changes.mady.by.user Arthur Aslanyan (Nafta College)
Saved on Jul 29, 2018
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V_f = V_w \, s_w + V_o \, s_o + V_g \, s_g
where
s_w = \frac{V_w}{V_f}, \ s_o = \frac{V_o}{V_f}, \ s_g = \frac{V_g}{V_f}
c_f = \frac{1}{V_f} \, \frac{\partial V_f}{\partial p} = \frac{1}{V_f} \, \frac{\partial V_w}{\partial p} + \frac{1}{V_f}\, \frac{\partial V_o}{\partial p} + \frac{1}{V_f}\, \frac{\partial V_g}{\partial p}
c_f = \frac{V_w}{V_f} \, \left( \frac{1}{V_w} \, \frac{\partial V_w}{\partial p} \right) + \frac{V_o}{V_f} \, \left( \frac{1}{V_o} \, \frac{\partial V_o}{\partial p} \right) + \frac{V_g}{V_f} \frac{1}{V_g} \frac{V_g}{p}
c_f = \frac{V_w}{V_f}, \left( \frac{1}{V_wg} \frac{V_w}{p} + \frac{V_o}{V_f}\, \frac{1}{V_o} \frac{V_o}{p} + \frac{\partial V_g}{V_f} \frac{1}{V_g} \frac{V_g}{p}\partial p} \right)
which leads to
