Equilibrium calculations
with evidence.

Each 180-minute class

The 180 minutes include a 10-minute break. This is a teaching sequence, not a calendar or a change to the registered assessment scheme. Independent practice is suggested at 60–90 minutes per session; the optional extensions need additional time.

Session 1 · 180 minutes

VLE and flash calculations

Bubble/dew boundaries and flash are different questions.

Before class: Review chemical potential, fugacity and activity standards in Modules 2–3.

Outcome: Predict a two-phase state, solve it, then check both component balances.

Teaching slides · Slides PDF · Module reference deck

Core labs: 01 · VLE and TP flash · 09 · Virial vapor correction

Optional extension: 07 · Adiabatic flash

Independent task: One baseline and one changed vapor model; report phase, x, y, vapor fraction and balance residual.

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

A small fitting error does not validate the observations.

Before class: Bring T, P, x1, y1 data or use the explicitly synthetic example; obtain Antoine equation forms, units and validity ranges.

Outcome: Separate vapor-pressure inputs, consistency evidence and fitted-model error.

Teaching slides · Slides PDF · Module reference deck

Core labs: 03 · Consistency tests · 08 · Your experimental VLE

Optional extension: 02 · Experimental case study

Independent task: One dataset, at least two activity models, residuals and a justified validity statement.

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 3 · 180 minutes

Liquid stability, LLE and VLLE

Fugacity equality alone does not establish a stable phase split.

Before class: Review gmix, local curvature and the distinction between stationary and globally stable states.

Outcome: Use global Gibbs-energy support to assess candidate liquid phases.

Teaching slides · Slides PDF · Module reference deck

Core labs: 04 · Stability and LLE · 05 · LLE fitting

Optional extension: 06 · VLLE

Independent task: A common-tangent result, one lever-rule check and one limitation of the fitted parameters.

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 4 · 180 minutes

Solid equilibria and adsorption

The relevant equilibrium condition depends on the phases and vessel constraints.

Before class: Review chemical potentials, fusion/sublimation data and absolute versus excess adsorption.

Outcome: Distinguish pure-solid SLE, bulk sublimation and surface adsorption.

Teaching slides · Slides PDF · Module reference deck

Core labs: 10 · SLE and gas–solid equilibrium · 11 · Adsorption

Independent task: Compare a bulk gas–solid result with adsorption; close the appropriate inventory balance and state assumptions.

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 5 · 180 minutes

Chemical equilibrium and routes to K

K is tied to a reaction basis, temperature and standard states.

Before class: Review formation Gibbs energies, reaction enthalpy/entropy and integration of heat capacity.

Outcome: Reconcile independent thermodynamic routes to K and then solve composition.

Teaching slides · Slides PDF · Module reference deck

Core labs: 12 · Chemical equilibrium

Independent task: Compare constant-property and heat-capacity routes; report ln K, Q and one extent/material-balance check.

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 6 · 180 minutes

Electrochemical equilibrium

The Nernst potential expresses the cell reaction driving force.

Before class: Review reaction stoichiometry, ΔrG and dimensionless reaction quotients.

Outcome: Connect balanced half-reactions, activities, potential and Gibbs energy.

Teaching slides · Slides PDF · Module reference deck

Core labs: 13 · Electrochemistry

Independent task: Two concentration-cell states, a reversal check and a reaction-scaling check, with consistent reference electrodes.

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.

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.