
Review of Short Phrases and Links 
This Review contains major "Equation of State" related terms, short phrases and links grouped together in the form of Encyclopedia article.
Definitions
 An equation of state is a formula describing the interconnection between various macroscopically measurable properties of a system.
 Equation of state is an equation relating the pressure, volume, and temperature of a substance or system.
 The equation of state was originally developed for ideal gases, and proved central to the development of early molecular and atomic physics.
 The equation of state was widely tested by fitting experimental vapor–liquid equilibrium data.
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Equation of State
 For any form of the effective potential U eff(), there is an equation of state p=p() that will produce it.
 A symposium in honour of the 20th anniversary of the PengRobinson equation of state.
 Equation of state: Encyclopedia of chemistry, analytics & pharmaceutics with 64,557 entries.
 Carnahan N.F. and Starling K.E. (1969) Equation of state for nonattracting rigid spheres.
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 In the simplest case, the equation of state of the cosmological constant is .
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 Proposed in 1873, the vanderWaalsequationofstate was one of the first to perform markedly better than the ideal gas law.
 Closing the system requires an equation of state; the most commonly used is the ideal gas law (i.e.
 An equation of state relates the pressure and the density of a gas.
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 Thus, near the end of helium reionization the equation of state can invert itself, with the hottest gas inside voids.
 The ideal gas law is the equation of state of a hypothetical ideal gas, first stated by Benot Paul mile Clapeyron in 1834.
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 It is closely related to the thermodynamic equation of state and ideal gas law.
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 In continuum mechanics, an equation of state suitable for modeling solids is naturally rather different from the ideal gas law.
 Equation of state for ideal gas pV = nRT where p is pressure, V molar volume, T temperature, and R the molar gas constant (8.314 JK1mol1).
 Also be aware that the temperature given in the equation of state must be an absolute temperature that begins at absolute zero.
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 A sound knowledge of the equation of state is a prerequisite to an understanding of processes at very high temperatures and pressures.
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 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.
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 The van der Waal's equation is a second order approximation of the equation of state of a gas that will work even when the density of the gas is not low.
 In 1873, J. D. van der Waals introduced the first equation of state derived by the assumption of a finite volume occupied by the constituent molecules.
 This equation is invariant (i.e., the same equation of state, viz., above, applies) for all fluids.
 Equation of state and VLE for fluid mixtures 4.
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 As a specific example of the application of perturbation theory, we consider the VanderWaalsequationofstate.
 Here a spreadsheet experiment is presented that can be used to illustrate various aspects of the vanderWaalsequationofstate.
 Although usually not the most convenient equation of state, the virial equation is important because it can be derived directly from statistical mechanics.
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 The application of a more complicated equation of state, as a cubic equation, is a little more difficult, specially for the determination of volume.
 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.
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 At present, there is no single equation of state that accurately predicts the properties of all substances under all conditions.
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 The most prominent use of an equation of state is to predict the state of gases and liquids.
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 The relationship between pressure and density is the equation of state for that substance.
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 The equation of state is expressed as a functional relationship connecting the various parameters needed to specify the state of the system.
 A related concept is the perfect fluid equation of state used in cosmology.
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 Measuring the equation of state of dark energy is one of the largest efforts of observational cosmology.
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 The value of the equation of state for air is given on the slide as .286 kilo Joule per kilogram per Kelvin.
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 The symbol e means internal energy per unit mass; thus if ideal gases are considered, the equation of state is p = ρ(γ  1) e.
 Introduced in 1949 the RedlichKwong equation of state was a considerable improvement over other equations of the time.
 An improved MHD equation of state (QMHD) is introduced.
 Equation of state of dense hydrogen and the plasma phase transition F. Perrot and C. Dharmawardana; 13.
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 This makes it difficult to show how the liquid–gas phase diagram is obtained from the equation of state.
 Fugacity coefficient and residual enthalpy are determined from well known thermodynamic relationships and the SRK equation of state.
 In the case of compressible flow the density becomes another unknown of the system, and can be determined suplementing the system with an equation of state.

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