Maxwell's relations

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\left. \frac{\partial S}{\partial V} \right\vert_T  =  \left. \frac{\partial p}{\partial T} \right\vert_V


\left. \frac{\partial T}{\partial p} \right\vert_S  =  \left. \frac{\partial V}{\partial S} \right\vert_p


\left. \frac{\partial S}{\partial p} \right\vert_T =  - \left. \frac{\partial V}{\partial T} \right\vert_p


\left. \frac{\partial T}{\partial V} \right\vert_S  =  - \left. \frac{\partial p}{\partial S} \right\vert_V


where S is the entropy, V is the volume, T is the temperature, p is the pressure

See also[edit]