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.
The principle originated with the work of Johannes Diderik van der Waals in about 1873[3] when he used the critical temperature and critical pressure to derive a universal property of all fluids that follow the van der Waals equation of state. It predicts a value of that is found to be an overestimate when compared to real gases.
Edward A. Guggenheim used the phrase "Principle of Corresponding States" in an opt-cited paper to describe the phenomenon where different systems have very similar behaviors when near a critical point.[4]
There are many examples of non-ideal gas models which satisfy this theorem, such as the van der Waals model, the Dieterici model, and so on, that can be found on the page on real gases.
^Tester, Jefferson W. & Modell, Michael (1997). Thermodynamics and its applications. Prentice Hall. ISBN 0-13-915356-X.
^Çengel Y.A.; Boles M.A. (2007). Thermodynamics: An Engineering Approach (Sixth ed.). McGraw Hill. ISBN 9780071257718. page 141
^A Four-Parameter Corresponding States Correlation for Fluid Compressibility Factors Archived 2007-03-17 at the Wayback Machine by Walter M. Kalback and Kenneth E. Starling, Chemical Engineering Department, University of Oklahoma.
^Guggenheim, E. A. (1945-07-01). "The Principle of Corresponding States". The Journal of Chemical Physics. 13 (7): 253–261. doi:10.1063/1.1724033. ISSN 0021-9606.
and 17 Related for: Theorem of corresponding states information
the simplest form of the theoremofcorrespondingstates. Reduced properties are also used to define the Peng–Robinson equation of state, a model designed...
fundamental theoremof algebra, applied to the characteristic polynomial of A, there is at least one complex eigenvalue λ1 and corresponding eigenvector...
modularity theorem (formerly called the Taniyama–Shimura conjecture, Taniyama-Shimura-Weil conjecture or modularity conjecture for elliptic curves) states that...
fundamental concept of Lorentz's theory in 1895 was the "theoremofcorrespondingstates" for terms of order v/c. This theoremstates that a moving observer...
Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the...
convolution theoremstates that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the pointwise product of their...
gas Theoremofcorrespondingstates Van der Waals equation Properties of Natural Gases Archived 2011-02-06 at the Wayback Machine. Includes a chart of compressibility...
The fundamental theoremof calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each...
{Z-1}{P}}\right)dP.} This is useful because of the theoremofcorrespondingstates: If the pressure and temperature at the critical point of the gas are Pc and Tc, we can...
subset specifies the positions of the y in a corresponding string. Induction yields another proof of the binomial theorem. When n = 0, both sides equal...
calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field through a...
In calculus, the extreme value theoremstates that if a real-valued function f {\displaystyle f} is continuous on the closed and bounded interval [ a ...
Maxwell construction Real gas Theoremofcorrespondingstates Van der Waals constants (data page) Redlich–Kwong equation of state van der Waals, J.D., Edited...
hyperboloid, generalizing the major and minor axes of an ellipse or hyperbola. The principal axis theoremstates that the principal axes are perpendicular, and...
speed of light. A fundamental concept of Lorentz's theory in 1895 was the "theoremofcorrespondingstates" for terms of order v/c. This theoremstates that...
Global Information
