Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
9th Edition
ISBN: 9781305372337
Author: Raymond A. Serway | John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 43, Problem 7P
(a)
To determine
The moment of inertia of CO molecule.
(b)
To determine
The comparison of the answer obtained in Example
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The moment of inertia of water molecule about an axis bisecting the HOH angle is1.91x10-47 kg m2. Its minimum angular momentum about that axis (other than zero) is ℏ. Inclassical terms, how many revolutions per second do the hydrogen atoms make about the axiswhen in that state? Calculate the rotational constant (cm-1) and bond length of H2O. Does the bondlength seem reasonable?
Assume the distance between the protons in the H2 molecule is 0.750 x 10-10 m. (a) Find the energy of the first excited rotational state, with J = 1. (b) Find the wavelength of radiation emitted in the transition from J = 1 to J = 0.
p9C.1 Familiarity with the magnitudes of overlap integrals is useful when con-
sidering bonding abilities of atoms, and hydrogenic orbitals give an indication
of their values. (a) The overlap integral between two hydrogenic 2s orbitals is
1 ( ZR
ZR
+.
2а, " 12 а,
1
+
ZR
240 a,
-ZR/Z0
S(2s, 2s)={1+
Plot this expression. (b) For what internuclear distance is S(2s,2s) = 0.50?
(c) The side-by-side overlap of two 2p orbitals of atoms of atomic number Z is
ZR
1 ( ZR
ZR
S(2p,2p) ={1+
10 a,
2a,
120
a.
Plot this expression. (d) Evaluate S(2s,2p) at the internuclear distance you
calculated in part (b).
Chapter 43 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
Ch. 43.1 - For each of the following atoms or molecules,...Ch. 43.2 - Prob. 43.2QQCh. 43.2 - Prob. 43.3QQCh. 43 - Prob. 1OQCh. 43 - Prob. 2OQCh. 43 - Prob. 3OQCh. 43 - Prob. 4OQCh. 43 - Prob. 5OQCh. 43 - Prob. 6OQCh. 43 - Prob. 7OQ
Ch. 43 - Prob. 1CQCh. 43 - Prob. 2CQCh. 43 - Prob. 3CQCh. 43 - Prob. 4CQCh. 43 - Prob. 5CQCh. 43 - Prob. 6CQCh. 43 - Prob. 7CQCh. 43 - Prob. 8CQCh. 43 - Discuss models for the different types of bonds...Ch. 43 - Prob. 10CQCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4PCh. 43 - Prob. 5PCh. 43 - Prob. 6PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 12PCh. 43 - Prob. 13PCh. 43 - Prob. 14PCh. 43 - Prob. 15PCh. 43 - Prob. 16PCh. 43 - The nuclei of the O2 molecule are separated by a...Ch. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 22PCh. 43 - Prob. 23PCh. 43 - Prob. 24PCh. 43 - Prob. 25PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 31PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 34PCh. 43 - Prob. 35PCh. 43 - Prob. 36PCh. 43 - Prob. 37PCh. 43 - Prob. 38PCh. 43 - Prob. 39PCh. 43 - Prob. 40PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 43PCh. 43 - Prob. 44PCh. 43 - Prob. 45PCh. 43 - Prob. 46PCh. 43 - Prob. 47PCh. 43 - Prob. 49PCh. 43 - Prob. 50PCh. 43 - Prob. 51PCh. 43 - A direct and relatively simple demonstration of...Ch. 43 - Prob. 53PCh. 43 - Prob. 54APCh. 43 - Prob. 55APCh. 43 - Prob. 56APCh. 43 - Prob. 57APCh. 43 - Prob. 58APCh. 43 - Prob. 59APCh. 43 - Prob. 61APCh. 43 - Prob. 62APCh. 43 - Prob. 63CPCh. 43 - As an alternative to Equation 43.1, another useful...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- To determine the equilibrium separation of the atoms in the HCl molecule, you measure the rotational spectrum of HCl. You find that the spectrum contains these wavelengths (among others): 60.4 mm, 69.0 mm, 80.4 mm, 96.4 mm, and 120.4 mm. (a) Use your measured wavelengths to find the moment of inertia of the HCl molecule about an axis through the center of mass and perpendicular to the line joining the two nuclei. (b) The value of l changes by +-1 in rotational transitions. What value of l for the upper level of the transition gives rise to each of these wavelengths? (c) Use your result of part (a) to calculate the equilibrium separation of the atoms in the HCl molecule. The mass of a chlorine atom is 5.81 * 10-26 kg, and the mass of a hydrogen atom is 1.67 * 10-27 kg. (d) What is the longest-wavelength line in the rotational spectrum of HCl?arrow_forwardAn H2 molecule is in its vibrational and rotational ground states. It absorbs aphoton