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Complexity of Density Dependencies of Thermal- and Internal- Pressure Compared to that of Total Pressure

Sajjadi, Hashem | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 43834 (03)
  4. University: Sharif University of Technology
  5. Department: Chemistry
  6. Advisor(s): Parsafar, Gholamabbas; Goharshadi, Elaheh
  7. Abstract:
  8. A simple equation of state (EoS) has recently been introduced (J. Phys. Chem. B 2009, 113, 11977–11987) as (Z-1) v^2=e+f⁄ρ+gρ^2, where Z≡pv⁄RT is the compressibility factor, v=1⁄ρ is molar volume, and e, f, and g are temperature dependent parameters. This EoS has been found to be accurate for all types of nano- and bulk- solids and bulk fluids, in the entire temperature and pressure ranges for which experimental data are reported, except for the isotherms within the critical region.
    The aim of this work is to investigate the validity of a 3-term expression similar to the mentioned EoS for both thermal and internal contributions to the compressibility factor, separately. Such investigations show that although the total pressure well obeys from the EoS, neither its thermal nor its internal contributions follow a similar 3-term expression. Therefore, there are some terms in the individual pressure contributions, which cancel each other out in the total pressure, which makes the EoS so simple. However, we have shown that, there is one extra term in each contribution which doesn’t cancel out in the total pressure, for the isotherms within the critical region.
    Finally, the obtain expression for the internal compressibility factor along with the EoS is used to derive internal energy, enthalpy, entropy, heat capacity at constant volume and constant pressure each as a quadric function in density, for each isotherm, out of the critical region
  9. Keywords:
  10. State Equation ; Internal Pressure ; Thermodynamic Properties ; Thermal Pressure ; Critical Region

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