Cubic EoS - only VAPOR root is converging o_o

AI Thread 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 notes that while the vapor root converges, the liquid root does not, leading to complications in the calculations. Upon further analysis, it was observed that both the liquid root and a non-physical middle root converge in the complex domain, raising questions about the physical implications of this behavior. The user seeks additional insights or findings related to this issue, indicating a need for further exploration of the mathematical and physical aspects of VLE in this context.
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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