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{{Thermodynamics|cTopic=[[List of thermodynamic properties|System properties]]}}
According to van der Waals, the '''theorem of corresponding states''' (or '''principle of corresponding states''') indicates that all [[fluid]]s, 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.<ref>{{cite book |author=Tester, Jefferson W. and Modell, Michael |title=Thermodynamics and its applications |publisher=Prentice Hall |year=1997 |isbn=0-13-915356-X}}</ref><ref>{{cite book|author=Çengel Y.A., Boles M.A.|title=Thermodynamics: An Engineering Approach|edition=Sixth Edition|publisher=McGraw Hill|year= 2007|isbn=9780071257718}} page 141</ref>
 
[[Material constant]]s 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<ref>[http://digital.library.okstate.edu/oas/oas_pdf/v56/p125_132.pdf ''A Four-Parameter Corresponding States Correlation for Fluid Compressibility Factors''] by Walter M. Kalback and Kenneth E. Starling, Chemical Engineering Department, [[University of Oklahoma]].</ref> 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 <math>Z_c=\frac{p_c}{n_c k_B T_c}</math>, where the subscript <math>c</math> indicates the [[Critical point (thermodynamics)|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 <math>3/8 = 0.375</math>.
 
{| class="wikitable sortable" border="1"
|-
! Substance
! Value
|-
| [[Properties of water|H<sub>2</sub>O]]
| 0.23<ref name="Goodstein">{{cite book|last=Goodstein|first=David|title=States of Matter|edition=1st|origyear=1975|year=1985|publisher=[[General Publishing Company, Ltd.]]|location=[[Toronto]], [[Canada]]|isbn=0-486-64927-X|page=452|chapter=6|trans_chapter=Critical Phenomena and Phase Transitions}}</ref>
|-
| [[Helium-4|<sup>4</sup>He]]
| 0.31<ref name="Goodstein"/>
|-
|[[Helium|He]]
| 0.30<ref name="Boer">{{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 (journal)|Physica]]| volume      = 14| pages      = 139–148| publisher  = [[Elsevier]]| location   = [[Utrecht (city)|Utrecht]], [[Netherlands]]| doi        =10.1016/0031-8914(48)90032-9 | accessdate  = 2009-12-08|bibcode = 1948Phy....14..139D }}</ref>
|-
|[[Hydrogen|H<sub>2</sub>]]
|0.30<ref name="Boer"/>
|-
|[[Neon|Ne]]
|0.29<ref name="Boer"/>
|-
|[[Nitrogen|N<sub>2</sub>]]
|0.29<ref name="Boer"/>
|-
|[[Argon|Ar]]
|0.29<ref name="Boer"/>
|}
 
==See also==
*[[Van der Waals equation]]
*[[Equation of state]]s
*[[Compressibility factor]]s
*[[Johannes Diderik van der Waals]]
*[[Noro-Frenkel law of corresponding states]]
 
==References==
{{reflist}}
 
==External links==
* [http://iptibm1.ipt.ntnu.no/~jsg/undervisning/naturgass/parlaktuna/Chap3.pdf Properties of Natural Gases]. Includes a chart of compressibility factors versus reduced pressure and reduced temperature (on last page of the PDF document)
*[http://www.sklogwiki.org/SklogWiki/index.php/Law_of_corresponding_states Theorem of corresponding states] on [http://www.sklogwiki.org/ SklogWiki].
 
<br>
 
[[Category:Thermodynamics]]
[[Category:Chemical engineering]]
[[Category:Continuum mechanics]]
 
{{thermodynamics-stub}}

Revision as of 14:34, 11 May 2013

The writer is called Wilber Pegues. Distributing manufacturing is how he makes a living. Mississippi is the only place I've been residing in but I will have to move in a year or two. To climb is some thing she would never give up.

my web-site; cheap psychic readings [netwk.hannam.ac.kr] According to van der Waals, the theorem of corresponding states (or principle 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 .

Substance Value
H2O 0.23[4]
4He 0.31[4]
He 0.30[5]
H2 0.30[5]
Ne 0.29[5]
N2 0.29[5]
Ar 0.29[5]

See also

References

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

External links


Template:Thermodynamics-stub

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  3. A Four-Parameter Corresponding States Correlation for Fluid Compressibility Factors by Walter M. Kalback and Kenneth E. Starling, Chemical Engineering Department, University of Oklahoma.
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