“Theorem of corresponding states”的意思、由来-开放百科全书

According to van der Waals, the theorem of corresponding states (or principle/law of corresponding states) indicates that all fluids, when compared at the same reduced temperature and reduced pressure, have approximately the same compressibility factor and all deviate from ideal gas behavior to about the same degree.^[1]^[2]

Material constants that vary for each type of material are eliminated, in a recast reduced form of a constitutive equation. The reduced variables are defined in terms of critical variables.

It originated with the work of Johannes Diderik van der Waals in about 1873^[3] when he used the critical temperature and critical pressure to characterize a fluid.

The most prominent example is the van der Waals equation of state, the reduced form of which applies to all fluids.

Compressibility factor at the critical point

The compressibility factor at the critical point, which is defined as

, where the subscript

indicates the critical point, is predicted to be a constant independent of substance by many equations of state; the Van der Waals equation e.g. predicts a value of

See also

References

1. ^{{cite book |author1=Tester, Jefferson W. |author2=Modell, Michael |lastauthoramp=yes |title=Thermodynamics and its applications |publisher=Prentice Hall |year=1997 |isbn=0-13-915356-X}}
2. ^{{cite book|author1=Çengel Y.A. |author2=Boles M.A. |title=Thermodynamics: An Engineering Approach|edition=Sixth|publisher=McGraw Hill|year= 2007|isbn=9780071257718}} page 141
3. ^A Four-Parameter Corresponding States Correlation for Fluid Compressibility Factors {{Webarchive|url=https://web.archive.org/web/20070317215431/http://digital.library.okstate.edu/oas/oas_pdf/v56/p125_132.pdf |date=2007-03-17 }} by Walter M. Kalback and Kenneth E. Starling, Chemical Engineering Department, University of Oklahoma.
4. ^¹{{cite book|last=Goodstein|first=David|title=States of Matter|edition=1st|origyear=1975|year=1985|publisher=General Publishing Company, Ltd.|location=Toronto, Ontario, Canada|isbn=0-486-64927-X|page=452|chapter=6|trans-chapter=Critical Phenomena and Phase Transitions}}
5. ^¹²³⁴{{cite journal| last = de Boer| first = J.|date=April 1948| title = Quantum theory of condensed permanent gases I the law of corresponding states| journal = Physica| volume = 14| pages = 139–148| publisher = Elsevier| location = Utrecht, Netherlands| doi =10.1016/0031-8914(48)90032-9 |bibcode = 1948Phy....14..139D }}

Compressibility factor at the critical point

See also

References

External links