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  2. Virial expansion - Wikipedia

    en.wikipedia.org/wiki/Virial_expansion

    The virial expansion is a 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 be represented in terms of the compressibility factor, Z, as This equation was first proposed by Kamerlingh Onnes. [1] The terms A, B, and C represent the virial ...

  3. Real gas - Wikipedia

    en.wikipedia.org/wiki/Real_gas

    Critical isotherm for Redlich-Kwong model in comparison to van-der-Waals model and ideal gas (with V 0 =RT c /p c) The Redlich–Kwong equation is another two-parameter equation that is used to model real gases. It is almost always more accurate than the van der Waals equation, and often more accurate than some equations with more than two ...

  4. Redlich–Kwong equation of state - Wikipedia

    en.wikipedia.org/wiki/Redlich–Kwong_equation_of...

    In physics and thermodynamics, the Redlich–Kwong equation of state is an empirical, algebraic equation that relates temperature, pressure, and volume of gases. It is generally more accurate than the van der Waals equation and the ideal gas equation at temperatures above the critical temperature. It was formulated by Otto Redlich and Joseph ...

  5. Boyle temperature - Wikipedia

    en.wikipedia.org/wiki/Boyle_temperature

    This is the virial equation of state and describes a real gas. Since higher order virial coefficients are generally much smaller than the second coefficient, the gas tends to behave as an ideal gas over a wider range of pressures when the temperature reaches the Boyle temperature (or when = or are minimized).

  6. Van der Waals equation - Wikipedia

    en.wikipedia.org/wiki/Van_der_Waals_equation

    The van der Waals equation, named for its originator, the Dutch physicist Johannes Diderik van der Waals, is an equation of state that extends the ideal gas law to include the non-zero size of gas molecules and the interactions between them (both of which depend on the specific substance). As a result the equation is able to model the phase ...

  7. Equation of state - Wikipedia

    en.wikipedia.org/wiki/Equation_of_state

    Equation of state. In physics and chemistry, 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. [1] Most modern equations of state are formulated in the Helmholtz free energy.

  8. Virial theorem - Wikipedia

    en.wikipedia.org/wiki/Virial_theorem

    Virial theorem. In statistical mechanics, the virial theorem provides a general equation that relates the average over time of the total kinetic energy of a stable system of discrete particles, bound by a conservative force (where the work done is independent of path) with that of the total potential energy of the system.

  9. Lennard-Jones potential - Wikipedia

    en.wikipedia.org/wiki/Lennard-Jones_potential

    Furthermore, Brown's characteristic curves and the virial coefficients are directly linked in the limit of the ideal gas and are therefore known exactly at . Both computer simulation results and equation of state results have been reported in the literature for the Lennard-Jones potential. [53] [21] [52] [56] [57]