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fluid phases (

LaTeX Math Inline
body\alpha = \{1...m\}
) sharing the same volume under pressure 
LaTeX Math Inline
bodyp
 and temperature 
LaTeX Math Inline
bodyT
 


then in thermodynamic equilibrium the total mass of C-component will decompose into a sum of fluid components:

LaTeX Math Block
anchormC
alignmentleft
m_C = \sum_\alpha m_{C \alpha}  (p,T) 

where where

LaTeX Math Inline
bodym_{C \alpha} (p,T)

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mass

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of C-component in 

LaTeX Math Inline
body\alpha
-phase as a function of pressure 
LaTeX Math Inline
bodyp
 and temperature 
LaTeX Math Inline
bodyT


This may alternatively rearranaged as:

LaTeX Math Block
anchor63DRG
alignmentleft
m_C = \sum_\alpha R_{C \alpha}  (p,T) m_\alpha(p, T) 

where

LaTeX Math Inline
bodyR_{C \alpha} (p,T)

cross-phase exchange coefficient of C-component in 

LaTeX Math Inline
body\alpha
-phase as a function of pressure 
LaTeX Math Inline
bodyp
 and temperature 
LaTeX Math Inline
bodyT

...

LaTeX Math Inline
bodym_\alpha(p, T)

total mass of 

LaTeX Math Inline
body\alpha
-phase as a function of pressure 
LaTeX Math Inline
bodyp
 and temperature



See Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Fluid (PVT) Analysis

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