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21-Mat-A1 Thermodynamics: May 2015

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 First-Law Bookkeeping for a Monatomic Ideal Gas — Isobaric–Isochoric–Isothermal Cycle
  2. Question 2 The Reversible Adiabatic (Isentropic) Ideal-Gas Process
  3. Question 3 Temperature Dependence of ΔS° — CO Oxidation at 500 K
  4. Question 4 Adiabatic Flame Temperature of Acetylene — Oxygen vs. Air
  5. Question 5 Gibbs Energy of Mixing Ideal Gases
  6. Question 6 Gas-Phase Dissociation Equilibria — O₂⇌2O and H₂+½O₂⇌H₂O
  7. Question 7 Reading the Ellingham Diagram — Cu/Cu₂O, Cr/Cr₂O₃ and Ti/TiO₂ Equilibria

Start with Question 1 →

National Exams — May 2015 — 10-Met-A1 Metallurgical Thermodynamics. Three-hour, closed-book exam using an approved (Casio or Sharp) calculator; candidates were told to state any interpretive assumptions. Any five of the seven questions constitute a complete paper — all seven are solved below for completeness. All questions are of equal value (20 marks each out of 100).

Reference texts: Gaskell, D. R., Introduction to the Thermodynamics of Materials (2nd–5th ed.) — the exam's own Ellingham diagram (Fig. 9-3) is reproduced from this text, which also supplies the standard-state enthalpy/entropy data used below; supporting 298 K entropies for the elements, CO, CO₂, H₂, H₂O(g) and Cu₂O/Cr₂O₃/TiO₂/SiO₂ from the NIST–JANAF Thermochemical Tables.