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GATE 2022 CY – Question 32

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. · 1 mark · Multiple select

The parameter(s) fixed for each system in a canonical ensemble is(are)

  1. temperature
  2. pressure
  3. volume
  4. composition

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Correct answer: (A) temperature; (C) volume; (D) composition

Explanation

The canonical ensemble represents systems with fixed particle numbers/composition N, volume V and temperature T, while energy may fluctuate through heat exchange. Pressure is an outcome and need not be fixed.

Thus **temperature, volume, composition: A, C, D**.