changes.mady.by.user Arthur Aslanyan (Nafta College)
Saved on Jan 10, 2021
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\rho = \frac{m}{V} = \frac{1}{V} \, \sum_\alpha m_\alpha}{V} = \sum_\alpha \frac{m_\alpha}{V}= \sum_\alpha \frac{V_\alpha}{V} \cdot \frac{m_\alpha}{V_\alpha} = \sum_\alpha s_\alpha \, \rho_\alpha
c = \sum_\alpha s_\alpha \, c_\alpha
where
fluid compressibility of
volumetric share of
c = \frac{1}{V} \, \frac{\partial V}{\partial p} = \frac{1}{V} \sum_\alpha \frac{\partial V_\alpha}{\partial p} = \sum_\alpha \frac{V_\alpha}{V} \, \frac{1}{V_\alpha} \frac{\partial V_\alpha}{\partial p} = \sum_\alpha s_\alpha \, c_\alpha