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Phase Behavior and ThermodynamicsPVT Properties

Van der Waals Critical Pressure from Parameters Formula

Pc=a27b2P_c = \frac{a}{27b^2}

Van der Waals Critical Pressure from Parameters calculates critical pressure for pvt properties workflows in phase behavior and thermodynamics.

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How engineers use this formula

Use this formula when the listed inputs (a_vdw, b_vdw) are known and the assumptions behind the cited pvt properties relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, P_c equals 667 psi.

a_vdwpsi*ft^6/lbmol^2

8569.888074689066

b_vdwft^3/lbmol

0.6898311094452774

Inputs

a_vdw

psi*ft^6/lbmol^2

van der Waals Attraction Parameter

b_vdw

ft^3/lbmol

van der Waals Covolume Parameter

Outputs

P_c

psi

Critical Pressure

a_vdw

psi*ft^6/lbmol^2

van der Waals Attraction Parameter

b_vdw

ft^3/lbmol

van der Waals Covolume Parameter

Source and review

reviewed

Chemistry LibreTexts, Condensation of Gases and the Critical State, critical-constant derivation.

Source

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