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21-Mat-A1 Thermodynamics: December 2015

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

  1. Question 1 First-Law Bookkeeping for a Monatomic Ideal Gas — Two Paths, Same Endpoints
  2. Question 2 The Reversible Adiabatic (Isentropic) Ideal-Gas Process
  3. Question 3 Entropy and Enthalpy of Heating Through Two Phase Transitions
  4. Question 4 Adiabatic Flame Temperature of Acetylene — Pure Oxygen vs. Air
  5. Question 5 Heats of Combustion of Four Fuels, Per Mole and Per Unit Mass
  6. Question 6 Galvanic Cell Thermodynamics — Zn/Cu²⁺ and the Nernst Equation
  7. Question 7 Reading the Ellingham Diagram — Al/Al₂O₃ Equilibria and the Ca–MgO Reduction

Start with Question 1 →

National Exams — December 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 298 K enthalpy/entropy data used in Question 7; supporting 298 K entropies for CO(g), CO₂(g), H₂(g) and H₂O(g) from the NIST–JANAF Thermochemical Tables.