ABC26PH0208 · Statistical Thermodynamics
Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Partition Functions · Exam: CSIR-NET DEC 2018 · Marks: 2 · Difficulty: Medium
The translational partition function for Ar confined to a volume of 1L at 300K, having thermal wavelength of $1.60 \times 10^{-11}$ m, is closest to :
(a)$24.4 \times 10^{29}$
(b)$2.44 \times 10^{29}$
(c)$0.244 \times 10^{29}$
(d)$244 \times 10^{29}$
Answer
Explanation
$\lambda=1.6\times10^{-11}\,\mathrm{m}$, $q=\dfrac{V}{\lambda^{3}}=\dfrac{1\,\mathrm{L}}{(1.6\times10^{-11}\,\mathrm{m})^{3}}=2.44\times10^{29}$.
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