Six core sessions · Week 7 review workshop
Equilibrium calculations
with evidence.
Each 3-hour session centers on a guiding question and core Lab investigations. Sessions 1 and 6 use classroom teaching. Sessions 2–5 are independent lessons with narrated videos, calculations and Lab practice. Week 5 replaces the class on 6 November; onsite teaching resumes on 13 November. Sessions 2–3 replace holiday classes; Session 4 replaces class while the instructor attends the ECS meeting. Session 2 introduces experimental VLE and fitting; Session 3 tests thermodynamic consistency before liquid stability and LLE. Week 7 brings those topics together in a problem workshop. Appendices and optional Labs support further study.
Standard classroom sessions: 1 and 6
| Activity | Minutes |
|---|---|
| Opening question and essential concepts | 30 |
| One hand calculation | 20 |
| One lab demonstration | 20 |
| Break | 10 |
| Student pair investigation | 70 |
| Discussion, exit ticket and feedback | 30 |
For Sessions 1 and 6, the 180 minutes include a 10-minute break. The final 30 minutes are discussion (20), an individual exit ticket (5), feedback (3), and closing (2). These classroom sessions also use 45–60 minutes of independent practice: 15–20 minutes preparing before class and 30–40 minutes of follow-up, including one hand checkpoint. Sessions 2–5 instead follow their own independent-lesson schedules, with all required work inside the planned lesson and optional background reading. Optional extensions take additional time. Follow the instructor’s announced assessment arrangements.
Session 1 · 180 minutes
VLE and flash calculations
Main question: How does pressure change the phase split at fixed temperature?
Before class · 15–20 minutes: Read the 3-page PDF. Read the P-x-y example and bring a phase prediction at 110 kPa. Prepare the three short questions on page 3.
Before leaving: Exit ticket + feedback · 8 minutes. Answer individually and wait for the submission receipt. No name, ID or email is requested. Internet is required.
Outcome: Predict a two-phase state, solve it, then check both component balances.
Classroom slides · 12 pages · Slides PDF · Module reference deck
Required lab: 01 · VLE and TP flash
Optional extension: 09 · Virial vapor correction · 07 · Adiabatic flash
Assessment and independent checkpoint
Follow-up practice · 30–40 minutes: In Lab 01, save one ideal two-phase baseline and one changed pressure at the same T and z. Predict the change, report phase amounts and check one component balance by hand.
Optional practice: Choose one extension: compare liquid activity models, examine zero versus nonzero virial coefficients in Lab 09, or add the energy balance in Lab 07.
Submit or retain a brief explanation with the exported inputs/results, one comparison table or plot, and a check you calculated independently. Follow the instructor’s announced submission arrangements; this site does not collect assignments.
Session 2 · 180 minutes
Experimental VLE, consistency and fitting
Main question: Does a small fitting error mean the data and model are trustworthy?
Start here · approximately three-hour independent lesson: Open the narrated video lesson and English worksheet · 4 pages. Pause to complete the calculations and Lab tasks before each solution. Narration is only part of the lesson; the schedule includes your work and the break.
Optional background: Read the 3-page PDF. This is optional background. Start with the lesson instructions; no prior knowledge of activity coefficients or real dataset is required.
At 172–180 minutes: Exit ticket + feedback · 8 minutes. Answer individually and wait for the submission receipt. No name, ID or email is requested. Internet is required. This anonymous form does not identify attendance.
Week 2 follow-up: Clarification slides · Three-page Lab 08 guide. Session 3 is a 180-minute independent holiday lesson. Its first 15 minutes review Week 2; consistency tests in Lab 03 then come before stability and LLE in Lab 04. Use the Lab 08 guide for units, CSV, saved studies and model evidence. No repeat Session 2 attendance submission is required.
Outcome: Separate vapor-pressure inputs, consistency evidence and fitted-model error.
