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Topic: Equation of state


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In the News (Thu 21 Mar 19)

  
  Equation of state (cosmology) information - Search.com
In cosmology, the equation of state of a perfect fluid is characterized by a dimensionless number w, equal to the ratio of its pressure p to its energy density ρ: w = p / ρ.
The equation of state is used to describe the evolution of a perfect fluid in a homogeneous isotropic universe, the Friedmann-Lemaître-Robertson-Walker universe.
In the simplest case, the equation of state of the cosmological constant is w = − 1.
www.search.com /reference/Equation_of_State_(Cosmology)   (535 words)

  
  Equation of state Summary
An equation of state is a quantitative relationship among the variables that determine the state of a given system, that is, whether it is solid, liquid, or vapor, its enthalpy or heat content, etc. The state of a system is its condition or situation, at a given instant, and is determined by its properties.
Equations of state are useful in describing the properties of fluids, mixtures of fluids, solids, and even the interior of stars.
The Elliott, Suresh, and Donohue (ESD) equation of state (EOS) was proposed in 1990.
www.bookrags.com /Equation_of_state   (2626 words)

  
 Equation of State of Liquid-vapour Equilibrium with the Same Constants for Both Phases
Equation of State of Liquid-vapour Equilibrium with the Same Constants for Both Phases
Nevertheless, in view of the average experiences with these equations, several of their results, relatively, could be considered as accurate or satisfactory ones.
about the most common fourteen equations of state, based on the critical data of argon and n-butane, clearly confirmed anew these circumstances.
www.nature.com /nature/journal/v208/n5017/abs/2081315b0.html   (193 words)

  
 vik dhillon: phy213 - the physics of stellar interiors - equation of state of a degenerate gas
Thus far, we have assumed that stars are composed of ideal gases and hence the pressure is given by the ideal gas equation of state we have just derived.
The quantum state of an electron is given by the 6 values which describe its position and momentum, i.e.
Similarly, there is not a sharp transition between the ideal gas equation of state and the corresponding degenerate formulae.
www.shef.ac.uk /physics/people/vdhillon/teaching/phy213/phy213_degeneracy.html   (1219 words)

  
 Equations of State
An equation of state is a formula describing the interconnection between various macroscopically measurable properties of a system.
For physical states of matter, this equation usually relates the thermodynamic variables of pressure, temperature, volume and number of atoms to one another.
Equations of state in terms of reduced variables give reasonable results without any empirically determined constants for a specific substance.
www.cem.msu.edu /~young/topics/eq_state.html.old   (1840 words)

  
 Equation of state (cosmology) - Wikipedia, the free encyclopedia
In cosmology, the equation of state of a perfect fluid is characterized by a dimensionless number w, equal to the ratio of its pressure p to its energy density ρ: w = p / ρ.
The equation of state is used to describe the evolution of a perfect fluid in a homogeneous isotropic universe, the Friedmann-Lemaître-Robertson-Walker universe.
In the simplest case, the equation of state of the cosmological constant is w = − 1.
en.wikipedia.org /wiki/Equation_of_State_(Cosmology)   (573 words)

  
 Property Modeling
The Patel-Teja Cubic Equation of State for Mixtures
The parameter a of equation 2-3 represents a rough measure of the attraction forces between the molecules, and the parameter b is related to the size of the molecule.
Equating the fugacity for each component in the liquid to its respective fugacity in the vapor provide the two additional equations that are needed to solve for the vapor phase composition and the liquid phase composition.
www.me.gatech.edu /energy/andy_phd/two.htm   (5641 words)

  
 Equations of State
An equation of state is a formula describing the interconnection between various macroscopically measurable properties of a system.
For physical states of matter, this equation usually relates the thermodynamic variables of pressure, temperature, volume and number of atoms to one another.
Equations of state in terms of reduced variables give reasonable results without any empirically determined constants for a specific substance.
www.ccl.net /cca/documents/dyoung/topics-orig/eq_state.html   (2066 words)

  
 Equation of state (cosmology) - Wikipedia, the free encyclopedia
It is closely related to the thermodynamic equation of state and ideal gas law.
Measuring the equation of state of dark energy is one of the largest efforts of observational cosmology.
Any equation of state in between is achievable, which makes scalar fields useful models for many phenomena in cosmology.
en.wikipedia.org /wiki/Equation_of_state_(cosmology)   (573 words)