of wavelength 2.2112 µm and makes a transition to the ν = 1, J = 1energy level. It then drops to the ν = 0, J = 2 energy level while emitting6/9SIX1011a photon of wavelength 2.4054 µm. Calculate (i) the moment of inertia of theH2 molecule about an axis through its centre of mass and perpendicular tothe H − H bond, (ii) the vibrational frequency of the H2 molecule, and (iii) theequilibrium separation distance for this molecule.arrow_forwardA hypothetical NH molecule makes a rotational-level transition from l = 3 to l= 1 and gives off a photon of wavelength 1.780 nm in doing so. What is the separation between the two atoms in this molecule if we model them as point masses? (The mass of hydrogen is 1.67 * 10-27 kg, and the mass of nitrogen is 2.33 * 10-26 kg).arrow_forward
- The cesium iodide (CsI) molecule has an atomic separation of 0.127 nm. (a) Determine the energy of the third excited rotational state, with J = 3T 4 Your response differs from the correct answer by more than 10%. Double check your calculations. meV (b) Find the frequency of the photon absorbed in the J = 2 to J = 3 transition. GHzarrow_forwardThe CO molecule makes a transition from the J = 1 to the J = 2 rotational state when it absorbs a photon of frequency 2.30 x 1011 Hz. (a) Find the moment of inertia of this molecule from these data.arrow_forwardA diatomic molecule consists of two atoms having masses m1 and m2 separated by a distance r. Show that the moment of inertia about an axis through the center of mass of the molecule is given by Equation 42.3, I = μr2.arrow_forward
- Calculate the angular momentum of the 1H19F molecule for m = 3arrow_forwardEstimate kBT at room temperature, and convert this energy into electronvolts (eV). Using this result, answer the following: (a) Would you expect hydrogen atoms to be ionized at room temperature? (The binding energy of an electron in a hydrogen atom is 13.6 eV.) (b) Would you expect the rotational energy levels of diatomic molecules to be excited at room temperature? (It costs about 10−4 eV to promote such a system to an excited rotational energy level.)arrow_forwardEstimate kBT at room temperature, and convert this energy into electronvolts (eV). Using this result, answer the following: (a) Would you expect hydrogen atoms to be ionized at room temperature? (The binding energy of an electron in a hydrogen atom is 13.6 eV.) (b) Would you expect the rotational energy levels of diatomic molecules to be excited at room temperature? (It costs about 10-4 eV to promote such a system to an excited rotational energy level.)arrow_forward
- (b) Describe the nature and origin of various forces existing between the atoms of a crystal. Explain the formation of a stable bond using the potential energy versus interatomic distance curve. Assume that the potential energy of two particles in the field of each other is given by U(R) = - R where A and B are constants. R9 (i) Show that the particles form a stable compound for R= R. = (9B/A)/8 (R, is equilibrium separation) i) Show that for stable configuration, the energy of attraction is nine times the energy of repulsion. 8A (iii) Show that the potential energy of the system under stable configuration is 9Rearrow_forwardA solid sphere, a thin spherical shell, and a solid cylinder each have a radius of 3 cm and a mass of 5 kg. They each rotate about an axis that goes through their center at a rate of 10 rad/s, and remain in place. Rank the rotational kinetic energies of the objects. (a) Kshell=Ksphere=KcylKshell=Ksphere=Kcyl(b) Kshell>Kcyl>KsphereKshell>Kcyl>Ksphere (c) Kshell>Ksphere>KcylKshell>Ksphere>Kcyl(d) Ksphere>Kcyl>KshellKsphere>Kcyl>Kshell (e) Ksphere>Kshell>Kcylarrow_forwardThe separation between two hydrogen atoms in an H2 molecule is 75 pm. The mass of a hydrogen atom is 1.6735 x 1027 Kg. Find the energy of the rotational state of H2 with quantum number I = 9. Give your answer in unites of eV. Round your answer to 3 decimal places. Add your answerarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
The Laws of Thermodynamics, Entropy, and Gibbs Free Energy; Author: Professor Dave Explains;https://www.youtube.com/watch?v=8N1BxHgsoOw;License: Standard YouTube License, CC-BY