Overview Chapter 7 Ideal Gas Equation of State P= RT/V Van der - - PowerPoint PPT Presentation

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overview chapter 7 ideal gas equation of state p rt v van
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Overview Chapter 7 Ideal Gas Equation of State P= RT/V Van der - - PowerPoint PPT Presentation

Nov 19, 2023 181 likes •730 views

Overview Chapter 7 Ideal Gas Equation of State P= RT/V Van der Waals Equation of State Cubic Equation of State Virial Equation of State Peng-Robinson Equation of State (PREOS) Cubic Equation of State Solve cubic equations (3 roots) 1 2

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P= RT/V Cubic Equation of State Overview Chapter 7 Cubic Equation of State Solve cubic equations (3 roots) Ideal Gas Equation of State Van der Waals Equation of State Virial Equation of State Peng-Robinson Equation of State (PREOS)

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L/V SCF CL L V IG 0.95<Z<1.05

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Arrhenius Behavior Psat ~ exp(-Ea/kT) Log(P) ~ 1/T Slope is an activation energy for Psat

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1/0.7

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CalTech Berkley Rice Stanford

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No acentric factor

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From Concepts in Thermal Physics

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Dimensionless form for equations of state

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F(Z)=

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http://chethermo.net/sites/default/files/doc/supp/SuppExcel.pdf

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Solve for a and b in Van der Waals

  • Eqn. for instance

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This is solved in appendix B2 p. 822

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How do molecular parameters relate to EOS e.g. VDW EOS

VDW EOS PR EOS Molar volume and b Packing factor (0 to 1) hP = rb = b/V VDW EOS So, a/b is attractive energy in J/mole a/b = NA e

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Repulsive Interactions Slope in 1/T Due to Attractive Interactions

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Molecular Simulations for EOS

Collision of two particles in 2D

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