Student Solutions Manual for Ball's Physical Chemistry, 2nd
2nd Edition
ISBN: 9798214169019
Author: David W. Ball
Publisher: Cengage Learning US
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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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Check out a sample textbook solutionStudents have asked these similar questions
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?
2. The rotational partition function of an ethene molecule is 661 at 25°C. What is the
rotational contribution to its molar entropy?
Chapter 18 Solutions
Student Solutions Manual for Ball's Physical Chemistry, 2nd
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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Similar questions
- N2O and CO2 have similar rotational constants (12.6 and 11.7 GHz, respect ively) but strikingly different rotational partition functions. Why?arrow_forwardWhat is overall molecular partition function Q, and how it is constructed using the partition functions for each energetic degree of freedom?arrow_forwardThe methyl chloride molecule, CH3Cl, has three non-degenerate vibrations with harmonic wavenumbers 3088, 1396 and 751 cm–1 respectively and three doubly-degenerate vibrations with harmonic wavenumbers 3183, 1496 and 1036 cm–1 respectively. Calculate the vibrational partition function for the methyl chloride molecule at 1200 K.arrow_forward
- It is possible to approximate the rotational partition function for diatomic molecules by replacing the infinite sum over states with an integral. Why might this be less accurate for H₂? OH₂ has a smaller mass so its rotational constant will be very small. OH₂ has a very high vibrational frequency so the spacings between its energy levels will be large. O the moment of inertia for H₂ is OH₂ has a shorter bond length so its rotational constant will be very small. the integral diverges for smaller-sized diatomic molecules.arrow_forwardThe rotational partition function for a sample of carbonyl sulfide (OCS) is found to be 25.0. Above roughly what J value do we expect to see the population (the number of molecules per J level) rapidly decreasingarrow_forwardPlot the temperature dependence of the vibrational contribution to the molecular partition function for several values of the vibrational wavenumber. Estimate from your plots the temperature at which the partition function falls to within 10 per cent of the value expected at the high-temperature limit.arrow_forward
- 9. The rotational spectrum of HCN is in far-infrared region, one part is 2.96 cm", 5.92 cm", 8.87 cm', 11.83 cm'. Calculate the following for HCN molecule (1) The rotation partition function at 300K (2) The contribution of rotation to the molar constant-volume heat capacityarrow_forwardFor carbon monoxide, the characteristic vibrational temperature is 3084K and the characteristic rotational temperature is 2.77K. Calculate the partition functions and the rotational and vibrational contributions to the standard molar entropy at 298K.arrow_forwardA certain atom has a doubly degenerate ground level, a triply degenerate electronically excited level at 1250 cm-1, and a doubly degenerate level at 1300 cm-1. Calculate the partition function of these electronic states at 2000 Karrow_forward
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