Read a phase map as coexistence evidence rather than a heating trace
Keep pressure, temperature, coexistence and endpoint meanings separate.
Learning outcome: Compare350 K at pressures100 and300 kPa, then inspect the triple and critical coordinates. Trace a constant-pressure path below the triple point and describe which boundary it crosses.
Starting recap
Review signed energy transfers, dimensional consistency, reaction coefficients, state functions and phase/structural evidence boundaries.
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Try
The schematic triple point is300 K/100 kPa; the critical endpoint is500 K/800 kPa. A path below triple pressure has no stable liquid region in this map.
Open the experimentPredict
Does crossing a liquid–gas coexistence line mean the material changed chemical identity?
Experiment
Compare350 K at pressures100 and300 kPa, then inspect the triple and critical coordinates. Trace a constant-pressure path below the triple point and describe which boundary it crosses.
Interpret a declared pressure-temperature phase map
Worked teaching model · synthetic values · Original schematic substance: triple(300 K,100 kPa), critical(500 K,800 kPa). Sublimation P=100 exp((T−300)/40) below triple; vaporization P=100 exp(ln8(T−300)/200) up to critical; fusion T=300+.020(P−100) above triple. Positive fusion slope. Not any real substance or a practical operating map.
Reset keeps your prediction, captures and practice history.
Axes rescale. On the phase map, short dashes show solid–gas coexistence, long dashes liquid–gas and the solid line solid–liquid; the dot is the selected state. In the Hess diagram, the dashed line is the independent direct packet. A heating plot follows supplied energy, not elapsed time.
Numerical diagram coordinates
| temperature (K) | pressure (kPa) |
|---|---|
| 350 | 300 |
| temperature (K) | pressure (kPa) |
|---|---|
| 250 | 28.65048 |
| 255 | 32.46525 |
| 260 | 36.78794 |
| 265 | 41.6862 |
| 270 | 47.23666 |
| 275 | 53.52614 |
| 280 | 60.65307 |
| 285 | 68.72893 |
| 290 | 77.88008 |
| 295 | 88.24969 |
| 300 | 100 |
| temperature (K) | pressure (kPa) |
|---|---|
| 300 | 100 |
| 305 | 105.3361 |
| 310 | 110.9569 |
| 315 | 116.8777 |
| 320 | 123.1144 |
| 325 | 129.684 |
| 330 | 136.604 |
| 335 | 143.8934 |
| 340 | 151.5717 |
| 345 | 159.6597 |
| 350 | 168.1793 |
| 355 | 177.1535 |
| 360 | 186.6066 |
| 365 | 196.5641 |
| 370 | 207.053 |
| 375 | 218.1015 |
| 380 | 229.7397 |
| 385 | 241.9988 |
| 390 | 254.9121 |
| 395 | 268.5145 |
| 400 | 282.8427 |
| 405 | 297.9355 |
| 410 | 313.8336 |
| 415 | 330.5801 |
| 420 | 348.2202 |
| 425 | 366.8016 |
| 430 | 386.3745 |
| 435 | 406.9919 |
| 440 | 428.7094 |
| 445 | 451.5858 |
| 450 | 475.6828 |
| 455 | 501.0658 |
| 460 | 527.8032 |
| 465 | 555.9673 |
| 470 | 585.6343 |
| 475 | 616.8843 |
| 480 | 649.8019 |
| 485 | 684.476 |
| 490 | 721.0004 |
| 495 | 759.4737 |
| 500 | 800 |
| temperature (K) | pressure (kPa) |
|---|---|
| 300 | 100 |
| 301 | 150 |
| 302 | 200 |
| 303 | 250 |
| 304 | 300 |
| 305 | 350 |
| 306 | 400 |
| 307 | 450 |
| 308 | 500 |
| 309 | 550 |
| 310 | 600 |
| 311 | 650 |
| 312 | 700 |
| 313 | 750 |
| 314 | 800 |
| 315 | 850 |
| 316 | 900 |
| 317 | 950 |
| 318 | 1000 |
| Quantity | Value | Unit |
|---|---|---|
| Selected temperature | 350 | K |
| Selected pressure | 300 | kPa |
| Phase code | 2 | 1 solid,2 liquid,3 gas,4 single fluid,5 boundary,6 triple,7 critical |
| Triple temperature | 300 | K |
| Triple pressure | 100 | kPa |
| Critical temperature | 500 | K |
| Critical pressure | 800 | kPa |
liquid
A line denotes coexistence under this schematic model, not a finite region of one phase. Below the triple pressure no stable liquid occurs in the represented path. Beyond the critical endpoint liquid and gas cease to be distinct phases. The positive fusion slope is not universal; water is a familiar counterexample. No actual operating range is implied.
Retain the system, phase and structural assumptions with every number. Supplied or calculated evidence is not actual calorimetry, chemical handling or X-ray operation.
liquid
A line denotes coexistence under this schematic model, not a finite region of one phase. Below the triple pressure no stable liquid occurs in the represented path. Beyond the critical endpoint liquid and gas cease to be distinct phases. The positive fusion slope is not universal; water is a familiar counterexample. No actual operating range is implied.
Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.
Understand
Apply
Public practice checks a specific claim. It does not establish independent mastery.
Why can this original phase map not be used as an operating chart for a named substance?
Continue
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