Maxwell's Relations of Thermodynamic Functions

AI Thread Summary
Maxwell's Relations are indeed expressed as the derivatives of thermodynamic functions, specifically relating entropy, volume, pressure, and temperature. The two relations provided are correct, but they are not exhaustive; there are additional Maxwell's Relations derived from different thermodynamic potentials. Thermodynamic potentials, such as Helmholtz and Gibbs free energy, are often referred to as thermodynamic functions. Clarification on terminology is important, as different texts may use varying notations that can cause confusion. Understanding these relationships is crucial for mastering thermodynamics.
jhosamelly
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The following are Maxwell's Relations right?

\left(\frac{\partial s}{\partial v}\right)_{T} = \left(\frac{\partial p}{\partial T}\right)_{v}

\left(\frac{\partial s}{\partial p}\right)_{T} = - \left(\frac{\partial v}{\partial T}\right)_{p}

Are these all? And BTW, these are derived from the thermodynamic POTENTIALS. Are thermodynamic POTENTIALS also called thermodynamic FUNCTIONS? Sorry for this dumb question. I just want to be sure. I'm reviewing and all the different notations from different books are really mixing up in my head.
 
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