Independent-study slides · 28 pages · Slides PDF · Module reference deck
Required lab: 08 · Your experimental VLE
Optional extension: 02 · Experimental case study
Optional assessment and further practice
Work within the planned lesson: Complete worksheet pages 1–4: phase and material-balance checks, activity and Antoine calculations, the Lab 08 baseline and independent property check, two model fits, interpretation, and your own Q1–Q6 review-test attempt. Submit it in the attendance form, then view the worked solutions and optionally submit corrections. Keep the baseline and both model exports. These activities, the break, exit ticket and feedback are included in the 180-minute lesson; there is no additional compulsory follow-up.
Optional practice: Choose one extension: the published case study in Lab 02, a fixed held-out comparison, bootstrap fit spread, or your own sourced VLE data. Exact synthetic bootstrap spread does not quantify real measurement uncertainty. Controlled consistency tests in Lab 03 are core work in Session 3.
Submit for attendance · before viewing review solutions: Submit the Session 2 review test. Enter your student ID and name, transfer your own worksheet page 4 answers Q1–Q6 with calculations, and confirm completion. Submit your original attempt before Slide 26. Wait for the receipt and save it; the form then displays worked solutions. Review them and optionally submit corrections within the review block (145–172 study minutes). Attendance credit is for completing the activity, not a minimum accuracy score. Keep all four worksheet pages and the Lab exports. Then complete the separate anonymous feedback form above.
Session 3 · 180 minutes
Thermodynamic consistency, liquid stability and LLE
Main question: What evidence supports consistent VLE data, and what additional evidence supports a stable liquid split?
Start here · approximately three-hour independent lesson: Open the narrated video lesson and English worksheet · 6 pages. Pause to complete the calculations and Lab tasks before each solution. Narration is only part of the lesson; the schedule includes your work and the break.
Lab 03 and Lab 04 guide · 4 pages · Worked solutions · open after your attempt
Optional background: Optional background PDF · 3 pages. Open the study guide, narrated lesson, worksheet and Lab guide. Follow the main activity checkpoints, attempt each problem before its solution, and continue when the required output is ready. The video and slides are alternative presentations of the same lesson. Suggested study times are planning estimates, not minimum waiting periods or measured student completion times. No prior compulsory reading is needed.
Planning guide: Plan approximately three hours, with fixed budgets of 115 minutes of calculation, investigation and reflection plus a 10-minute break. The video page reports the recording’s actual measured duration and its sum with those budgets. These are planning estimates, not measured student working times. Use ten work checkpoints plus a break. At slide 34, pause 3 minutes for G1 predictions before the complete Lab 04 demonstration on slide 35; then use the 25-minute pause at slide 36 to rerun G2–G4 independently. Continue when the specified output is ready rather than waiting for a timer.
Your 180-minute route
| Study minutes | Activity | Open and complete |
|---|---|---|
| 0–15 | A · Review VLE and model evidence | Open the lesson and worksheet p. 1, A1–A3. Output: definitions, one checked activity calculation and a fit-versus-consistency statement. |
| 15–40 | B · Gibbs–Duhem and the experimental path | Worksheet p. 1, B1–B3; Lab guide p. 1. Output: the slope relationship, path assumptions and a missing-information decision. |
| 40–65 | C · Area and local-residual calculations | Worksheet p. 2, C1–C6; Lab guide p. 1. Output: signed areas, the worked local example, your independent local residual and a numerical caveat. |
| 65–95 | D–E · Lab 03 demonstration and investigation | Lab 03; worksheet p. 3, D1–D5 and E1–E2; guide pp. 2–3. Output: two predictions, clean/canceling/localized comparison, localized 41-versus-161-point check, one clean 41-point fit and an annotated plot with a claim and limitation. |
| 95–105 | Break | Save your work and take a 10-minute break. |
| 105–155 | F–G · Homogeneous stability and final LLE | Lab 04; worksheet pp. 4–5, F1–F3 and G1–G4; guide p. 4. Output: predictions/results for A = 3 with z = 0.02, 0.12 and 0.50; balances for z = 0.12 and 0.50; and a tangent/energy explanation. |
| 155–170 | H · Unseen-case review | Worksheet p. 6, H1–H4. Attempt the new local-residual, applicability, phase-amount and combined-evidence cases before opening solutions. Keep your original answers and corrections. |
| 170–180 | I · Exit ticket, feedback and saved work | Worksheet p. 6, I; existing Session 3 form. Output: LLE concept answer, consistency evidence, actual minutes spent and pace feedback; wait for the receipt and retain your files. |
At 170–180 minutes: Exit ticket + feedback · 10 minutes. Answer individually and wait for the submission receipt. No name, ID or email is requested. Internet is required. This anonymous form does not identify attendance.
