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Cubic equations of state information


Cubic equations of state are a specific class of thermodynamic models for modeling the pressure of a gas as a function of temperature and density and which can be rewritten as a cubic function of the molar volume.

Equations of state are generally applied in the fields of physical chemistry and chemical engineering, particularly in the modeling of vapor–liquid equilibrium and chemical engineering process design.

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Cubic equations of state

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Cubic equations of state are a specific class of thermodynamic models for modeling the pressure of a gas as a function of temperature and density and...

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Cubic equation

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Al-Muʿādalāt (Treatise on Equations), which dealt with eight types of cubic equations with positive solutions and five types of cubic equations which may not have...

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Equation of state

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of equations of state, and was the starting point of cubic equations of state, which most famously continued via the Redlich–Kwong equation of state and...

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VTPR

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VTPR is a group contribution equation of state. This is class of prediction methods combine equations of state (mostly cubic) with activity coefficient...

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Van der Waals equation

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p_{\text{c}}} , and noting that these two cubic equations are the same when all their coefficients are equal gives three equations b + R T c / p c = 3 v c a / p c...

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Thermodynamic modelling

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order to enhance the accuracy of the evaluating thermodynamic properties. Cubic equations of state refer to the group of thermodynamic models that can...

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Virial expansion

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model of thermodynamic equations of state. It expresses the pressure P of a gas in local equilibrium as a power series of the density. This equation may...

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Friedmann equations

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Friedmann equations, also known as the Friedmann-Lemaître or FL equations, are a set of equations in physical cosmology that govern the expansion of space...

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List of equations

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Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical...

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Statistical associating fluid theory

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with cubic equations of state for describing the dispersive-repulsive interactions, for example in the Cubic-Plus-Association (CPA) equation of state model...

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Ding Yu Peng

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of Chemical Engineering at the University of Saskatchewan. Under the direction of Donald B. Robinson, Peng introduced a two-parameter cubic equation of...

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History of algebra

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Al-Mu'adalat (Treatise on Equations), which dealt with eight types of cubic equations with positive solutions and five types of cubic equations which may not have...

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Standard cubic feet per minute

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Standard cubic feet per minute (SCFM) is the molar flow rate of a gas expressed as a volumetric flow at a "standardized" temperature and pressure thus...

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Quadratic equation

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root of x2 + x + a in F16. This is a special case of Artin–Schreier theory. Solving quadratic equations with continued fractions Linear equation Cubic function...

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Maxwell construction

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they are predicted by the van der Waals equation, and cubic equations in general, is compelling evidence of its efficacy in describing phase transitions;...

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Solution in radicals

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}}}{2a}}} of the quadratic equation a x 2 + b x + c = 0. {\displaystyle ax^{2}+bx+c=0.} There exist more complicated algebraic solutions for cubic equations and...

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Nernst equation

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the Nernst equation for each corresponding reduction reaction (need to revert the water oxidation reaction producing oxygen), both equations have a similar...

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Timeline of algebra

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discovered the derivative of cubic polynomials and realized its significance for investigating conditions under which cubic equations were solvable; however...

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Viscosity models for mixtures

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{\text{and}}\quad \left[P_{c}\right]=bar} The cubic equation of state (EOS) are very popular equations that are sufficiently accurate for most industrial...

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Quadratic formula

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closed-form expression describing the solutions of a quadratic equation. Other ways of solving quadratic equations, such as completing the square, yield the...

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Non ideal compressible fluid dynamics

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unity for increasing levels of non-ideality. Several non-ideal models exist, from the simplest cubic equations of state (such as the Van der Waals and...

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List of nonlinear partial differential equations

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See also Nonlinear partial differential equation, List of partial differential equation topics and List of nonlinear ordinary differential equations....

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Omar Khayyam

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of cubic equations, where he provided a geometric formulation based on the intersection of conics. He also contributed to a deeper understanding of Euclid's...

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