ABC26PH0543 · Statistical Thermo
Subject: Physical Chemistry · Chapter: Statistical Thermo · Topic: Statistical Thermo – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium
The vibrational partition function for a molecule with fundamental frequency v is given by
(a)$\exp \left(-\frac{\hbar v}{\mathrm{k}_{\mathrm{B}} \mathrm{T}}\right)$
(b)$\left[1-\exp \left(-\frac{\hbar v}{\mathrm{k}_{\mathrm{B}} \mathrm{T}}\right)\right]^{-1}$
(c)$\exp \left(-\frac{\hbar v}{\mathrm{k}_{\mathrm{B}} \mathrm{T}}\right)\left[1-\exp -\left(\frac{\hbar v}{\mathrm{k}_{\mathrm{B}} \mathrm{T}}\right)\right]^{-1}$
(d)$\exp \left(-\frac{\hbar v}{2 \mathrm{k}_{\mathrm{B}} \mathrm{T}}\right)\left[1-\exp -\left(\frac{\hbar v}{\mathrm{k}_{\mathrm{B}} \mathrm{T}}\right)\right]^{-1}$
Answer
Explanation
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