Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 18, Problem 18.39E
Interpretation Introduction
Interpretation:
The value of
Concept introduction:
The
The
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(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
molecules
Answer the following questions in minimum 5 sentences 3. Describe the difference between real deviations from Beer’s law and those due to instrumental orchemical factors.4. How does an electronic transition resemble a vibrational transition? How do they differ?
Evaluate, by explicit summation, the mean vibrational energy of CI4 and plot its value as a function of temperature. At what temperature is the equipartition value within 5 per cent of the accurate value? Use 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).
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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- Determine the number of total degrees of freedom and the number of vibrational degrees of freedom for the following species. a Hydrogen sulfide, H2S b Carbonyl sulfide, OCS c The sulfate ion, SO42 d Phosgene, COCl2 e Elemental chlorine, Cl2 f A linear molecule having 20 atoms g A nonlinear molecule having 20 atomsarrow_forwardWhat is J_max in rotational Boltzman distribution, and calculate J_max for HCl at 1000Karrow_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_forward
- 4. What is the form of the total vibrational partition function for a polyatomic molecule?arrow_forwardFor a specific molecule the ground state is nondegenerate while the first excited state is doubly degenerate. The excited state is removed from the ground state by 380 cm-1. What must the temperature of the system be for i) 25% and ii) 45% of the molecule to be in the first excited state?arrow_forwardCalculate the value of Cp at 298K and 1 atm pressure predicted for CH4(g) and C2H4(g) by the classical equipartition theorem. Compare the predicted results with the experimental results (see OGB Appendix D) and calculate the percent of the measured value that arises from vibrational degrees of freedom.arrow_forward
- Why does the vibrational state of a diatomic molecule affect its rotational constant? Is there an effect even if the potential is strictly parabolic?arrow_forwardA rotating methane molecule is described by the quantum numbers J, MJ, and K. (a) For methane, how many rotational states have an energy equal to hBJ(J + 1) with J= 8? (b) Now consider chloromethane. How many rotationalstates have an energy equal to hBJ(J + 1) with J = 8?arrow_forwardA certain molecule has a doubly degenerate excited state lying at 360 cm−1 above the non-degenerate ground state. At what temperature will 15 per cent of the molecules be in the upper state?arrow_forward
- What can we predict about fluorescence intensity as a function of temperature from Boltzmann’s distribution?arrow_forwardCalculate the moment of inertia for hcl molecule from the given value of rotational constantarrow_forwardConsider a diatomic molecule that is highly susceptible to centrifugal distortion in its ground vibrational state. Do you expect excitation to high rotational energy leve ls to change the equilibrium bond length of this molecule? Justify your answer.arrow_forward
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