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27 relations: Activity coefficient, Chemical potential, Darken's equations, Differential of a function, Entropy, Gibbs free energy, Homogeneous function, Intensive and extensive properties, Isobaric process, Isothermal process, Josiah Willard Gibbs, L'Hôpital's rule, Lawrence Stamper Darken, Legendre transformation, Margules activity model, Mole (unit), Partial molar property, Phase rule, Pierre Duhem, Pressure, Ternary plot, Thermodynamic state, Thermodynamic system, Thermodynamic temperature, Thermodynamics, Vapor pressure, Volume.
Activity coefficient
An activity coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.
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Chemical potential
In thermodynamics, chemical potential of a species is a form of energy that can be absorbed or released during a chemical reaction or phase transition due to a change of the particle number of the given species.
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Darken's equations
In 1948, Lawrence Stamper Darken published an article entitled "Diffusion, Mobility and Their Interrelation through Free Energy in Binary Metallic Systems", in which he derived two equations describing solid-state diffusion in binary solutions.
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Differential of a function
In calculus, the differential represents the principal part of the change in a function y.
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Entropy
In statistical mechanics, entropy is an extensive property of a thermodynamic system.
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Gibbs free energy
In thermodynamics, the Gibbs free energy (IUPAC recommended name: Gibbs energy or Gibbs function; also known as free enthalpy to distinguish it from Helmholtz free energy) is a thermodynamic potential that can be used to calculate the maximum of reversible work that may be performed by a thermodynamic system at a constant temperature and pressure (isothermal, isobaric).
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Homogeneous function
In mathematics, a homogeneous function is one with multiplicative scaling behaviour: if all its arguments are multiplied by a factor, then its value is multiplied by some power of this factor.
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Intensive and extensive properties
Physical properties of materials and systems can often be categorized as being either intensive or extensive quantities, according to how the property changes when the size (or extent) of the system changes.
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Isobaric process
An isobaric process is a thermodynamic process in which the pressure stays constant: ΔP.
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Isothermal process
An isothermal process is a change of a system, in which the temperature remains constant: ΔT.
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Josiah Willard Gibbs
Josiah Willard Gibbs (February 11, 1839 – April 28, 1903) was an American scientist who made important theoretical contributions to physics, chemistry, and mathematics.
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L'Hôpital's rule
In mathematics, and more specifically in calculus, L'Hôpital's rule or L'Hospital's rule uses derivatives to help evaluate limits involving indeterminate forms.
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Lawrence Stamper Darken
Lawrence Stamper Darken (18 Sept. 1909, Brooklyn NY – 7 June 1978, State College PA) was a physical chemist and metallurgist, known for his two equations describing solid-state diffusion in binary solutions.
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Legendre transformation
In mathematics and physics, the Legendre transformation, named after Adrien-Marie Legendre, is an involutive transformation on the real-valued convex functions of one real variable.
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Margules activity model
The Margules activity model is a simple thermodynamic model for the excess Gibbs free energy of a liquid mixture introduced in 1895 by Max Margules.
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Mole (unit)
The mole, symbol mol, is the SI unit of amount of substance.
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Partial molar property
A partial molar property is a thermodynamic quantity which indicates how an extensive property of a solution or mixture varies with changes in the molar composition of the mixture at constant temperature and pressure.
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Phase rule
Gibbs' phase rule Chapter 6 was proposed by Josiah Willard Gibbs in his landmark paper titled On the Equilibrium of Heterogeneous Substances, published from 1875 to 1878.
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Pierre Duhem
Pierre Maurice Marie Duhem (9 June 1861 – 14 September 1916) was a French physicist, mathematician, historian and philosopher of science.
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Pressure
Pressure (symbol: p or P) is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
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Ternary plot
A ternary plot, ternary graph, triangle plot, simplex plot, Gibbs triangle or de Finetti diagram is a barycentric plot on three variables which sum to a constant.
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Thermodynamic state
For thermodynamics, a thermodynamic state of a system is its condition at a specific time, that is fully identified by values of a suitable set of parameters known as state variables, state parameters or thermodynamic variables.
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Thermodynamic system
A thermodynamic system is the material and radiative content of a macroscopic volume in space, that can be adequately described by thermodynamic state variables such as temperature, entropy, internal energy, and pressure.
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Thermodynamic temperature
Thermodynamic temperature is the absolute measure of temperature and is one of the principal parameters of thermodynamics.
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Thermodynamics
Thermodynamics is the branch of physics concerned with heat and temperature and their relation to energy and work.
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Vapor pressure
Vapor pressure or equilibrium vapor pressure is defined as the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases (solid or liquid) at a given temperature in a closed system.
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Volume
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.
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References
[1] https://en.wikipedia.org/wiki/Gibbs–Duhem_equation
