Fugacity of a Single Component: Screencasts
Explains why fugacity is important for single components and tells how it is used.
We suggest you list the important points in this screencast as a way to increase retention.
Explains how fugacity for a single component changes with temperature and pressure. Uses an interactive simulation to demonstrate the fugacity behavior.
We suggest you list the important points in this screencast as a way to increase retention.
Optional screencast: Fugacity Temperature Dependence: Single Component
Important Equations:
Antoine equations for component \(i\):
\[log_{10}(P^{sat} _i) = A_i – \frac{B_i}{C_i +T}\]
where \(P^{sat} _i\) is the saturation pressure
\(T\) is the temperature (most often in °C)
\(A_i, B_i,\) and \(C_i\) are constants for a given component, \(i\)
Fugacity of liquid at elevated pressure (Poynting correction):
\[f = \phi ^{sat}P^{sat}exp\left( \frac{V^L(P – P^{sat})}{RT}\right)\]
where \(V^L\) is the molar volume of the liquid
\(\phi ^{sat}\) is the fugacity coefficient at saturation pressure
\(P\) is the pressure
\(R\) is the ideal gas constant
\(T\) is the absolute temperature
Fugacity of solid using Poynting correction:
\[f = \phi ^{sat}P^{sat}exp\left( \frac{V^S(P – P^{sat})}{RT} \right) \]
where \(V^S\) is the molar volume of the liquid.
Vapor-liquid phase equilibrium:
\[f^L = f^V\]
where \(f^L\) is the fugacity of the liquid
\(f^V\) is the fugacity of the vapor
Gibbs free energy departure function \(G – G^{ig}\):
\[\frac{G – G^{ig}}{RT} = ln \left( \frac{f}{P} \right) = ln(\phi )\]
where \(f\) is the fugacity
\(\phi \) is the fugacity coefficient, \(\frac{f}{P}\)