Maxwell's Relations of Thermodynamic Functions

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SUMMARY

Maxwell's Relations are essential equations in thermodynamics that relate different thermodynamic properties. The specific relations discussed include \(\left(\frac{\partial s}{\partial v}\right)_{T} = \left(\frac{\partial p}{\partial T}\right)_{v}\) and \(\left(\frac{\partial s}{\partial p}\right)_{T} = -\left(\frac{\partial v}{\partial T}\right)_{p}\). These relations are derived from thermodynamic potentials, which are indeed also referred to as thermodynamic functions. Understanding these concepts is crucial for anyone studying thermodynamics.

PREREQUISITES
  • Understanding of thermodynamic potentials
  • Familiarity with partial derivatives in thermodynamics
  • Knowledge of the laws of thermodynamics
  • Basic grasp of thermodynamic properties such as entropy, pressure, and volume
NEXT STEPS
  • Study the derivation of Maxwell's Relations from thermodynamic potentials
  • Explore the implications of Maxwell's Relations in real-world thermodynamic systems
  • Learn about the different types of thermodynamic potentials, including Helmholtz and Gibbs free energy
  • Investigate applications of Maxwell's Relations in engineering and physical sciences
USEFUL FOR

Students and professionals in physics and engineering, particularly those focusing on thermodynamics, will benefit from this discussion. It is also valuable for researchers looking to clarify the relationships between thermodynamic properties.

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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