Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Question
Chapter 18, Problem 18.30E
Interpretation Introduction
Interpretation:
The expected ratio of rotational partition functions for
Concept introduction:
The rotational partition function of the diatomic molecule at high temperature is represented as,
Where,
•
•
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Consider a system at 250 K which has an infinite ladder of evenly spaced quantum states with an
energy spacing of 0.25 kJ/mol.
1.
The energy for level n=1 is
kJ/mol.
The minimum possible value of the partition function for this system is
The average energy of this system in the classical limit is
decimal]
2.
3.
4.
The number of thermally populated states is
kj/mol. [Answer rounded to 1
[Answer should be whole number]
6) Molecular partition function
a) Write down the expressions for molecular partition function over states and levels, and
explain the terms used in them, and the difference between two forms.
b) If a molecule is confined to the non-degenerate energy levels: 0, ɛ, 2ɛ, what will be
i) the molecular partition function of this molecule?
ii) the fractional populations of each three levels?
c) Answer the question b) above for the degeneracies of levels: 1, 2, 4?
Give an example of 2 isomers of a molecule that have different values of the rotational partition function
at the same temperature.
Chapter 18 Solutions
Physical Chemistry
Ch. 18 - Prob. 18.1ECh. 18 - Prob. 18.2ECh. 18 - Prob. 18.3ECh. 18 - Prob. 18.4ECh. 18 - The following are the first four electronic energy...Ch. 18 - Prob. 18.6ECh. 18 - Prob. 18.7ECh. 18 - Prob. 18.8ECh. 18 - Prob. 18.9ECh. 18 - Prob. 18.10E
Ch. 18 - Prob. 18.11ECh. 18 - Prob. 18.12ECh. 18 - Prob. 18.13ECh. 18 - Prob. 18.14ECh. 18 - Prob. 18.15ECh. 18 - Prob. 18.16ECh. 18 - Prob. 18.17ECh. 18 - Prob. 18.18ECh. 18 - Prob. 18.19ECh. 18 - Prob. 18.20ECh. 18 - Prob. 18.21ECh. 18 - Prob. 18.22ECh. 18 - Prob. 18.23ECh. 18 - Prob. 18.24ECh. 18 - Prob. 18.25ECh. 18 - Prob. 18.26ECh. 18 - Prob. 18.27ECh. 18 - Prob. 18.28ECh. 18 - Prob. 18.29ECh. 18 - Prob. 18.30ECh. 18 - Prob. 18.31ECh. 18 - Prob. 18.32ECh. 18 - Prob. 18.33ECh. 18 - What are qnuc and qrot for N2(I=1)? See Table 18.3...Ch. 18 - The rovibrational spectrum of acetylene, HCCH,...Ch. 18 - Prob. 18.36ECh. 18 - Prob. 18.37ECh. 18 - Prob. 18.38ECh. 18 - Prob. 18.39ECh. 18 - Prob. 18.40ECh. 18 - Prob. 18.41ECh. 18 - Prob. 18.42ECh. 18 - Use equation 18.44 to show that pV=NkT.Ch. 18 - Prob. 18.44ECh. 18 - Determine E,H,G, and S for CH4 at standard...Ch. 18 - Prob. 18.48ECh. 18 - Prob. 18.49ECh. 18 - Calculate the heat capacity of NO2 at 298K and...Ch. 18 - Prob. 18.51ECh. 18 - In Chapters 17 and 18 we have derived expressions...Ch. 18 - Prob. 18.55ECh. 18 - Prob. 18.56ECh. 18 - Prob. 18.57ECh. 18 - Prob. 18.58ECh. 18 - Prob. 18.59ECh. 18 - Prob. 18.60E
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