Acentric factor

The acentric factor $ω$ is a conceptual number introduced by Kenneth Pitzer in 1955, proven to be very useful in the description of matter.^[1] It has become a standard for the phase characterization of single & pure components. The other state description parameters are molecular weight, critical temperature, critical pressure, and critical volume (or critical compressibility). The acentric factor is said to be a measure of the non-sphericity (centricity) of molecules.^[2] As it increases, the vapor curve is "pulled" down, resulting in higher boiling points.

It is defined as:

\omega =-\log _{10}(p_{r}^{\rm {sat}})-1,{\rm {\ at\ }}T_{r}=0.7

.

where $T_{r}={\frac {T}{T_{c}}}$ is the reduced temperature, $p_{r}^{\rm {sat}}={\frac {p^{\rm {sat}}}{p_{c}}}$ is the reduced saturation vapor pressure.

For many monatomic fluids

p_{r}^{\rm {sat}}{\rm {\ at\ }}T_{r}=0.7

,

is close to 0.1, therefore $\omega \to 0$ . In many cases, $T_{r}=0.7$ lies above the boiling temperature of liquids at atmosphere pressure.

Values of $ω$ can be determined for any fluid from accurate experimental vapor pressure data. Preferably, these data should first be regressed against a vapor pressure equation, like $ln(P) = A + B/T +C*ln(T) + D*T^6$ . (In this regression, a careful check for erroneous vapor pressure measurements must be made, preferably using a log(P) vs. 1/T graph, and any obviously incorrect or dubious values should be discarded. The regression should then be re-run with the remaining good values until a good fit is obtained.) Using the known critical temperature, Tc, vapor pressure at Tr=0.7 can then be used in the defining equation, above, to estimate acentric factor.

The definition of $ω$ gives essentially zero for the noble gases argon, krypton, and xenon. $\omega$ is very close to zero for other spherical molecules.^[2] Values of $ω \leq -1$ correspond to vapor pressures above the critical pressure, and are non-physical.

By definition, a van der Waals fluid has a critical compressibility of 3/8 and an acentric factor of about −0.302024, indicating a small ultra-spherical molecule. A Redlich-Kwong fluid has a critical compressibility of 1/3 and an acentric factor of about 0.058280, close to nitrogen; without the temperature dependence of its attractive term, its acentric factor would be only -0.293572.

Values of some common gases[]

Molecule	Acentric Factor^[3]
Acetone	0.304^[4]
Acetylene	0.187
Ammonia	0.253
Argon	0.000
Carbon Dioxide	0.228
Decane	0.484
Ethanol	0.644^[4]
Helium	-0.390
Hydrogen	-0.220
Krypton	0.000
Methanol	0.556^[4]
Neon	0.000
Nitrogen	0.040
Nitrous Oxide	0.142
Oxygen	0.022
Xenon	0.000

References[]

^ Adewumi, Michael. "Acentric Factor and Corresponding States". Pennsylvania State University. Retrieved 2013-11-06.
^ ^a ^b Saville, G. (2006). "ACENTRIC FACTOR". A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering. doi:10.1615/AtoZ.a.acentric_factor.
^ Yaws, Carl L. (2001). Matheson Gas Data Book. McGraw-Hill.
^ ^a ^b ^c Reid, R.C.; Prausnitz, J.M.; Poling, B.E. The Properties of Gases and Liquids (4th ed.). McGraw-Hill. ISBN 0070517991.

[1] Adewumi, Michael. "Acentric Factor and Corresponding States". Pennsylvania State University. Retrieved 2013-11-06.

[thermopedia-2] Saville, G. (2006). "ACENTRIC FACTOR". A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering. doi:10.1615/AtoZ.a.acentric_factor.

[3] Yaws, Carl L. (2001). Matheson Gas Data Book. McGraw-Hill.

[pgas4e-4] Reid, R.C.; Prausnitz, J.M.; Poling, B.E. The Properties of Gases and Liquids (4th ed.). McGraw-Hill. ISBN 0070517991.

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[2]

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[4]

Acentric factor

Values of some common gases[]

See also[]

References[]