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EBK PHYSICAL CHEMISTRY
2nd Edition
ISBN: 8220100477560
Author: Ball
Publisher: Cengage Learning US
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Question
Chapter 18, Problem 18.27E
Interpretation Introduction
Interpretation:
The value of the rotational partition function for
Concept introduction:
The rotational partition function for the linear molecules is,
Where,
•
•
•
•
•
•
The partition function is a unitless quantity.
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Students have asked these similar questions
b.
The energy difference between consecutive vibrational states is 1.0 x 1020 J
for a molecule.
(i)
Calculate the population ratio, n4/n¡, for this system at 298 K and discuss the
significance of this ratio in terms of the distribution of molecules in the
higher vibrational energy states.
(ii)
Estimate the vibrational partition function at 298 K.
(iii)
Estimate the fundamental vibration wave number for this molecule.
h = 6.626 x 10-3ª J s
k= 1.38 x 1023 J K'
c = 2.998 x 10® m s''
The rotational constant for the molecule 1H35Cl is B = 10.60 cm-1. Using Boltzmann statistics, determine the most likely rotational state J that such a molecule would be expected to have at a
temperature of 300 K.
the rotational constant for 1H35Cl is 10.6 cm-1 . What are the degeneracies, g, of the J=2, and J=3 rotational states?
Chapter 18 Solutions
EBK 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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Similar questions
- Calculate the relative populations of the J = 2 and J = 1 rotational levels of HCI at 25 oC. For HCI the rotational constant is B =318.0 GHz.arrow_forwardCalculate the rotational partition function for a non-linear molecule whose σ=5 at 25°C. Given A = 4.828 cm-1 , B = 1.015 cm-1 and C = 0.824 cm-1.arrow_forwardCalculate the rotational energy of CO at J=2 given a bond length of 1.0 Å. unit in eV.arrow_forward
- The three normal modes of water are the symmetric stretch (3652 cm¹), the antisymmetric stretch (3756 cm¹), and the bend (1595 cm¹). (a) Calculate the molecular vibrational partition function of water at 500 K. (b) At 500 K, what fraction of water molecules have the bend excited to v₂=1. What fraction of water molecules have the symmetric stretch excited to v₁=1? Why do more molecules have the bend excited? (c) At 500 K, what fraction of water molecules have both v2-1 and v₁=1 excited?arrow_forwardConsider the rotational temperatures of the following hetero diatomic molecules: θr(CO) = 2.1 K, θr(HF) = 30.2 K. In which case would the classical approximation be accurate? Justify your answer.arrow_forwardEvaluate the translational partition function of (a) N2, (b) gaseous CS2 in a flask of volume 10.0 cm3. Why is one so much larger than the other?arrow_forward
- Calculate the standard molar entropy of O2(g) at 298 K from its rotational constant B=1.4457 cm and its vibrational wavenumber =1580 cm. O2 is a linear rotor with a symmetry number of 2 and a molecular weight of 32 g/mol.arrow_forwardCalculate the value of the translational partition function for 1H 35Cl at temperature T = 406 K in a 1.0 L containerarrow_forward(c) Consider the following rotational temperatures of diatomic molecules: qr(N2) = 2.9K, qr(HD) = 64.7K Assuming classical behaviour (i.e. continuum approximation): (i) Estimate the number of accessible rotational energy levels at 290 K for both moleculesarrow_forward
- Calculate the vibrational partition function of CI4 at 500 K given the wavenumbers 178 cm−1 (symmetric stretch, non-degenerate), 90 cm−1 (deformation, doubly degenerate), 555 cm−1 (deformation, triply degenerate), 125 cm−1 (deformation, triply degenerate).arrow_forward5. For carbon monoxide at 298K, determine the fraction of molecules in the rotational levels for J=0, 5, 10, 15, and 20. The rotational constant (B) is 3.83x10^-23 Joules.arrow_forwardCalculate (i) the thermal wavelength, (ii) the translational partition function at 300 K and 3000 K of a molecule of molar mass 150 g mol−1 in a container of volume 1.00 cm3.arrow_forward
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