Compressibility under isothermal (constant temperature $\begin{array}{l}T = \rm const\end{array}$ ) compression/decompression thermodynamic process:

(1)	$\begin{array}{l}\displaystyle c_T = \frac{1}{\rho} \left( \frac{\partial \rho}{\partial p} \right)_T = - \frac{1}{V_m} \left( \frac{\partial V_m}{\partial p} \right)_T\end{array}$

(2)	$\begin{array}{l}\displaystyle \beta_T = \frac{1}{K_T}\end{array}$

Page tree

See also