Effect of Peng−Robinson Binary Interaction Parameters on the Predicted Multiphase Behavior of Selected Binary Systems
Bibliographic record
Abstract
The ability of the Peng−Robinson equation of state (PR EOS) to calculate the high-pressure, multiphase behavior of select binary systems has been examined using K- and L-points (also referred to as critical end points) in phase space as key landmarks and adjusting the attractive term binary interaction parameter (δ 12 ). The ethane + ethanol system showed a transition from type II behavior to type III behavior as δ 12 increased, but the type V phase behavior exhibited experimentally could not be calculated with any value of δ 12 . The equation of state incorrectly calculated type V phase behavior for the methane + n -pentane system, which experimentally shows type I behavior. The type V behavior of the methane + n -hexane system was qualitatively calculated with δ 12 = 0.014 giving the best fit to the experimental L-point while the type V behavior of the methane + n -heptane system was calculated, but the three-phase line failed to extend below the experimental four-phase point temperature and pressure (which experimentally masks the L-point). The propane + fluorene and propane + anthracene binaries showed type V behavior with a three-phase line extending below the experimental four-phase point pressure and temperature with δ 12 = −0.05 and δ 12 = 0.01, respectively. Calculations with the propane + triphenylmethane binary showed that a constant binary interaction parameter could not produce a three-phase line extending below the four-phase point, suggesting a limitation of the PR EOS to model this system’s multiphase fluid−solid behavior.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".