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  2. Gibbs–Duhem equation - Wikipedia

    en.wikipedia.org/wiki/GibbsDuhem_equation

    By normalizing the above equation by the extent of a system, such as the total number of moles, the GibbsDuhem equation provides a relationship between the intensive variables of the system. For a simple system with I {\displaystyle I} different components, there will be I + 1 {\displaystyle I+1} independent parameters or "degrees of freedom".

  3. Thermodynamic potential - Wikipedia

    en.wikipedia.org/wiki/Thermodynamic_potential

    Which is the GibbsDuhem relation. The GibbsDuhem is a relationship among the intensive parameters of the system. It follows that for a simple system with I components, there will be I + 1 independent parameters, or degrees of freedom. For example, a simple system with a single component will have two degrees of freedom, and may be ...

  4. Category:Thermodynamic equations - Wikipedia

    en.wikipedia.org/wiki/Category:Thermodynamic...

    GibbsDuhem equation; Gibbs–Helmholtz equation; Gibbs–Thomson equation; Green–Kubo relations; K. Kirkwood–Buff solution theory; M. Mason equation;

  5. Chemical potential - Wikipedia

    en.wikipedia.org/wiki/Chemical_potential

    Chemical potentials can be used to explain the slopes of lines on a phase diagram by using the Clapeyron equation, which in turn can be derived from the GibbsDuhem equation. [9] They are used to explain colligative properties such as melting-point depression by the application of pressure. [ 10 ]

  6. Thermodynamic square - Wikipedia

    en.wikipedia.org/wiki/Thermodynamic_square

    G = Gibbs free energy p = Pressure H = Enthalpy S = Entropy U = Internal energy V = Volume F = Helmholtz free energy T = Temperature. The thermodynamic square (also known as the thermodynamic wheel, Guggenheim scheme or Born square) is a mnemonic diagram attributed to Max Born and used to help determine thermodynamic relations.

  7. Thermodynamic equations - Wikipedia

    en.wikipedia.org/wiki/Thermodynamic_equations

    Only one equation of state will not be sufficient to reconstitute the fundamental equation. All equations of state will be needed to fully characterize the thermodynamic system. Note that what is commonly called "the equation of state" is just the "mechanical" equation of state involving the Helmholtz potential and the volume:

  8. Chemical thermodynamics - Wikipedia

    en.wikipedia.org/wiki/Chemical_thermodynamics

    In solution chemistry and biochemistry, the Gibbs free energy decrease (∂G/∂ξ, in molar units, denoted cryptically by ΔG) is commonly used as a surrogate for (−T times) the global entropy produced by spontaneous chemical reactions in situations where no work is being done; or at least no "useful" work; i.e., other than perhaps ± P dV.

  9. Phase rule - Wikipedia

    en.wikipedia.org/wiki/Phase_rule

    In thermodynamics, the phase rule is a general principle governing multi-component, multi-phase systems in thermodynamic equilibrium.For a system without chemical reactions, it relates the number of freely varying intensive properties (F) to the number of components (C), the number of phases (P), and number of ways of performing work on the system (N): [1] [2] [3]: 123–125