Outcome: Use hand calculations and controlled Lab 03 comparisons to interpret consistency evidence, then distinguish stable, metastable and unstable homogeneous feeds from the final liquid equilibrium.
Independent-study slides · Slides PDF · Module reference deck
Required labs: 03 · Consistency tests · 04 · Stability and LLE
Optional extension: 05 · LLE fitting · 06 · VLLE
Lesson tasks and evidence checklist
Work within the planned lesson: Complete worksheet sections A–I. Retain a VLE retrieval calculation; Gibbs–Duhem path assumptions; hand area and local-residual calculations; predictions and a Lab 03 comparison including 41 versus 161 points; one clean-reference model fit; an explanation of diagnostic disagreement; a Lab 04 comparison of stable, metastable and unstable homogeneous feeds with their final equilibria; an independent phase-amount balance; and your own unseen-case review attempt with corrections. Finish the existing exit ticket and feedback. These are the required outputs in the planned 180-minute route; there is no additional compulsory follow-up.
Optional practice: After completing the core lesson, optional extensions include NRTL tie-line fitting in Lab 05, paired bootstrap from independent replicates, or feasible three-phase amounts in Lab 06. A paper exercise connects tangent intercepts to partial molar properties in the appendix. These are not required in the 180-minute lesson.
Complete and retain: At minutes 155–170, attempt the unseen-case review in section H before checking the worked solutions; retain the first attempt and corrections. At 170–180, use the existing Session 3 exit form: answer its LLE concept question and include consistency-test evidence. In the existing feedback text, report the minutes you actually spent and whether the pace felt too fast, suitable or too slow. Submit once, wait for the receipt and save your work. The anonymous form does not identify attendance.
Session 4 · Approximately three hours
Solid equilibria and adsorption
Main question: How do phase presence, surface uptake and vessel constraints determine equilibrium pressure?
Start here: Watch the integrated Week 4 video from the beginning. The opening answers your Week 3 questions. Pause for four minutes at Opening 13 for R1-R3, then continue to the main lesson. The written opening is an alternative or reference, not extra required reading. Keep the six-page worksheet beside the video. A-G and I are required; H1-H4 is optional.
Open the Lab 10 and Lab 11 guide only when a step names its pages. Use the worked solutions after your attempt.
Independent lesson: This replaces class while the instructor attends the ECS meeting. Video and slides present the same main lesson. Background reading is optional; no prior compulsory reading is needed.
Planning guide: The combined recording is 73 minutes 47 seconds, including 16 minutes 00 seconds of opening narration. Add 4 minutes for R1-R3, 100 minutes for core calculations, Labs and reflection, and a 10-minute break: about 187.8 minutes if you watch the full recording. The opening plus its notebook pause takes about 20.0 minutes; it is already included in this total. Skipping the optional H recording shortens the lesson. These are planning budgets, not measured student completion times; record your actual study minutes.
