Oil-Gas exchange

Given a mixture of oil gas with

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

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

then

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

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