Oil-Gas exchange

Given a mixture of oil and gas under pressure  $//<![CDATA[ \begin{array}{l}p\end{array} //]]>$ and temperature  $//<![CDATA[ \begin{array}{l}T\end{array} //]]>$ with

a total mass of oil component $//<![CDATA[ \begin{array}{l}m_O = m_{Oo}(p,T) + m_{Og}(p,T)\end{array} //]]>$

total mass of gas component $//<![CDATA[ \begin{array}{l}m_G = m_{Gg}(p,T) + m_{Go}(p,T)\end{array} //]]>$

then

the mass share of oil component in oil phase  $//<![CDATA[ \begin{array}{l}m_{Oo}(p,T)\end{array} //]]>$ 

the mass share of gas component in gas phase  $//<![CDATA[ \begin{array}{l}m_{Og}(p,T)\end{array} //]]>$

the mass share of gas component in oil phase  $//<![CDATA[ \begin{array}{l}m_{Go}(p,T)\end{array} //]]>$ 

mass share of gas component in gas phase  $//<![CDATA[ \begin{array}{l}m_{Gg}(p,T)\end{array} //]]>$

are all functions of pressure  $//<![CDATA[ \begin{array}{l}p\end{array} //]]>$ and temperature  $//<![CDATA[ \begin{array}{l}T\end{array} //]]>$.