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Critical Point (thermodynamics)
In thermodynamics, a critical point (or critical state) is the end point of a phase equilibrium curve. The most prominent example is the liquid–vapor critical point, the end point of the pressure–temperature curve that designates conditions under which a liquid and its vapor can coexist. At higher temperatures, the gas cannot be liquefied by pressure alone. At the critical point, defined by a ''critical temperature'' ''T''c and a ''critical pressure'' ''p''c, phase boundaries vanish. Other examples include the liquid–liquid critical points in mixtures, and the ferromagnet–paramagnet transition (Curie temperature) in the absence of an external magnetic field. Liquid–vapor critical point Overview For simplicity and clarity, the generic notion of ''critical point'' is best introduced by discussing a specific example, the vapor–liquid critical point. This was the first critical point to be discovered, and it is still the best known and most studied one. The figu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theorem Of Corresponding States
According to van der Waals, the theorem of corresponding states (or principle/law of corresponding states) indicates that all fluids, when compared at the same reduced temperature and reduced pressure, have approximately the same compressibility factor and all deviate from ideal gas behavior to about the same degree. Material constants that vary for each type of material are eliminated, in a recast reduced form of a constitutive equation. The reduced variables are defined in terms of critical variables. The principle originated with the work of Johannes Diderik van der Waals in about 1873 by Walter M. Kalback and Kenneth E. Starling, Chemical Engineering Department, |
PV Diagram
PV may refer to: Places * Paceville, Malta * Puerto Vallarta, Mexico * Postal village, a settlement that has a post office United States * Palos Verdes Peninsula, California * Prescott Valley, Arizona * Prairie Village, Kansas Politics * Partido Verde (other), several political parties * Peoples Voice, a political party in Singapore * Preferential voting (other), a category of electoral systems Science and technology * Photovoltaics, a technology for converting sunlight into electricity * Potential vorticity, in fluid dynamics * Presta valve, one of the two common tire valves * Process variable, in control systems * Programmed visibility, of traffic signals Biology and medicine * Parvalbumin, a calcium-binding albumin protein * Pathovar, a bacterial strain or set of strains with the same or similar characteristics * Pemphigus vulgaris, a chronic blistering skin disease * ''Per vaginam'', through/via the vagina * Periventricular nucleus, of the hypothalamus ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scaling Law
In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a proportional relative change in the other quantity, independent of the initial size of those quantities: one quantity varies as a power of another. For instance, considering the area of a square in terms of the length of its side, if the length is doubled, the area is multiplied by a factor of four. Empirical examples The distributions of a wide variety of physical, biological, and man-made phenomena approximately follow a power law over a wide range of magnitudes: these include the sizes of craters on the moon and of solar flares, the foraging pattern of various species, the sizes of activity patterns of neuronal populations, the frequencies of words in most languages, frequencies of family names, the species richness in clades of organisms, the sizes of power outages, volcanic eruptions, human judgments of stimulus intensity and many other quantit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mean-field Theory
In physics and probability theory, Mean-field theory (MFT) or Self-consistent field theory studies the behavior of high-dimensional random (stochastic) models by studying a simpler model that approximates the original by averaging over degrees of freedom (the number of values in the final calculation of a statistic that are free to vary). Such models consider many individual components that interact with each other. The main idea of MFT is to replace all interactions to any one body with an average or effective interaction, sometimes called a ''molecular field''. This reduces any many-body problem into an effective one-body problem. The ease of solving MFT problems means that some insight into the behavior of the system can be obtained at a lower computational cost. MFT has since been applied to a wide range of fields outside of physics, including statistical inference, graphical models, neuroscience, artificial intelligence, epidemic models, queueing theory, computer-network p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Van Der Waals Equation
In chemistry and thermodynamics, the Van der Waals equation (or Van der Waals equation of state) is an equation of state which extends the ideal gas law to include the effects of interaction between molecules of a gas, as well as accounting for the finite size of the molecules. The ideal gas law treats gas molecules as point particles that interact with their containers but not each other, meaning they neither take up space nor change kinetic energy during collisions (i.e. all collisions are perfectly elastic). The ideal gas law states that the volume ''V'' occupied by ''n'' moles of any gas has a pressure ''P'' at temperature ''T'' given by the following relationship, where ''R'' is the gas constant: :PV=nRT To account for the volume occupied by real gas molecules, the Van der Waals equation replaces V/n in the ideal gas law with (V_m-b), where ''Vm'' is the molar volume of the gas and ''b'' is the volume occupied by the molecules of one mole: :P(V_m - b)=R T The second m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thomas Andrews (scientist)
