The GATE Grind

GATE Metallurgical Thermodynamics: Thermodynamic laws and functions – Previous Year Questions

12 GATE previous year questions on Thermodynamic laws and functions (Metallurgical Thermodynamics, Metallurgical Engineering) with answers and explanations, from every paper.

  1. GATE 2021 MT Q27 (1 mark, Numerical answer) – Copper melts at 1358 K with melting enthalpy 13400 J/mol. Its liquid-to-solid free-energy change at 1058 K is J/mol (nearest integer). Assume C…
  2. GATE 2021 MT Q54 (2 marks, Numerical answer) – One mole of ideal gas at 10 atm and 300 K expands reversibly and adiabatically to 1 atm. Work done by the gas is J (nearest integer). Given R=8.314 J…
  3. GATE 2021 MT Q55 (2 marks, Numerical answer) – The figure shows the entropy versus temperature plot of a reversible engine cycle. For T 1=200 K and T 2=600 K, its efficiency is % (two decimal…
  4. GATE 2022 MT Q47 (2 marks, Numerical answer) – A gas bubble of radius 0.01 mm is trapped in molten steel at 1773 K. External pressure is 1.5 bar and surface tension at this temperature is 1.4 N/m.…
  5. GATE 2022 MT Q57 (2 marks, Numerical answer) – Assuming Dulong–Petit for a monoatomic solid, C p/C v at 500 K is (three decimal places). Given molar volume 710-6 m3/mol, isothermal compressibility…
  6. GATE 2023 MT Q36 (2 marks, Multiple choice) – Let S,T,P,V denote entropy, temperature, pressure, and volume. Match Column I to the natural variables in Column II. Column I: A. Gibbs free energy B.…
  7. GATE 2024 MT Q29 (1 mark, Multiple select) – Which of the following is/are criterion/criteria for equilibrium of an isolated system held at constant temperature and constant pressure?
  8. GATE 2025 MT Q12 (1 mark, Multiple choice) – For an isobaric process, the heat transferred is equal to the change in of the system.
  9. GATE 2026 MT Q20 (1 mark, Multiple choice) – Which one of the following is NOT a state function?
  10. GATE 2026 MT Q30 (1 mark, Multiple select) – Choose the correct option(s). Here ‘A’ is the Helmholtz free energy and ‘G’ is the Gibbs free energy.
  11. GATE 2026 MT Q54 (2 marks, Numerical answer) – 2 moles of an ideal gas is reversibly expanded from 10 liter to 20 liter at isothermal condition. The value of universal gas constant R is 8.314…
  12. GATE 2026 MT Q55 (2 marks, Numerical answer) – The constant-pressure molar heat capacity of a solid metal is C p=20+(510-3)T\ J/(mol\,K) for 298 T1000\ K. At constant pressure, the temperature of 2…