The GATE Grind

GATE Physical Chemistry: Statistical Thermodynamics: Micro-canonical, Canonical and Grand canonical ensembles, Boltzmann distribution, Partition functions and thermodynamic properties. Statistical mechanics of non-interacting systems, ideal monoatomic, diatomic gases, translational, rotational, vibrational and electronic partition functions. – Previous Year Questions

6 GATE previous year questions on Statistical Thermodynamics: Micro-canonical, Canonical and Grand canonical ensembles, Boltzmann distribution, Partition functions and thermodynamic properties. Statistical mechanics of non-interacting systems, ideal monoatomic, diatomic gases, translational, rotational, vibrational and electronic partition functions. (Physical Chemistry, Chemistry) with answers and explanations, from every paper.

  1. GATE 2026 CY Q62 (2 marks, Numerical answer) – The translational partition function of H2 in a 1 L vessel at 300 K is y1027. The value of y (one decimal place) is . Given H mass 1.008 amu; 1 amu =…
  2. GATE 2025 CY Q20 (1 mark, Multiple choice) – The translational, vibrational, and rotational molecular partition functions for a system containing ideal diatomic gas molecules in the canonical…
  3. GATE 2025 CY Q47 (2 marks, Multiple select) – An approximate partition function Q(N,V,T) of a gas is given below. Q(N,V,T)=1N!(2 mk BTh2)3N/2(V-Nb)N. The equation of state(s) for this gas is/are…
  4. GATE 2025 CY Q62 (2 marks, Numerical answer) – The mean energy of a molecule having two available energy states at =0 J and =4.1410-21 J at 300 K is 10-21 J (rounded off to two decimal places).…
  5. GATE 2024 CY Q28 (1 mark, Multiple select) – The correct statement(s) related to an ensemble is (are):
  6. GATE 2024 CY Q47 (2 marks, Multiple choice) – If q t and Q t,m are the molecular and molar translational partition functions of X 2, respectively, then (Q t,m)= (N is the Avogadro number)