Benedict–Webb–Rubin Equation
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Benedict–Webb–Rubin Equation
The Benedict–Webb–Rubin equation (BWR), named after Manson Benedict, G. B. Webb, and L. C. Rubin, is an equation of state used in fluid dynamics. Working at the research laboratory of the M. W. Kellogg Company, the three researchers rearranged the Beattie–Bridgeman equation of state and increased the number of experimentally determined constants to eight. The original BWR equation :P=\rho RT + \left(B_0 RT-A_0 - \frac \right) \rho^2 + \left(bRT-a\right) \rho^3 + \alpha a \rho^6 + \frac\left(1 + \gamma\rho^2\right)\exp\left(-\gamma\rho^2\right), where \rho is the molar density. The BWRS equation of state A modification of the Benedict–Webb–Rubin equation of state by Professor Kenneth E. Starling of the University of Oklahoma: :P=\rho RT + \left(B_0 RT-A_0 - \frac + \frac - \frac\right) \rho^2 + \left(bRT-a-\frac\right) \rho^3 + \alpha\left(a+\frac\right) \rho^6 + \frac\left(1 + \gamma\rho^2\right)\exp\left(-\gamma\rho^2\right), where \rho is the molar density. The ...
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Manson Benedict
Manson Benedict (October 9, 1907 – September 18, 2006) was an American nuclear engineer and a professor of nuclear engineering at the Massachusetts Institute of Technology (MIT). From 1958 to 1968, he was the chairman of the advisory committee to the U.S. Atomic Energy Commission. Biography Born in Lake Linden, Michigan to a Jewish family, Benedict received a B.S. from Cornell University in chemistry, and worked for two years at National Aniline and Chemical Co. before returning to graduate school, earning a Ph.D. from MIT in physical chemistry. It was at MIT where he met his wife Marjorie, who also received a Ph.D. in chemistry. He then became a research chemist at the M. W. Kellogg Limited, where his contributions included the 1940 publication of the Benedict–Webb–Rubin equation. Benedict was well known for his pioneering role in nuclear engineering. He developed the gaseous diffusion method for separating the isotopes of uranium and supervised the engineering and pro ...
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Equation Of State
In physics, chemistry, and thermodynamics, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given set of physical conditions, such as pressure, volume, temperature, or internal energy. Most modern equations of state are formulated in the Helmholtz free energy. Equations of state are useful in describing the properties of pure substances and mixtures in liquids, gases, and solid states as well as the state of matter in the interior of stars. Overview At present, there is no single equation of state that accurately predicts the properties of all substances under all conditions. An example of an equation of state correlates densities of gases and liquids to temperatures and pressures, known as the ideal gas law, which is roughly accurate for weakly polar gases at low pressures and moderate temperatures. This equation becomes increasingly inaccurate at higher pressures and lower temperatures, and fails to predict ...
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Fluid Dynamics
In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids— liquids and gases. It has several subdisciplines, including ''aerodynamics'' (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modelling fission weapon detonation. Fluid dynamics offers a systematic structure—which underlies these practical disciplines—that embraces empirical and semi-empirical laws derived from flow measurement and used to solve practical problems. The solution to a fluid dynamics problem typically involves the calculation of various properties of the fluid, such as flow velocity, pressure, density, and temperature, as functions of space and time. ...
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Beattie–Bridgeman Model
Real gases are nonideal gases whose molecules occupy space and have interactions; consequently, they do not adhere to the ideal gas law. To understand the behaviour of real gases, the following must be taken into account: *compressibility effects; *variable specific heat capacity; *van der Waals forces; *non-equilibrium thermodynamic effects; *issues with molecular dissociation and elementary reactions with variable composition For most applications, such a detailed analysis is unnecessary, and the ideal gas approximation can be used with reasonable accuracy. On the other hand, real-gas models have to be used near the condensation point of gases, near critical points, at very high pressures, to explain the Joule–Thomson effect, and in other less usual cases. The deviation from ideality can be described by the compressibility factor Z. Models Van der Waals model Real gases are often modeled by taking into account their molar weight and molar volume :RT = \left(p + \frac\ri ...
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Journal Of Chemical Physics
''The Journal of Chemical Physics'' is a scientific journal published by the American Institute of Physics that carries research papers on chemical physics."About the Journal"
from the ''Journal of Chemical Physics'' website.
Two volumes, each of 24 issues, are published annually. It was established in 1933 when '''' editors refused to publish theoretical works. The editors have been: *2019-present: Tim Lian *2008–2018: *2007–2008:
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Molar Density
Molar may refer to: *Molar (tooth), a kind of tooth found in mammals *Molar (grape), another name for the Spanish wine grape Listan Negro *Molar (unit), a unit of concentration equal to 1 mole per litre *Molar mass *Molar volume *El Molar, Tarragona, a village in the comarca (county) of Priorat, province of Tarragona in the autonomous region of Catalonia, Spain *El Molar, Madrid, a town in the north of the Community of Madrid in the road to Burgos, after San Agustín de Guadalix See also * Moler, a power-pop band from Australia * Moler (surname) Moler is a surname. Notable people with the surname include: *Cleve Moler (born 1939), American mathematician and computer programmer * Janja Moler (1780-1841), Serbian iconographer *Janko Mihailović Moler (1792–1853), Serbian priest and artist ...
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National Institute Of Standards And Technology
The National Institute of Standards and Technology (NIST) is an agency of the United States Department of Commerce whose mission is to promote American innovation and industrial competitiveness. NIST's activities are organized into physical science laboratory programs that include nanoscale science and technology, engineering, information technology, neutron research, material measurement, and physical measurement. From 1901 to 1988, the agency was named the National Bureau of Standards. History Background The Articles of Confederation, ratified by the colonies in 1781, provided: The United States in Congress assembled shall also have the sole and exclusive right and power of regulating the alloy and value of coin struck by their own authority, or by that of the respective states—fixing the standards of weights and measures throughout the United States. Article 1, section 8, of the Constitution of the United States, ratified in 1789, granted these powers to the new Congr ...
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Texas A&M University
Texas A&M University (Texas A&M, A&M, or TAMU) is a public, land-grant, research university in College Station, Texas. It was founded in 1876 and became the flagship institution of the Texas A&M University System in 1948. As of late 2021, Texas A&M has the largest student body in the United States, and is the only university in Texas to hold simultaneous designations as a land, sea, and space grant institution. In 2001, it was inducted into the Association of American Universities. The university's students, alumni, and sports teams are known as Aggies, and its athletes compete in eighteen varsity sports as a member of the Southeastern Conference. The university was the first public higher-education institution in Texas; it opened for classes on October 4, 1876, as the Agricultural and Mechanical College of Texas (A.M.C.) under the provisions of the 1862 Morrill Land-Grant Act. In the following decades, the college grew in size and scope, expanding to its largest enrol ...
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Real Gas
Real gases are nonideal gases whose molecules occupy space and have interactions; consequently, they do not adhere to the ideal gas law. To understand the behaviour of real gases, the following must be taken into account: *compressibility effects; *variable specific heat capacity; *van der Waals forces; *non-equilibrium thermodynamic effects; *issues with molecular dissociation and elementary reactions with variable composition For most applications, such a detailed analysis is unnecessary, and the ideal gas approximation can be used with reasonable accuracy. On the other hand, real-gas models have to be used near the condensation point of gases, near critical points, at very high pressures, to explain the Joule–Thomson effect, and in other less usual cases. The deviation from ideality can be described by the compressibility factor Z. Models Van der Waals model Real gases are often modeled by taking into account their molar weight and molar volume :RT = \left(p + \frac\ri ...
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