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thermodynamic equation relating state variables in thermodynamic equilibrium which describe the state of matter under a given set of physical conditions, such as  pressure 

LaTeX Math Inline
bodyp
, density 
LaTeX Math Inline
body\rho
 (or  compressibility factor 
LaTeX Math Inline
bodyZ
)
temperature 
LaTeX Math Inline
bodyT
 or 
internal energy 
LaTeX Math Inline
bodyU
 and chemical structure.

The most general form is:

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anchorEOS
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f(p, T, V_m) = 0

where

LaTeX Math Inline
bodyT

temperature

LaTeX Math Inline
bodyp

pressure

LaTeX Math Inline
bodyV_m

molar volume


Alternative forms
It usually takes following forms:

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LaTeX Math Block
anchorrho
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\rho = \rho (p,T)
LaTeX Math Block
anchorDFWOI
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Z = Z(p,T)
LaTeX Math Block
anchorWL0L5
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p = p(\rho,T)


See also

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Natural Science / Physics / Thermodynamics

State of matter ] [ PVT

[ Ideal Gas EOS @model ] [ Real Gas EOS @model ]PVT Petroleum Fluid EOS @model ]


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References


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[pdf] Ibrahim Ashour et al, Applications of Equations of State in the Oil and Gas Industry, 2011, www.intechopen.com