Physical Universe
16th Edition
ISBN: 9780077862619
Author: KRAUSKOPF, Konrad B. (konrad Bates), Beiser, Arthur
Publisher: Mcgraw-hill Education,
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Chapter 10, Problem 28MC
To determine
The correct option from the given set of options.
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1. A model for the potential energy interaction between the two nitrogen atoms in the
N2 molecule is proposed that has the form:
v(4) = 4E, (4)* - ()']
12
a. Find the position of the potential minimum and its value there, in terms of o and Eo,
respectively. What do these parameters represent physically about the molecule?
b. Draw a hand sketch of V(r) showing rmin, V(rmin) and where V crosses the r axis.
c. If the atom is disturbed from its equilibrium by a small amount, show that the
7.56.
frequency of oscillation is w =
d. For molecular nitrogen, the bond length is 1.1 x 10-1°m, the bond (binding) energy is
9.79 eV (15.66 x 10-19 J), the mass is 14 amu = 23.38 x 10-27 kg. In the spectroscopy
laboratory, this vibration is measured to be 8.8 x 1013 Hz. Is this a good model for
the interatomic potential? (Recall o = 2n times frequency in Hz)
where m is the mass of a nitrogen atom.
QUESTION 16
Which of the following statements is not true according to
kinetic theory?
a. Electrical attractions and repulsions between the
molecules must be accounted for in the total
energy of the ideal gas.
b. The energy of an ideal gas only depends on the
kinetic
energy
of the gas.
C. The average energy of a molecule in an ideal gas
is evenly distributed between the different degrees
of freedom of the molecule.
d. The molecules in an ideal gas undergo elastic
collisions.
e. The molecules in an ideal gas only interact during
collisions.
6. An insulated container with a fixed volume holds 2 mol of a mystery diatomic gas, X2, at an initial
temperature of 300 K. The X-X bond has an energy of 2000 J per mole of X2. The gas undergoes the
reaction X2 2X. What is the final temperature of the gas after all the X-X bonds have been broken?
230 K
a.
b. 69.8 K
C.
140 K
d.
460 K
e.
None of the above
Chapter 10 Solutions
Physical Universe
Ch. 10 - Prob. 1MCCh. 10 - Prob. 2MCCh. 10 - Prob. 3MCCh. 10 - Prob. 4MCCh. 10 - Prob. 5MCCh. 10 - Prob. 6MCCh. 10 - Prob. 7MCCh. 10 - Prob. 8MCCh. 10 - Prob. 9MCCh. 10 - Prob. 10MC
Ch. 10 - Prob. 11MCCh. 10 - Prob. 12MCCh. 10 - Prob. 13MCCh. 10 - Prob. 14MCCh. 10 - Prob. 15MCCh. 10 - Prob. 16MCCh. 10 - Prob. 17MCCh. 10 - Prob. 18MCCh. 10 - Prob. 19MCCh. 10 - Prob. 20MCCh. 10 - Prob. 21MCCh. 10 - Prob. 22MCCh. 10 - Prob. 23MCCh. 10 - Prob. 24MCCh. 10 - Prob. 25MCCh. 10 - Prob. 26MCCh. 10 - Prob. 27MCCh. 10 - Prob. 28MCCh. 10 - Prob. 29MCCh. 10 - Prob. 30MCCh. 10 - Prob. 31MCCh. 10 - Prob. 32MCCh. 10 - Prob. 33MCCh. 10 - Prob. 34MCCh. 10 - Prob. 35MCCh. 10 - Prob. 36MCCh. 10 - Prob. 37MCCh. 10 - Prob. 38MCCh. 10 - Prob. 39MCCh. 10 - Prob. 40MCCh. 10 - Prob. 1ECh. 10 - Prob. 2ECh. 10 - Prob. 3ECh. 10 - Prob. 4ECh. 10 - Prob. 5ECh. 10 - Prob. 6ECh. 10 - Prob. 7ECh. 10 - Prob. 8ECh. 10 - Prob. 9ECh. 10 - Prob. 10ECh. 10 - Prob. 11ECh. 10 - The Bronze Age got its name from the ability of...Ch. 10 - Prob. 13ECh. 10 - What energy change would you expect when a...Ch. 10 - Prob. 15ECh. 10 - Prob. 16ECh. 10 - Prob. 17ECh. 10 - Prob. 18ECh. 10 - Prob. 19ECh. 10 - Prob. 20ECh. 10 - Prob. 21ECh. 10 - Prob. 22ECh. 10 - Prob. 23ECh. 10 - Prob. 24ECh. 10 - Prob. 25ECh. 10 - Prob. 26ECh. 10 - Prob. 27ECh. 10 - Prob. 28ECh. 10 - Prob. 29ECh. 10 - Prob. 30ECh. 10 - Prob. 31ECh. 10 - Prob. 32ECh. 10 - Prob. 33ECh. 10 - Prob. 34ECh. 10 - Prob. 35ECh. 10 - Prob. 36ECh. 10 - Prob. 37ECh. 10 - Prob. 38ECh. 10 - Prob. 39ECh. 10 - Prob. 40ECh. 10 - Prob. 41ECh. 10 - Prob. 42ECh. 10 - Prob. 43ECh. 10 - How many atoms of which elements are present in a...Ch. 10 - Prob. 45ECh. 10 - Prob. 46ECh. 10 - Prob. 47ECh. 10 - Prob. 48ECh. 10 - Prob. 49ECh. 10 - Prob. 50ECh. 10 - Prob. 51ECh. 10 - Prob. 52ECh. 10 - Prob. 53ECh. 10 - Prob. 54ECh. 10 - Prob. 55ECh. 10 - Prob. 56ECh. 10 - Prob. 57ECh. 10 - Prob. 58ECh. 10 - Prob. 59ECh. 10 - Prob. 60ECh. 10 - Prob. 61ECh. 10 - Prob. 62E
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- The characteristic energy of the Cl2 molecule is 2.95105eV . Determine the separation distance between the nitrogen atoms.arrow_forwardThe characteristic energy of the N2 molecule is 2.4810-4 ev Determine the separation distance between the nitrogen atomsarrow_forwardFor this question there could be one or MULTIPLE answers, Choose the best Match/Matches. For a monatomic ideal gas in thermal equilibrium near room temperature, a. U = 3/2 NkT. b. U = 5/2 NkT. c. degrees of freedom include translational and rotational motions. d. degrees of freedom include translational, rotational, and vibrational motions. e. U = 5/2 pV. f. U = 3/2 pV. Explain work please.arrow_forward
- Which of the following statements is not true according to kinetic theory? a. The molecules in an ideal gas undergo elastic collisions. b. The molecules in an ideal gas only interact during collisions. c. Electrical attractions and repulsions between the molecules must be accounted for in the total energy of the ideal gas. d. The average energy of a molecule in an ideal gas is evenly distributed between the different degrees of freedom of the molecule. e. The energy of an ideal gas only depends on the kinetic energy of the gas.arrow_forward7. Molecular adsorption: N diatomic molecules are stuck on a metal surface of square symmetry. Each molecule can either lie flat on the surface, in which case it must be aligned to one of two directions, x and y, or it can stand up along the z direction. There is an energy cost of ɛ > 0 associated with a molecule standing up, and zero energy for molecules lying flat along x or y directions.arrow_forward4. Determine the work required to bring into a rest of a moving molecule whose mass and speed is 1.67 × 10^−27 kg and 0.97 × 10^5 m/s, respectively.arrow_forward
- 1. How does Molecular Mechanics Methods calculate the energy of a molecular system?arrow_forward3. Show that in an ideal hexagonal-close-packed (hcp) structure, where the atomic spheres touch each other, the ratio c/a is given by :-()* ( 8 \ 1/2 = 1.633. (The hep structure is discussed in Section 7.) 4 The packing ratio is defined as the fraction of the total volume of the cell that is filled by atoms. Determine the maximum values of this ratio for equal spheres located at the points of simple-cubic, body-centered-cubic, and face-centered-cubic crystals.arrow_forward1. How do molecular mechanical methods calculate the potential energies of molecules?arrow_forward
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