Thomas Andrews FRS FRSE (19 December 181326 November 1885) was an Irish chemist and physicist who did important work on phase transitions between gases and liquids. He was a longtime professor of chemistry at Queen's University of Belfast. Life Andrews was born in Belfast, Ireland, where his father was a linen merchant. He attended the Belfast Academy and the Royal Belfast Academical Institution, where at the latter of which he studied mathematics under James Thomson. In 1828 he went to the University of Glasgow to study chemistry under Professor Thomas Thomson, then studied at Trinity College, Dublin, where he gained distinction in classics as well as in science. Finally, at University of Edinburgh in 1835, he was awarded a doctorate in medicine. Andrews began a successful medical practice in his native Belfast in 1835, also giving instruction in chemistry at the Academical Institution. In 1845 he was appointed vice-president of the newly established Queen's University of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dmitri Mendeleev
Dmitri Ivanovich Mendeleev (sometimes transliterated as Mendeleyev or Mendeleef) ( ; russian: links=no, Дмитрий Иванович Менделеев, tr. , ; 8 February Old_Style_and_New_Style_dates">O.S._27_January.html" ;"title="Old_Style_and_New_Style_dates.html" ;"title="nowiki/> O.S._27_January">Old_Style_and_New_Style_dates.html"_;"title="nowiki/>Old_Style_and_New_Style_dates">O.S._27_January18342_February_[O.S._20_January.html" ;"title="Old Style and New Style dates">O.S. 27 January">Old_Style_and_New_Style_dates.html" ;"title="nowiki/>Old Style and New Style dates">O.S. 27 January18342 February [O.S. 20 January">Old Style and New Style dates">O.S. 27 January">Old_Style_and_New_Style_dates.html" ;"title="nowiki/>Old Style and New Style dates">O.S. 27 January18342 February [O.S. 20 January1907) was a Russian chemist and inventor. He is best known for formulating the Periodic Law and creating a version of the periodic table, periodic table of elements. He used th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charles Cagniard De La Tour
Baron Charles Cagniard de la Tour (31 March 1777 – 5 July 1859) was a French engineer and physicist. Charles Cagniard was born in Paris, and after attending the École Polytechnique became one of the ''ingénieurs géographiques''. He examined the mechanism of voice-production, invented a blowing machine and contributed to acoustics by inventing an improved siren. He also studied yeast. In 1822, he discovered the critical point of a substance in his gun barrel experiments. Listening to discontinuities in the sound of a rolling flint ball in a sealed gun barrel filled with fluids at various temperatures, he observed the critical temperature. Above this temperature, the densities of the liquid and gas phases become equal and the distinction between them disappears, resulting in a single supercritical fluid phase. He was made a baron in 1818, and died in Paris. Despite several claims to the contrary, no portraits of Baron Cagniard de la Tour exist. Research He was the author o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Critical Carbon Dioxide
Supercritical carbon dioxide (s) is a fluid state of carbon dioxide where it is held at or above its critical temperature and critical pressure. Carbon dioxide usually behaves as a gas in air at standard temperature and pressure (STP), or as a solid called dry ice when cooled and/or pressurised sufficiently. If the temperature and pressure are both increased from STP to be at or above the critical point for carbon dioxide, it can adopt properties midway between a gas and a liquid. More specifically, it behaves as a supercritical fluid above its critical temperature () and critical pressure (), expanding to fill its container like a gas but with a density like that of a liquid. Supercritical is becoming an important commercial and industrial solvent due to its role in chemical extraction in addition to its relatively low toxicity and environmental impact. The relatively low temperature of the process and the stability of also allows most compounds to be extracted with litt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Benjamin Widom
Benjamin Widom (born 13 October 1927) is the Goldwin Smith Professor of Chemistry at Cornell University. His research interests include physical chemistry and statistical mechanics. In 1998, Widom was awarded the Boltzmann Medal "for his illuminating studies of the statistical mechanics of fluids and fluid mixtures and their interfacial properties, especially his clear and general formulation of scaling hypotheses for the equation of state and surface tensions of fluids near critical points." Academic background Widom was born in Newark, New Jersey. He graduated from New York City's Stuyvesant High School in 1945, and received his BA from Columbia University in 1949, followed by his PhD from Cornell in 1953. He became an instructor of chemistry at Cornell in 1954, was appointed assistant professor in 1955 and a full professor in 1963. He was chair of the chemistry department between 1978 and 1981. He was elected a member of the National Academy of Sciences in 1974 and a fell ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
