Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Question
Chapter 43, Problem 3CQ
To determine
How rotational spectrum of a molecule lead to an estimate of the size of the molecule.
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Chapter 43 Solutions
Physics for Scientists and Engineers With Modern Physics
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...
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- The 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_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_forwardThe l = 2 rotational level of the hydrogen chloride (HCl) molecule has energy 7.90 meV. The mass of the most common hydrogen atom is 1.674 * 10-27 kg, and the mass of the most common chlorine atom is 5.807 * 10-26 kg. Find the reduced mass of the HCl moleculearrow_forward
- The 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_forwardThe internuclear distance (bond length) of carbon monoxide molecule is 1.13 Å. Calculate the energy (in joules and eV) of this molecule in the first excited rotational level. Also calculate the angular velocity of the molecule. Given atomic masses of 12^C = 1.99x10^-26 kg; 16^O = 2.66x10^-26 kg.arrow_forwardThe adjacent lines in the pure rotational spectrum of 35C119F are separated by a frequency of 1.13x1010Hz. , what is the inter atomic distance of this molecule?arrow_forward
- 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?arrow_forwardIn solid KCI the smallest distance between the centers of a. potassium ion and a chloride ion is 314 pm. Calculate the length of the edge of the unit cell and the density of KCI, assuming it has the same structure as sodium chloride.arrow_forwardA lithium atom has mass 1.17 * 10-26 kg, and a hydrogen atom has mass 1.67 * 10-27 kg. The equilibrium separation between the two nuclei in the LiH molecule is 0.159 nm. What is the difference in energy between the l = 3 and l = 4 rotational levels?arrow_forward
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