  
 Equation of state and weak interactions
At the low temperature border of nuclear statistical equilibrium, the equation of state is connected to a Boltzmann gas of silicon atoms.
The particles treated by the equation of state are assumed to react with each other on very short time scales such that a description in terms of an instantaneous equilibrium is appropriate.
In this paper we demonstrate that in the case of spherical symmetry the complexity of the transport equation is manageable and proceed with the analysis in a comoving frame (spacetime coordinates and neutrino four-momentum) to take advantage of the simplifications in the collision term.
www.cita.utoronto.ca /~liebend/transport/node3.html   (854 words)

  
 The Equation of State in Astrophysics - Cambridge University Press
Equations of state in stellar structure and evolution H. Van Horn; 2.
Equation of state of stellar plasmas F. Rogers; 3.
Equation of state of dense hydrogen and the plasma phase transition F. Perrot and C. Dharma-wardana; 13.
uk.cambridge.org /catalogue/catalogue.asp?isbn=0521472601   (740 words)

  
 Equation of State
If we divide both sides of the general equation by the mass of the gas, the volume becomes the specific volume, which is the inverse of the gas density.
The value of the equation of state for air is given on the slide as.286 kilo Joule per kilogram per Kelvin.
Also be aware that the temperature given in the equation of state must be an absolute temperature that begins at absolute zero.
www.grc.nasa.gov /WWW/K-12/airplane/eqstat.html   (605 words)

  
 Changes in Equation of State
Their work was done with an Eulerian code in cylindrical coordinates that used the diffusive donor cell advection method which imposed the polytropic equation of state throughout the runs.
At the end of the simulations, the models with n=1.5 and n=1.0 have settled into a state with a nearly axisymmetric core surrounded by a flattened disk-like halo that contains approximately 10% of the total mass and approximately 30% of the total angular momentum.
The simulations presented here use stiff equations of state, which are appropriate only for stellar cores that have collapsed to near neutron star densities.
cfa-www.harvard.edu /~jhouser/EOS.html   (816 words)

  
 Equation of state - Wikipedia, the free encyclopedia
In physics and thermodynamics, an equation of state is a thermodynamic equation describing the state of matter under a given set of physical conditions.
It is a constitutive equation which provides a mathematical relationship between two or more state functions associated with the matter, such as its temperature, pressure, volume, or internal energy.
Other modern equations of only slightly greater complexity are much more accurate.
en.wikipedia.org /wiki/Equation_of_state   (1727 words)

  
 The equation of state of an ideal gas
All of the thermodynamic properties of an ideal gas are summed up in its equation of state, which determines the relationship between its pressure, volume, and temperature.
It is certainly far easier to obtain the equation of state in this manner than to treat the atoms which make up the gas as little billiard balls which continually bounce of the walls of a container.
It is clear, from the above derivation, that the crucial element needed to obtain the ideal gas equation of state is the absence of interatomic forces.
farside.ph.utexas.edu /teaching/sm1/lectures/node50.html   (835 words)

  
 Equation of State   (Site not responding. Last check: )
Aerodynamicists use a slightly different form of the equation of state that is specialized for air.
If we divide both sides of the general equation by the mass of the gas, the volume becomes the specific volume, which is the inverse of the gas density.
The value of the equation of state for air is given on the slide as.286 kilo Joule per kilogram per degree Kelvin.
grc.nasa.gov /WWW/K-12/VirtualAero/BottleRocket/airplane/eqstat.html   (595 words)

  
 Equation of state
Based on the pressure, temperature and composition of the fluid system, the equation of state calculate the composition, density, enthalpy density, and relative amount of the various phases.
Two different equation of state options exist: A table based fl oil model, and a method based on the Soave-Redlich-Kwong (SRK) cubic equation of state.
The equation of state input is found between the codeword pair
www.uib.no /People/nmaeo/pub/somuserv10/node29.html   (79 words)

  
 RIA - Equation of State of Neutron-rich Matter   (Site not responding. Last check: )
Equation of state for symmetric matter: the relationship between pressure (in atmospheres) and density for nuclear matter (in gram/cubiccentimeter).
The relationship between pressure and density is the equation of state for that substance.
To determine the equation of state for nuclear matter, nuclear collisions provide the only available means to change its density under experimentally controlled conditions.
www.nscl.msu.edu /ria/science/eos.php   (278 words)

  
 Equation of State for non-polar fluids
Then it is necessary to construct an equation, describing the behavior of the hypothetical fluid with a chosen model of intermolecular interaction.
Carnahan N.F. and Starling K.E. (1969) Equation of state for non-attracting rigid spheres.
Shmulovich K.I., Tereshchenko Ye.N. and Kalinichev A.G. (1982) An equation of state and isochors for nonpolar gases to 2000K and 10 GPa.
people.web.psi.ch /churakov/EOS/EOS_theory.html   (844 words)

