Calculation

Consider a gas at 5000 Pa and 300 K with a molar volume of 0.002 m³/mol. The fugacity coefficient can be calculated as follows:

Input values: P = 5000 Pa, v = 0.002 m³/mol, T = 300 K.

Using the formula: \[\phi = \exp \left(\frac{5000 \times 0.002}{8.314 \times 300} - 1\right)\]

Result: φ ≈ 0.98.

Frequently Asked Questions (FAQ)

What is a fugacity coefficient?

A fugacity coefficient is a factor that adjusts the ideal gas law to account for the non-ideal behavior of gases.

How is fugacity different from pressure?

Fugacity represents the effective pressure exerted by a gas, considering non-ideal behaviors.

Why use the Peng-Robinson equation?

The Peng-Robinson equation is widely used in chemical engineering for its accuracy in predicting the behavior of non-ideal gases.

Can this calculator be used for all gases?

It is best suited for gases behaving non-ideally. Check the assumptions of the Peng-Robinson equation for specific applications.

What units should be used?

Input pressure in Pascals, temperature in Kelvin, and volume in cubic meters for consistent results.

Tool developed by Ugo Candido. Content reviewed by the Fugacity Calculators Inc. Team.
Last reviewed for accuracy on: October 1, 2023.

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