Thermodynamic properties of nitrogen up to 1300?K and 1000 bars

Вассерман, А. А.; Rabinovich, V. A.

doi:10.1007/bf00975837

Cited by 3 publications

(4 citation statements)

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“…3. To achieve the equation of state for real gases, we have used the idea about possible presentation of the compressibility factor in the form of the sum, where each summand is the product of temperature function and density (volume) function (Kazavchinsky equation) Z = 1 + F false( T false) φ false( normalρ false) + ... + ψ false( normalρ false) …”

Section: Methods For Derivation Of Semiempirical Equation Of State Of...mentioning

confidence: 99%

Phenomenological Method for Construction of the Liquid and Gas Equation of State

Каплун

Мешалкин

2010

J. Chem. Eng. Data

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The semiempirical method was suggested for construction of a simple equation of state for liquid and gas. With this purpose, some new conditions and restrictions, which should be satisfied by the “right” equation of state, were formulated. In particular, the preferable structure of the equation of state was determined. The equations for description of thermodynamic properties of real gases and liquid phase were derived with involvement of additional restrictions. The second virial coefficient calculated on the basis of the modified step potential of intermolecular interactions was used as the temperature functions in the derived equations, and the density functions were determined from analysis of experimental data. A new equation of state for liquid and gas with six individual adjustable parameters was suggested. This new equation describes the thermodynamic properties of substances much better than the known Benedict−Webb−Rubin equation of state. Some caloric properties of substances were calculated.

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Section: Methods For Derivation Of Semiempirical Equation Of State Of...mentioning

confidence: 99%

Phenomenological Method for Construction of the Liquid and Gas Equation of State

Каплун

Мешалкин

2010

J. Chem. Eng. Data

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“…However, it is not obvious that the unlimited formal increase in the number of steps in approximating the potential will obligatorily lead to the improvement of EoS quality. Thus, an increase in the number of steps in the temperature functions and, hence, an increase in the number of temperature functions can impede the empirical search for density functions in EoS in “elementary” functions …”

Section: Equation Of State Of Liquid and Gas For Engineering Calculat...mentioning

confidence: 99%

“…The phenomenological method for deduction of the EoS of liquid and gas is shown . The EoS is written as the sum, where each member is the product of temperature function and density function . It is shown that the second virial coefficient B ( T ), calculated via the modified stepped potential of intermolecular interaction suggested by the authors, can be used as the temperature function, and the density function can be determined via the analysis of experimental data.…”

Section: Introductionmentioning

confidence: 99%

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Simple Self-Empirical Equation of State of Liquid and Gas for Engineering Calculations

Каплун

Мешалкин

2011

J. Chem. Eng. Data

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The new simple semiempirical equation of state (EoS) for the description of P−ρ−T data of “normal” substances was specified. The new EoS has eight individual adjustable coefficients, and it describes the thermal properties of gas, liquid, and fluid with an accuracy within the error of experimental data, except for the critical region. The caloric properties and the speed of sound of argon, nitrogen, and carbon dioxide were calculated with the help of known thermodynamic equations, and in general divergences between calculated and tabular caloric data do not exceed the experimental error. The new equation can be used for engineering calculations at the deficit of experimental data, especially on the caloric properties of substances.

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Real phase diagrams (teaching demonstration)

Wray¹

1972

Phys. Educ.

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It is well known that thermodynamic diagrams in textbooks are seldom accurately drawn. The most common example is the Carnot cycle of an ideal gas. As drawn on a pressure-volume (P-V) diagram, the isotherms of the cycle should lie on rectangular hyperbolae. However they cannot then be clearly distinguished from the adiabatics, and in practice the cycle is drawn with the isotherms flattened. The distinction between adiabatics and isothermals is then clearly seen by the student but the distortion involved in this presentation is usually ignored.This may not matter for the simple Carnot cycle. It certainly does matter for the pressure-temperature (P-T) and P-Vphase diagrams which show the melting, boiling and crystal structure transitions of a substance. These transitions differ so greatly in magnitude that some distortion is essential if all the relevant details are to be presented, but the result is that students hardly ever see an accurately drawn diagram. Indeed, they seldom see a complete diagram for a real substance at all, to scale or not. Consequently they find it difficult to develop any 'feel' for the magnitudes of the various quantities.They also fail to realize that the various crystal structures of a substance are distinct solid phases which take their place alongside the liquid and gaseous phases in the P-V and P-T diagrams.Some diagrams, such as entropy+nthalpy (Mollier) charts are already available to scale. However, these usually omit the solid phases and are, in any case, less suitable for teaching purposes than diagrams of the directly observable parameters P, Vand T.

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Thermodynamic properties of nitrogen up to 1300?K and 1000 bars

Cited by 3 publications

References 10 publications

Phenomenological Method for Construction of the Liquid and Gas Equation of State

Phenomenological Method for Construction of the Liquid and Gas Equation of State

Simple Self-Empirical Equation of State of Liquid and Gas for Engineering Calculations

Real phase diagrams (teaching demonstration)

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