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Second and Third Virial Coefficients for Hydrogen.

R D Goodwin1, D E Diller1, H M Roder1

  • 1Cryogenic Engineering Laboratory, National Bureau of Standards, Boulder, Colo.

Journal of Research of the National Bureau of Standards. Section A, Physics and Chemistry
|December 14, 2019
PubMed
Summary
This summary is machine-generated.

Second and third virial coefficients for parahydrogen were calculated using precise PVT data. These results align with existing data and provide analytical formulas for thermodynamic calculations.

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Area of Science:

  • Thermodynamics
  • Physical Chemistry
  • Statistical Mechanics

Background:

  • Accurate thermodynamic data is crucial for understanding gas behavior.
  • Virial coefficients describe deviations from ideal gas laws.

Purpose of the Study:

  • To derive second and third virial coefficients for parahydrogen.
  • To develop analytical representations for thermodynamic calculations.

Main Methods:

  • Utilized closely spaced Pressure-Volume-Temperature (PVT) data.
  • Analyzed data from 24 to 100 K for virial coefficient derivation.
  • Developed analytical formulas for combined data (20-423 K).

Main Results:

  • Successfully derived second and third virial coefficients for parahydrogen.
  • Demonstrated good agreement with published data for normal hydrogen at 100 K.
  • Presented analytical representations of the virial coefficients.

Conclusions:

  • The derived virial coefficients are reliable for parahydrogen.
  • The analytical formulas can aid in computing thermodynamic functions.
  • The findings relate to theoretical models like the Lennard-Jones potential.