Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Question
Chapter 37, Problem 16P
To determine
The percentage of HF bond in ionic.
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The equilibrium separation between the two ions in the KCl molecule is 0.267 nm. (a) Assuming that the K+ and Cl- ions are point particles, compute the electric dipole moment of the molecule.
(b) Compute the ratio of your result in (a) to the measured electric dipole moment of 5.41 x 10-29 C*m. This ratio is known as the fractional ionic character of the molecular bond.
Show that the moment of inertia of a diatomic molecule composed of atoms of masses mA and mB and bond length R is equal to meffR2, where meff = mAmB/(mA+mB).
The CO molecule has a dipole moment of 0.480x10-30 C m. Given that its equilibrium bond distance is 212 pm, what is the magnitude of the effective charge that causes this dipole moment? Give your answer in units of the charge of an electron
Chapter 37 Solutions
Physics for Scientists and Engineers
Ch. 37 - Prob. 1PCh. 37 - Prob. 2PCh. 37 - Prob. 3PCh. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Prob. 10P
Ch. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - Prob. 16PCh. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43P
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- Consider the HCl molecule, which consists of a hydrogen atom of mass 1 u bound to a chlorine atom of mass 35 u. The equilibrium separation between the atoms is 0.128 nm, and it requires 0.15 eV of work to increase or decrease this separation by 0.01 nm. (a) Calculate the four lowest rotational energies (in eV) that are possible, assuming the molecule rotates rigidly. (b) Find the molecules spring constant and its classical frequency of vibration. (Hint: Recall that U=12Kx2.) (c) Find the two lowest vibrational energies and the classical amplitude of oscillation corresponding to each of these energies. (d) Determine the longest wavelength radiation that the molecule can emit in a pure rotational transition and in a pure vibrational transition.arrow_forwardSuppose that the wavenumber of the J = 1 ← 0 rotational transition of 1H81Br considered as a rigid rotor was measured to be 18.20 cm-1, what is (a) the moment of inertia of the molecule? _____________kg-m2 (b) the bond length? ________________Angstroms (Given the isotopic masses:(m(79Br) = 78.9183 amu, m(81Br) = 80.9163 amuarrow_forwardTo 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_forward
- For the free electrons in a solid, what is the value of the E/EF ratio knowing that the occupancy factor of the energy level E is equal to 0.05 at a temperature such that kT=EF/4? (NOTE: EF is the Fermi energy) a) 3,65b) 4,20c) 0,26d) 1,74e) 0,04arrow_forwardWhen an OH molecule undergoes a transition from the n = 0 to the n = 1 vibrational level, its internal vibrational energy increases by 0.463 eV. Calculate the frequency of vibration and the force constant for the interatomic force. (The mass of an oxygen atom is 2.66 * 10-26 kg, and the mass of a hydrogen atom is 1.67 * 10-27 kg.)arrow_forwardConsider a CO molecule that is initially in the ground state of n = 0, l = 0. If the energy of a vibrational transition from the n = 0 state to the n = 1 state in CO could instead be absorbed in a rotational transition, what would be the value of l for the final state?arrow_forward
- The first three absorption lines in the pure rotational spectrum of gaseous 12C16O are found to have the frequencies 1.15 × 1011, 2.30 × 1011, and 3.46 × 1011 s21. Calculate:(a) The moment of inertia I of CO (in kg m2)(b) The energies of the J 5 1, J 5 2, and J 5 3 rotational levels of CO, measured from the J 5 0 state (in joules)(c) The CUO bond length (in angstroms)arrow_forwardThe bond length in the BrF molecule is 178 pm and the measured dipole moment is 1.29 D (debyes). What is the magnitude of the negative charge (in units of the electronic charge e) on F in BrF? (1 debye = 3.34 × 10−30 coulomb-meters; electronic charge = e = 1.6 × 10−19 coulombs). A. 0.15 B. 0.24 C. 0.33 D. 1.00 E. 1.6 × 10−19arrow_forwardThe force of attraction between a divalen cation and a divalen anion is 2.60 x 10^-8 Newtons. If the ionic radius of the cation is 0.067 nm, waht is the anion radius?arrow_forward
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