Fugacity

In thermodynamics, the fugacity is a state function of any isothermal system. The fugacity, which has units of pressure, represents the tendency of a fluid to e…

Fugacity

In thermodynamics, the fugacity is a state function of any isothermal system. The fugacity, which has units of pressure, represents the tendency of a fluid to escape or expand isothermally. For gases at low pressures where the ideal gas law holds, fugacity is equal to pressure. The ratio ϕ=f/P between fugacity f and pressure P is called the fugacity coefficient; therefore, ϕ=1 for an ideal gas.

The fugacity f is defined at fixed temperature T by the following differential relation:

dln⁡f=dGRT=VdPRT

where G is the Gibbs free energy, R is the molar gas constant, and V is the fluid's volume. For any two isothermal physical states, represented by subscripts 1 and 2, the ratio of the two fugacities is as follows:

f2/f1=exp(1RT∫G1G2dG)=exp(1RT∫P1P2VdP)



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