Fugacity Coefficient
\[\phi=\frac{f}{P}\]

Variables

phi[φ]fugacity coefficient
ffugacity of the gas (Pa)
Pabsolute pressure (Pa)

Description

What is this formula?


The fugacity coefficient measures the deviation of a real gas from ideal-gas behavior. It relates the fugacity of a gas to its actual pressure and is widely used in chemical thermodynamics and phase-equilibrium calculations.


When to use it


Use this equation when working with high-pressure gases, vapor-liquid equilibrium calculations, equations of state, and thermodynamic property estimation.


Example


A gas has a fugacity of 4.2 MPa at an operating pressure of 5.0 MPa.


Formula:


φ = f / P


Substitution:


φ = 4.2 / 5.0


Result:


φ = 0.84


The gas exhibits non-ideal behavior, with its fugacity being lower than its actual pressure.


Applications


- Vapor-liquid equilibrium calculations

- Natural gas processing

- Petrochemical simulations

- Equation-of-state modeling

- High-pressure thermodynamics


Note


This equation is an exact thermodynamic definition. In practical applications, the fugacity coefficient is usually calculated from equations of state such as Peng-Robinson, Soave-Redlich-Kwong, or virial equations. For an ideal gas, φ = 1.

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