ABC26PH1385 · Statistical Thermodynamics
Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Partition Functions · Exam: NET DEC 2014 · Marks: 2 · Difficulty: Medium
The low and high temperature limits of vibrational partition function are $(\theta=\mathrm{h} v / \mathrm{k})$ :
(a)$\mathrm{e}^{-\frac{\theta}{\mathrm{T}}}$ and $\frac{\mathrm{T}}{\theta} \mathrm{e}^{-\frac{\theta}{\mathrm{T}}}$
(b)$\mathrm{e}^{-\frac{\theta}{2 \mathrm{T}}}$ and $\frac{\mathrm{T}}{\theta} \mathrm{e}^{-\frac{\theta}{2 \mathrm{T}}}$
(c)$\mathrm{e}^{-\frac{\theta}{2 \mathrm{T}}}$ and $\frac{\mathrm{T}}{\theta} \mathrm{e}^{-\frac{\theta}{\mathrm{T}}}$
(d)$\mathrm{e}^{-\frac{\theta}{2 \mathrm{T}}}$ and $\frac{\theta}{\mathrm{T}} \mathrm{e}^{-\frac{\theta}{2 \mathrm{T}}}$
Answer
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