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Compressibility under isentropic   (constant entropy 

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

LaTeX Math Block
anchor1
alignmentleft
c = \frac{1}{\rho} \left( \frac{\partial \rho}{\partial p} \right)_TS = - \frac{1}{V_m} \left( \frac{\partial V_m}{\partial p} \right)_TS

See also

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Physics / Mechanics / Continuum mechanics /  Continuum body / Compressibility