Cubic EoS - only VAPOR root is converging o_o

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SUMMARY

The discussion focuses on generating a vapor-liquid equilibrium (VLE) graph for ethylene oxide-water using the Soave-Redlich-Kwong (SRK) equation of state. The user observes that while the vapor root converges, the liquid root does not, leading to a convergence in the complex domain when applying a third-degree Taylor expansion. This raises questions about the physical implications of such convergence. The inquiry seeks further insights or recent findings related to this phenomenon.

PREREQUISITES
  • Understanding of Vapor-Liquid Equilibrium (VLE) concepts
  • Familiarity with the Soave-Redlich-Kwong (SRK) equation of state
  • Knowledge of complex analysis, particularly Taylor series expansions
  • Basic thermodynamics related to phase transitions
NEXT STEPS
  • Research advanced applications of the Soave-Redlich-Kwong (SRK) equation in VLE modeling
  • Explore the implications of complex roots in thermodynamic equations
  • Investigate alternative equations of state for ethylene oxide-water systems
  • Learn about numerical methods for solving phase equilibrium problems
USEFUL FOR

Chemical engineers, thermodynamic researchers, and anyone involved in phase equilibrium modeling and analysis of ethylene oxide-water systems.

maistral
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Hello. I would like to inquire as to how to deal with the said topic title.

I'm trying to generate a VLE graph for ethylene oxide-water. While I know that EO will quickly vaporize since the boiling point of EO is quite low, I'm still trying to generate a VLE using SRK.

So while the vapor root is converging, the liquid root won't.

Upon inspection (and using taylor expansion of the third degree to simplify the equation), I noticed that the two roots (the liquid root and the useless middle root) converge in the complex domain. Does this have a physical meaning?
 
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I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
 

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