The GATE Grind

GATE Thermodynamics and Statistical Mechanics: Laws of thermodynamics – Previous Year Questions

12 GATE previous year questions on Laws of thermodynamics (Thermodynamics and Statistical Mechanics, Physics) with answers and explanations, from every paper.

  1. GATE 2022 PH Q17 (1 mark, Multiple choice) – Which relation between internal energy U and Helmholtz free energy F is true?
  2. GATE 2022 PH Q37 (2 marks, Multiple choice) – Water at 300 K can be brought to 320 K using one of the following processes. Process 1: Water is brought in equilibrium with a reservoir at 320 K…
  3. GATE 2022 PH Q47 (2 marks, Multiple select) – A paramagnet obeys dG=-S\,dT-M\,dH. For an infinitesimal adiabatic field change, which statements hold?
  4. GATE 2022 PH Q63 (2 marks, Numerical answer) – One mole of nitrogen is (I) cooled at 1 atm from 300 to 77 K, and (II) liquefied at 77 K. Find entropy-change ratio I/II to one decimal, using Cp=7…
  5. GATE 2023 PH Q11 (1 mark, Multiple choice) – Which one of the following entropy (S) - temperature (T) diagrams CORRECTLY represents the Carnot cycle abcda shown in the P-V diagram?
  6. GATE 2023 PH Q28 (1 mark, Multiple select) – Which of the following is(are) the CORRECT option(s) for the Joule-Thomson effect?
  7. GATE 2023 PH Q65 (2 marks, Numerical answer) – Two identical bodies kept at temperatures 800 K and 200 K act as the hot and the cold reservoirs of an ideal heat engine, respectively. Assume that…
  8. GATE 2026 PH Q17 (1 mark, Multiple choice) – Consider the Otto cycle for an ideal gas engine consisting of two quasistatic adiabatic and two quasistatic isochoric processes. The correct…
  9. GATE 2026 PH Q33 (1 mark, Numerical answer) – The specific heat C p(T) of one mole of a material as a function of temperature T is given as C p(T)=AT+BT3, where A=0.695\ mJ\,mol-1K-2 and B=0.045\…
  10. GATE 2025 PH Q15 (1 mark, Multiple choice) – The Joule-Thomson expansion of a gas is
  11. GATE 2025 PH Q30 (1 mark, Numerical answer) – One mole of an ideal monatomic gas at absolute temperature T undergoes free expansion to double its original volume, so that the entropy change is S…
  12. GATE 2024 PH Q14 (1 mark, Multiple choice) – If a thermodynamical system is adiabatically isolated and experiences a change in volume under an externally applied constant pressure, then the…