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Compressibility under isentropic (constant entropy 

LaTeX Math Inline
bodyS = \rm const
): compression/decompression thermodynamic process :

LaTeX Math Block
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c_S = \frac{1}{\rho} \left( \frac{\partial \rho}{\partial p} \right)_S = - \frac{1}{V_m} \left( \frac{\partial V_m}{\partial p} \right)_S

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