Q33 · CSIR-NET Chemistry, December 2014

Paper: CSIR-NET December 2014 · Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Partition Functions · Marks: 2 · Difficulty: Medium

When $\mathrm{T} \rightarrow \infty$, value of the single-particle partition function will be (given : degeneracy of level $j=g_{j}$ ) :

(a)1

(b)$\mathrm{g}_{0}$

(c)$\sum_{j}g_{j}$

(d)$1/\sum_{j}g_{j}$

Answer

Answer: C ✓ checked by 4AB · confidence high

The source book printed no answer; this one was worked out and checked — see the explanation.

Explanation

q = Σ g_j e^{−ε_j/kT}; as T → ∞ every exponential → 1, so q → Σ_j g_j (the total number of accessible states).

Study loop for Statistical Thermodynamics