Q107 · CSIR NET Chemistry, December 2012
Paper: CSIR NET December 2012 · Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Partition Functions · Marks: 2 · Difficulty: Easy
The rotational partition function of $\mathrm{H}_{2}$ is :
(a)$\sum_{\mathrm{J}=0,1,2 \ldots}(2 \mathrm{J}+1) \mathrm{e}^{-\beta \mathrm{hcBJ}(\mathrm{J}+1)}$
(b)$\sum_{\mathrm{J}=1,3,5 \ldots}(2 \mathrm{J}+1) \mathrm{e}^{-\beta \mathrm{hcBJ}(\mathrm{J}+1)}$
(c)$\sum_{\mathrm{J}=0,2,4 \ldots}(2 \mathrm{J}+1) \mathrm{e}^{-\beta \mathrm{hcBJ}(\mathrm{J}+1)}$
(d)$\frac{1}{4}\left[\sum_{\mathrm{J}=0,2,4 \ldots}(2 \mathrm{J}+1) \mathrm{e}^{-\beta \mathrm{hcBJ}(\mathrm{J}+1)}+3 \sum_{\mathrm{J}=1,3,5 \ldots}(2 \mathrm{J}+1) \mathrm{e}^{-\beta \mathrm{hcBJ}(\mathrm{J}+1)}\right]$
Answer
Answer: D ✓ checked by 4AB · confidence high
Explanation
Para (even J, weight 1) plus ortho (odd J, weight 3) sums (d).
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