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Water Phase Diagram: Mathematically Modeling and Validating
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[QUOTE="DLawless, post: 6400550, member: 682471"] Many other diagrams show a line, e.g. [URL]https://uh.edu/~jbutler/physical/chapter6notes.html[/URL], [URL]https://scholar.harvard.edu/files/schwartz/files/9-phases.pdf[/URL]. I saw the diagram you mentioned too. I would like to know the [B]mathematical model [/B]that leads to either of these. It doesn't appear to be constant ΔH and ΔV_m since neither the shape in the diagram you linked, nor a straight line, corresponds well to $$P = P_0 + \frac{\Delta H}{\Delta V_m} \rm{ln} \frac{T}{T_0}$$ which is the result from integrating Clapeyron equation. (T0,P0) can be any known point, e.g. (273.15 K, 1 atm) for water solidus Yet all the problems/examples one finds online seems to treat ΔH and ΔV_m as constant. If it is valid to do so I would like to know how the boundary can have the shape we see on the diagrams. [/QUOTE]
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Water Phase Diagram: Mathematically Modeling and Validating
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