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Kelvin equation
The Kelvin equation describes the change in vapour pressure due to a curved liquid–vapor interface, such as the surface of a droplet. The vapor pressure at a convex surface is higher than that at a flat surface. The Kelvin equation is dependent upon thermodynamic principles and does not allude to special properties of materials. It is also used for determination of pore size distribution of a porous medium using adsorption porosimetry. The equation is named in honor of William Thomson, also known as Lord Kelvin.
Ostwald–Freundlich equationThe Ostwald–Freundlich equation governs boundaries between two phases; specifically, it relates the surface tension of the boundary to its curvature, the ambient temperature, and the vapor pressure or chemical potential in the two phases.
Vapor pressureVapor pressure or equilibrium vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensedphases (solid or liquid) at a given temperature in a closed system. The equilibrium vapor pressure is an indication of a liquid's thermodynamic tendency to evaporate. It relates to the balance of particles escaping from the liquid (or solid) in equilibrium with those in a coexisting vapor phase.
BET theoryBrunauer–Emmett–Teller (BET) theory aims to explain the physical adsorption of gasmolecules on a solidsurface and serves as the basis for an important analysis technique for the measurement of the specific surface area of materials. The observations are very often referred to as physical adsorption or physisorption. In 1938, Stephen Brunauer, Paul Hugh Emmett, and Edward Teller presented their theory in the Journal of the American Chemical Society.
EquationIn mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign=. The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables while an égalité does not require variables, but in English, any well-formed formula consisting of two expressions related with an equals sign is an equation.
SurfaceA surface, as the term is most generally used, is the outermost or uppermost layer of a physical object. It is the portion or region of the object that can first be observed and with which other objects first interact. The concept of surface has been abstracted and formalized in mathematics, specifically in geometry.PorosimetryPorosimetry is an analytical technique used to determine various quantifiable aspects of a material's porous structure, such as pore diameter, total pore volume, surface area, and bulk and absolute densities. The technique involves the intrusion of a non-wetting liquid (often mercury) at high pressure into a material through the use of a porosimeter.
Drop (liquid)A drop or droplet is a small column of liquid, bounded completely or almost completely by free surfaces. A drop may form when liquid accumulates at the end of a tube or other surface boundary, producing a hanging drop called a pendant drop. Drops may also be formed by the condensation of a vapor or by atomization of a larger mass of solid. Water vapor will condense into droplets depending on the temperature. The temperature at which droplets form is called the dew point.
Porous mediumIn materials science, a porous medium or a porous material is a material containing pores (voids). The skeletal portion of the material is often called the "matrix" or "frame". The pores are typically filled with a fluid (liquid or gas). The skeletal material is usually a solid, but structures like foams are often also usefully analyzed using concept of porous media. A porous medium is most often characterised by its porosity.
Lord KelvinBritish physicist, engineer and mathematician (1824–1907)William Thomson, 1st Baron Kelvin (26 June 1824 – 17 December 1907) was a British mathematician, mathematical physicist and engineer. Born in Belfast, he was the professor of Natural Philosophy at the University of Glasgow for 53 years. There he undertook significant research on the mathematical analysis of electricity, and was instrumental in the formulation of the first and second laws of thermodynamics.
Convex functionConvex function on an intervalReal function with secant line between points above the graph itselfA function (in black) is convex if and only if the region above its graph (in green) is a convex set.A graph of the bivariate convex function x + xy + yConvex vs. not convexIn mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above or on the graph of the function between the two points.
Euclidean planes in three-dimensional spaceIn Euclidean geometry, a plane is a flat two-dimensionalsurface that extends indefinitely. Euclidean planes often arise as subspaces of three-dimensional spaceR3{\displaystyle \mathbb {R} ^{3}}. A prototypical example is one of a room's walls, infinitely extended and assumed infinitesimally thin.
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