Q100 · CSIR-NET Chemistry, June 2015

Paper: CSIR-NET June 2015 · Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Partition Functions · Marks: 2 · Difficulty: Hard

The indistinguishability correction in the Boltzmann formulation is incorporated in the following way: ( N = total number of particles; $\mathrm{f}=$ single-particle partition function)
(a)Replace f by $\mathrm{f} / \mathrm{N}$ !
(b)Replace $\mathrm{f}^{\mathrm{N}}$ by $\mathrm{f}_{\mathrm{N}} / \mathrm{N}$ !
(c)Replace f by $\mathrm{f} / \ln (\mathrm{N}!)$
(d)Replace $\mathrm{f}_{\mathrm{N}}$ by $\mathrm{f}_{\mathrm{N}} / \ln (\mathrm{N}!)$
Answer
Answer: B ✓ checked by 4AB · confidence high
Explanation
For N indistinguishable particles Q = fᴺ/N!, which removes the over-counting of permutations.

Study loop for Statistical Thermodynamics

1. Practise the PYQsPrevious-year questions, with answers

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