  
 Equation of state of the postperovskite phase synthesized from a natural (Mg,Fe)SiO3 orthopyroxene -- Shieh et al. 103 ...
Equation of state of the postperovskite phase synthesized from a natural (Mg,Fe)SiO3 orthopyroxene -- Shieh et al.
stability and equation of state of the postperovskite (ppv,
Equations of state of CaIrO3 perovskite and post-perovskite phases
www.pnas.org /cgi/content/abstract/103/9/3039   (520 words)

  
 Gases and Fluids - Physics - Numericana
Solving the differential equation corresponding to the vanishing of the square bracket, we find the "law" to be equivalent to the isochoric law of Gay-Lussac, which is true if and only if the molar equation of state is of the form:
The virial expansion of the (molar) Van der Waals equation of state is:
An equation of state where all virial coefficients would vanish beyond the second one would not be good enough to predict a liquid-vapor phase transition.
home.att.net /~numericana/answer/gas.htm   (4749 words)

  
 Flash and Equilibrium Constants Calculations using the Soave-Redlich-Kwong equation of state -- from Mathematica ...
The phi-phi method, based on the SRK equation of state, is used to compute the equilibrium constants.
All results are in agreement with those given by HYSYS 3.2 as well as the results in the Master's thesis of Romain Privat from the Ecole Nationale Supérieure des Industries Chimiques de Nancy (Nancy, 2005) under the supervision of J-P Corriou.
In the notebook HS_SRK_Example4_10.nb, we obtain equilibrium constants, compressibility factors, molar volumes and densities using the Soave-Redlich-Kwong equation of state for a mixture of methane, ethane and propane.
library.wolfram.com /infocenter/MathSource/5964   (211 words)

  
 NUCLEAR METHODS AND THE NUCLEAR EQUATION OF STATE
The theoretical study of the nuclear equation of state (EOS) is a field of research which deals with most of the fundamental problems of nuclear physics.
The ultimate hope of this world-wide effort is the understanding of the structure of nuclear matter, both in the ground state and at finite temperature.
The main audience addressed is the community of theoretical nuclear physicists, but nuclear experimentalists and astrophysicists will also find in the book an extensive amount of material of direct interest for their everyday work, particularly for those studying heavy-ion collisions, where the nuclear EOS is of special relevance.
www.worldscibooks.com /physics/2657.html   (365 words)

  
 Sea Water Equation of State Calculator
The underlying equations are valid for temperatures from -2 to 35 deg C, pressures from 0 to 10,000 dbar, and practical salinity from 2 to 42.
Other formulations of the equation of state exist and may be superior for some applications.
Wright (1977) produced an equation of state formulation for efficient use in numerical models.
fermi.jhuapl.edu /denscalc.html   (1299 words)

  
 Equation of state for ideal gas   (Site not responding. Last check: )
An equation of state is a relationship between thermodynamic variables such as pressure, temperature, and volume (if we deal with a gas) of a fixed quantity of a specific material in thermal equilibrium.
The equation of state for a solid involve temperature and the linear dimensions of the solid and is a complicated manifestation of the particular chemical bonding in the material.
In contrast the equation of state for an ideal gas is exceedingly simple because we have defined our temperature scale in terms of this very system.
www.pha.jhu.edu /~broholm/l33/node5.html   (171 words)

  
 Applications of the Soave-Redlich-Kwong Equation of State -- from Mathematica Information Center
In the notebook zakia2.nb, we show how one can use the Soave-Redlich-Kwong Equation of State to compute vapor and liquid molar volumes and vapor pressure at various temperatures as well as the vapor liquid equilibrium curve for Ethane.
The vapor pressure data obtained using this cubic equation of state is compared with success to the results derived from the modified Antoine's equation.
Soave-Redlich-Kwong Equation of State, vapor liquid equilibrium curve, vapor and liquid molar volumes, vapor pressure versus temperature, modified Antoine's equation, cubic equation of state
library.wolfram.com /infocenter/MathSource/5963   (106 words)

  
 SCOR WG 127 on Thermodynamics ane Equation of State of Seawater
SCOR WG 127 on Thermodynamics ane Equation of State of Seawater
To examine the results of recent research in ocean thermodynamics with a view to recommending a change to the internationally recommended algorithms for evaluating density and related quantities (including enthalpy, entropy and potential temperature).
To write a set of related recommendations on the above topics in the form of a report to SCOR/IAPSO and a review or series of reviews to be published in the scientific literature.
www.jhu.edu /~scor/wg127.htm   (189 words)

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