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GATE Metallurgical Thermodynamics: Phase equilibria and phase diagrams – Previous Year Questions

11 GATE previous year questions on Phase equilibria and phase diagrams (Metallurgical Thermodynamics, Metallurgical Engineering) with answers and explanations, from every paper.

  1. GATE 2021 MT Q32 (1 mark, Numerical answer) – Steel containing 0.6 wt.% C is cooled slowly from 900 °C to room temperature. The proeutectoid ferrite fraction is (two decimal places). Given…
  2. GATE 2021 MT Q39 (2 marks, Multiple choice) – The number of degrees of freedom for M(s)+CO 2(g) MO(s)+CO(g) is .
  3. GATE 2021 MT Q40 (2 marks, Multiple choice) – Which condition gives the binary A–B phase diagram shown? H mixsolid and H mixliquid denote solid and liquid mixing enthalpies.
  4. GATE 2022 MT Q65 (2 marks, Numerical answer) – The equilibrium microstructure of an alloy A-B consists of two phases α and β in the molar proportion 2:1. If the overall composition of the alloy is…
  5. GATE 2023 MT Q11 (1 mark, Multiple choice) – At one atmosphere, -Fe transforms to -Fe above 912 °C. The density of -Fe exceeds that of -Fe. Choose the correct statement.
  6. GATE 2023 MT Q32 (1 mark, Numerical answer) – Maximum number of phases that can be in equilibrium for a 5-component system at constant temperature and pressure is (in integer).
  7. GATE 2023 MT Q61 (2 marks, Numerical answer) – The alloy A (given in the phase diagram) is cooled slowly from the liquid state to just below the eutectic temperature. The ratio of weight fractions…
  8. GATE 2024 MT Q61 (2 marks, Numerical answer) – An 800 g A–B alloy containing 20 wt.% B is held at T 1 in the shown phase diagram. The mass of B dissolved in α is g (nearest integer).
  9. GATE 2025 MT Q23 (1 mark, Multiple choice) – In the Fe–C system, the invariant reaction Liquid+ takes place at 1493 °C. This reaction is called .
  10. GATE 2025 MT Q37 (2 marks, Multiple choice) – Consider the phase diagram of a one-component system. V , V , and V Liquid are the molar volumes of the α, β, and liquid phases, respectively. Which…
  11. GATE 2026 MT Q34 (1 mark, Numerical answer) – For an equilibrium phase diagram of a binary A-B alloy at a constant pressure as shown in the figure, the degree of freedom at ‘X’ is (answer in…