Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
expand_more
expand_more
format_list_bulleted
Question
Chapter 18, Problem 18.58E
Interpretation Introduction
Interpretation:
The value of
Concept introduction:
The energy levels inside a molecules that represents the various possible methods by which a part of a molecule revolves around the bond present between the atoms is known as rotational energy level.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
(4) Determine the vibrational contribution to Cy for one mole of HCN, where ₁ = 2041 cm-¹, v₂ =
712 cm ¹(doubly degenerate), and 3 = 3369 cm¹ at T=298 K, 500 K and T=1000 K.
Calculate realtive population of the two rotational level for HCl at 300K
The diatomic molecule N2 has a rotational constant B(~) = 2.0 cm-1 and a vibrational constant v(~) = 2400 cm-1. The symmetry number for the molecule is 2. Sorry that I cannot write the symbols properly here for the wavenumber versions of the spectroscopic constants.
(a) Suppose that a high-temperature limit for a partition function gives the value q = 0.34. Comment on the value and whether the high-temperature limit is valid.
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
Knowledge Booster
Similar questions
- Plot the distribution (N;/N) of molecules among the various (a) rotational levels (J = 0-20) for CO and (b) vibrational levels (v = 0-5) for Br2 at both 300 K and 800 K. Assume the rigid - rotor/harmonic - oscillator model for both CO and Bry. Discuss the difference between the vibrational and rotational distributions, and the general trend of each distribution with temperature.arrow_forwardCalculate the relative populations of a spherical rotor at 298 K in the levels with J = 0 and J = 5, given that ᷉ B = 2.71 cm−1.arrow_forwardCalculate the vibrational contribution (q) of N₂(g) in the standard state (298 K and 101325 Pa). The rotational constant is B= 1.9987 cm-1 and the vibrational wavenumber is = 2358 cm-1.arrow_forward
- Plot the molar heat capacity of a collection of harmonic oscillators as a function of T/θV, and predict the vibrational heat capacity of ethyne at (i) 298 K, (ii) 500 K. The normal modes (and their degeneracies in parentheses) occur at wavenumbers 612(2), 729(2), 1974, 3287, and 3374 cm–1.arrow_forwardCalculate the translational partition function at (a) 300 K and (b) 600 K of a molecule of molar mass 100 g mol-1 in a container of volume 4.20 cm3.a.) qtr at 300 K (ans is in x10^27 range)b.) qtr at 600 K (ans is in x10^27 range)Note: this is a measure of the vast number of accessible microstates of translation available to a molecule under these conditions.arrow_forward6. Calculate the rotational partition function for nitric oxide (NO) at 20 K using the summation method, as well as the integrated formula. The moment of inertia is 1.65x10^-46 kg*m^2.arrow_forward
- Calculate the vibrational and rotational contributions (with zero point energy) to the molar Gibbs energy of a frozen solid form of carbon dioxide at 200 K. Vibrational frequencies are the following: singly degenerate 1388.2 cm-1 and 667.4 cm-1, and doubly degenerate 2349.2cm-1 . The rotational constant is 0.3902 cm-1. Please type answer not write by hendarrow_forward(McQuarrie 6-44) In this problem, we'll calculate the fraction of diatomic molecules in a particular rotational level at a temperature T using the rigid rotor approximation. This fraction is governed by the Boltzmann distribution, which says that the number of molecules with energy EJ is proportional to e-Eл/kBT, where kB is the Boltzmann constant and T is the temperature in Kelvin. Because the J-th rotational level has degeneracy (2J + 1), we write, where we have used EJ. = NJ = c(2J+1)e-BJ(J+1)/kBT BJ(J+1). Plot NJ/No versus J for H35 Cl (B = 10.60 cm-1) and 127135 Cl (B = 0.114 cm-1) at 300 K. At approximately what rotational state J is the population ratio NJ/No a maximum in each case? Explain how this distribution of rotational state populations leads to the spectroscopic band structure of the sort seen in McQuarrie Figure 6.4 or in lecture.arrow_forwardCalculate the translational partition function at (a) 300 K and (b) 600 K of a molecule of molar mass 100 g mol-1 in a container of volume 4.20 cm3.qtr at 300 K qtr at 600 K Note: this is a measure of the vast number of accessible microstates of translation available to a molecule under these conditions.arrow_forward
- Find the oscillation amplitude of a diatomic molecule (CO) for n=1,2,3,4 & 10,when k=1926 N\m and reduced mass= 6.86 aarrow_forwardEvaluate, 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).arrow_forwardEvaluate the translational partition function for H2 confined to a volume of 191 cm³ at 328 K . (Note: the Avogadro's constant NA 6.022 x 1023 mol-1). Express your answer to three significant figures. Hν ΑΣφ ? qT (H2) = 3.17 • 1026 Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Part B Perform the same calculation for N2 under identical conditions. (Hint: Do you need to reevaluate the full expression for qT ?) Express your answer to three significant figures. ? qT (N2) =arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistryChemistryISBN:9781259911156Author:Raymond Chang Dr., Jason Overby ProfessorPublisher:McGraw-Hill EducationPrinciples of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning
- Organic ChemistryChemistryISBN:9780078021558Author:Janice Gorzynski Smith Dr.Publisher:McGraw-Hill EducationChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningElementary Principles of Chemical Processes, Bind...ChemistryISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEY
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY