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    • 1.8: Thermodynamics
      https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/zz%3A_Back_Matter/10%3A_13.1%3A_Appendix_J-_Physics_Formulas_(Wevers)/1.08%3A_Thermodynamics
      Classical thermodynamics and its statistical basis
    • 8: Thermodynamics
      https://phys.libretexts.org/Learning_Objects/A_Physics_Formulary/Physics/08%3A_Thermodynamics
      Classical thermodynamics and its statistical basis
    • 6.1: Maxwell Relations
      https://phys.libretexts.org/Bookshelves/Thermodynamics_and_Statistical_Mechanics/Thermodynamics_and_Statistical_Mechanics_(Nair)/06%3A_Thermodynamic_Relations_and_Processes/6.01%3A_Maxwell_Relations
      This page shows the derivation of the four Maxwell relations from the basic relations given for a system with one constituent with a fixed number of particles, from equation 5.1.10, the first law, and...This page shows the derivation of the four Maxwell relations from the basic relations given for a system with one constituent with a fixed number of particles, from equation 5.1.10, the first law, and the second law.
    • 2.8: Maxwell Relations
      https://phys.libretexts.org/Bookshelves/Thermodynamics_and_Statistical_Mechanics/Book%3A_Thermodynamics_and_Statistical_Mechanics_(Arovas)/02%3A_Thermodynamics/2.08%3A_Maxwell_Relations
      In general, we have \[\begin{aligned} \hbox{\tt THIS}&\hbox{\tt\ SPACE AVAILABLE}& dE&=T\,dS + y\,dX + \mu\,dN \vph\\ F&=E-TS & dF &= -S\,dT+ y\,dX + \mu\,dN \vph\\ \CH&=E-yX & d\CH &= T\,dS - X\,dy +...In general, we have \tt THIS\tt\ SPACE AVAILABLEdE=TdS+ydX+μdN\vphF=E−TSdF=−SdT+ydX+μdN\vph\CH=E−yXd\CH=TdS−Xdy+μdN\vphG=E−TS−yXdG=−SdT−Xdy+μdN\vphΩ=E−TS−μNdΩ=−SdT+ydX−Ndμ . Generalizing (−p,V)→(y,X), we also obtain, mutatis mutandis, the following Maxwell relations: \[\begin{aligned} \pabc{T}{X}{S,N}&=\pabc{y}{S}{…
    • 12.5: Summary, the Maxwell Relations, and the Gibbs-Helmholtz Relations
      https://phys.libretexts.org/Bookshelves/Thermodynamics_and_Statistical_Mechanics/Heat_and_Thermodynamics_(Tatum)/12%3A_Free_Energy/12.05%3A_Summary_the_Maxwell_Relations_and_the_Gibbs-Helmholtz_Relations
      (∂U∂S)V=T(∂U∂V)S=−P \[\left(\frac{\partial H}{\partial S}\right)_{P}=T \quad\left(\frac{\partial H}{\partial P}\...(∂U∂S)V=T(∂U∂V)S=−P (∂H∂S)P=T(∂H∂P)S=V (∂A∂T)V=−S(∂A∂V)T=−P (∂G∂T)P=−S(∂G∂P)T=V

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