1 P= RT/V Cubic Equation of State - PowerPoint Presentation

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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 BehaviorPsat ~ exp(-Ea/kT)Log(P) ~ 1/TSlope 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)

h

P

= rb = b/V

VDW EOS

So, a/b is attractive energy in J/mole

a

/

b

=

N

A

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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