Your nominal study route
| Planned study time | Block | Open, do and retain |
|---|---|---|
| 0-20 min | R · Your Week 3 questions, answered first | Watch Opening 01-14: D, r, Van Ness, Gibbs curves and phase amounts. Pause for 4 minutes at Opening 13 to write R1-R3 in your notebook, then watch the check. The written companion is an alternative or reference, not extra required reading. No new export or form is required. |
| 20-45 min | A-B · Processes, constraints and solubility | After Opening 14, the video continues to core slide 1. Worksheet p. 1, A1-A3/B1-B2. Pause 8 minutes at slide 4 and 6 at slide 8. Keep process classifications, constraints and a saturated-liquid composition calculation. |
| 45-65 min | C · Finite-inventory GSE | Worksheet p. 2, C1-C3. Pause 10 minutes at slide 13 before the check. Keep capacity, gas/solid amounts, partial and total pressure, and the phase-presence condition. |
| 65-105 min | D · Lab 10 prediction and investigation | Worksheet p. 3, D1-D4; open guide pp. 1-2 now. Predict for 5 minutes at slide 15, watch the demonstration at slide 16, then rerun for 22 minutes at slide 18. Keep three cases, a balance and an annotated plot. |
| 105-115 min | Break | Save your work. Take the 10-minute break at slide 20. |
| 115-140 min | E-F · Uptake and vessel predictions | Worksheet p. 4, E1-E3/F1-F3; guide p. 3. Pause 10 minutes at slide 25 and 5 at slide 29. Calculate Henry/Langmuir uptake and predict the vessel responses. |
| 140-170 min | G · Lab 11 demonstration and investigation | Watch slide 30. Worksheet p. 5, G1-G4; guide pp. 3-4. Pause 24 minutes at slide 32. Compare three cases, verify gas-plus-adsorbed balances and reopen a saved study. Slides 35-38 introduce optional H work; use the player link to skip to slide 39. |
| 170-180 min | I · Exit ticket and feedback | Worksheet p. 6, I. Use the existing Session 4 form at slide 39. Include evidence from both Labs and actual study minutes. Submit once and verify the receipt at slide 40. |
Final checkpoint: Session 4 exit ticket and feedback · 10 minutes. Answer individually and wait for the receipt. Internet is required. No name, ID or email is requested.
Outcome: Interpret consistency and stability evidence, then distinguish pure-solid solubility, finite-inventory sublimation and surface adsorption; independently close gas-solid and gas-adsorbed inventory balances.
Complete video slides (opening + core) · Core slides · reference, 40 pages · Core slide PDF · reference · Module reference deck · Optional session appendix
Required labs: 10 · SLE and gas-solid equilibrium · 11 · Adsorption
Lesson tasks and evidence checklist
Work within the planned lesson: Watch Opening 01-14 at the start of the integrated video. Pause for four minutes at Opening 13 to write R1-R3 in your notebook; check at Opening 14. The written opening is an alternative or reference, not another required activity. Then complete A1-A3 and B1-B2 on worksheet p. 1; C1-C3 on p. 2; D1-D4 on p. 3 using Lab 10; E1-E3 and F1-F3 on p. 4; G1-G4 on p. 5 using Lab 11; and I on p. 6. Write predictions before the demonstrations on slides 16 and 30. Independently rerun the three prescribed cases in each Lab, calculate balances and reopen a saved study. H1-H4 on p. 6 is optional; use the player link to skip optional slides 35-38 and continue to slide 39. The opening replaces the former required H work.
Optional practice: H1-H4 on worksheet p. 6 is optional transfer practice; allow about 20 additional minutes if you choose it, attempt it before the solutions and keep corrections. Further optional extensions include a binary SLE/eutectic comparison in Lab 10, Freundlich/BET model windows, adsorption-data fitting or isosteric heat in Lab 11. Paper exercises on Henry gas solubility and dilute-solution osmosis remain in the appendix.
Complete and retain: At the final 10-minute checkpoint, complete the existing Session 4 exit ticket and feedback: explain finite-inventory GSE, include Lab 10 and Lab 11 numerical evidence, and report actual study minutes and pacing. Submit once at slide 39, wait for the receipt and verify it at slide 40. Keep R1-R3 with your worksheet. There is no repeat Week 3 submission or additional form. The anonymous form does not identify attendance.
Week 5 · Independent lesson · Friday 6 November 2026
Chemical equilibrium and routes to K
No in-person class on 6 November. Follow the video, worksheet and Lab 12 at your own pace within the planned approximately three-hour lesson. We return onsite on Friday 13 November; bring your unresolved questions.
Start here: instructions and activity schedule · Narrated video and Lab 12 demonstrations · Worksheet · 6 pages
Main question: Why can equilibrium composition change while K stays the same?
Start with the brief answers to Week 4 questions about partial pressure, adsorption and independent balance checks. Then use one synthetic A2 ⇌ 2A example to calculate K from Gibbs energy and enthalpy/entropy, solve for extent, and compare pressure and temperature changes.
