N A L A N D A O P E N U N I V E R S I T Y
M.Sc. Chemistry, Part-II
PAPER-XI
(Molecular Thermodynamics)
Annual Examination, 2018
Time 3 Hours. Full Marks 80
Answer any FIVE Questions.
All questions carry equal marks.
1. Derive the expression for the translational partition function of a molecule.
2. Derive the expression for the internal energy and entropy in terms of the partition function.
3. Compare between the macro-canonical ensemble, canonical and the grand canonical ensembles.
4. State and derive the Bose-Einstein statistics.
5. Write notes on any Two of the following
Microscopic reversibility.
Legrange method's of undetermined multiplier.
Specific heat of solids.
Thermodynic reversibility.
6. Entropy production due to heat flow inside the system in irreversible processes. Explain it.
7. Compare between the Maxwell-Boltzmann's, Bose-Einstein's and the Fermi-Dirac' statistics.
8. Describe the Liouville's theorem and its mathematical interpretation.
9. s K B lnW where W is the thermodynamic probability. Derived it K B is Boltzmann's
constant.
10. Short notes on the following
Dulong and Petit's law.
Vibrational partition function.