Required Lab: Lab 12 · Chemical equilibrium. Use the two-page control guide when instructed. Attempt each worksheet question before the worked solutions. The real-interface demonstrations are in video chapters 20, 22 and 30.
Lesson slides · 32 slides · Slide PDF · Optional background reading · Optional appendix
One required worksheet: complete R, A-F and G within the lesson. Record the 350 K/100 kPa baseline, 350 K/400 kPa pressure case and 400 K/100 kPa constant-enthalpy case. Set ΔCp°=0 and select the named K source. Check atom conservation and Q=K independently, save the three calculator exports and restore one. No extra preparation or follow-up assignment is required.
Use the pause budgets as a guide. If a step remains unresolved at the end of its budget, record the sticking point and continue. The video page reports the measured recording duration plus the 128-minute work budget and 10-minute break. Report your actual study time, not the planned total.
Final 10-minute checkpoint: Session 5 exit ticket and feedback. Include numerical evidence and an unresolved question if needed. Submit once and wait for “Response received.” This anonymous form does not identify individual attendance.
Week 5 evidence checklist. Keep your worksheet, first attempts, corrections and exported cases for the onsite discussion.
Session 6 · 180 minutes
Electrochemical equilibrium
Onsite class, Friday 13 November 2026. We begin with questions from the Week 5 exit tickets and feedback. We then review Weeks 2–5 before using the Nernst equation to calculate a cell potential.
Main question: What determines the sign of a concentration-cell potential?
Before class · 15–20 minutes: Read the 3-page PDF. Balance the cell reaction and predict the potential sign before using Nernst. Prepare the three short questions on page 3.
Before leaving: Exit ticket + feedback · 8 minutes. Answer individually and wait for the submission receipt. No name, ID or email is requested. Internet is required.
Outcome: Connect balanced half-reactions, activities, potential and Gibbs energy.
Classroom slides · Slides PDF · Module reference deck
Required lab: 13 · Electrochemistry
Assessment and independent checkpoint
Follow-up practice · 30–40 minutes: In Lab 13, compare a concentration cell with the activities exchanged. Predict and explain the sign of E, then independently check deltaG=−nFE.
Optional practice: Choose one extension: scale the balanced reaction and electron count, examine activity corrections within the supported model, or explain why equilibrium voltage differs from voltage under load.
Submit or retain a brief explanation with the exported inputs/results, one comparison table or plot, and a check you calculated independently. Follow the instructor’s announced submission arrangements; this site does not collect assignments.
Week 7 · 180-minute review workshop
Which equilibrium model fits the evidence?
Start with a question from Week 6. Then work in pairs. Predict a result, calculate it, and check it against a Lab. Keep your calculation and the units so another pair can reproduce it.
Open workshop slides · Slide PDF
- Compare phase amounts in Lab 01 (flash) and Lab 04 (two liquids). Reconstruct the overall feed composition from the two phases.
- Use a gas inventory balance to check a closed vessel in Lab 11 (adsorption).
- Predict the sign of the cell potential in Lab 13 (electrochemistry), then change one condition and compare results with another pair.
Final 8 minutes. Open the Week 7 exit ticket and after-midterm feedback survey. Use 5 minutes for one result from today's workshop, its meaning, and a check or limitation. Use 3 minutes to give feedback on all seven weeks since the midterm, including the pace, the learning resource that helped most, and one thing to keep or change.
Evidence checklist
- Reproducible inputs: component order, equation form, units, temperature, source and standard states.
- Controlled comparison: identify what changed and what was held fixed.
- Verification: report a balance, residual, limiting case or independent calculation.
- Interpretation: explain the physical direction and the domain where the conclusion is supported.
These are feedback criteria, not announced grading weights. A small residual is not evidence that the chosen physical model is valid.
Implementation boundaries
Lab 08 uses ideal vapor for experimental VLE fitting. Lab 09 compares ideal and second-virial vapor descriptions; PR/SRK are discussed in the reference slides but are not implemented as lab solvers. Lab 07 uses synthetic caloric data. Lab 12 solves one neutral ideal-gas reaction extent. Lab 13 predicts reversible equilibrium potentials with zero junction potential, not operating cell voltage.