Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Chapter 20, Problem 28AP
(a)
To determine
To show: The molar specific heat of the solid is
(b)
To determine
The specific heat
(c)
To determine
The specific heat
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The effective mass of the solid whose energy expression s(k)= A- B cos (k̟b) cos(k,b)
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In a sample of a solid metal, each atom is free to vibrate about some equilibrium position. The atom’s energy consists of kinetic energy for motion in the x, y, and z directions plus elastic potential energy associated with the Hooke’s law forces exerted by neighboring atoms on it in the x, y, and z directions. According to the theorem of equipartition of energy, assume the average energy of each atom is 1/2 kBT for each degree of freedom. (a) Prove that the molar specific heat of the solid is 3R. The Dulong–Petit law states that this result generally describes pure solids at sufficiently high temperatures. (You may ignore the difference between thespecific heat at constant pressure and the specific heat at constant volume.) (b) Evaluate the specific heat c of iron. Explain how it compares with the value listed as shown. (c) Repeat the evaluation and comparison for gold.
Nitrogen molecules are made of two nitrogen atoms with atomic weight of 14 each. Water molecules are made of one oxygen of 16 atomic mass units and two hydrogens of 1 atomic mass unit each. If you have one gram of each substance in vapor form, at high enough temperature that all molecular vibration and rotation modes are accessible, and the two substances are at the same temperature, what is the ratio of the total energy content of the nitrogen to that of the water?
Chapter 20 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 20.1 - Two containers hold an ideal gas at the same...Ch. 20.2 - (i) How does the internal energy of an ideal gas...Ch. 20.3 - Prob. 20.3QQCh. 20.3 - Prob. 20.4QQCh. 20 - A spherical balloon of volume 4.00 103 cm3...Ch. 20 - A spherical balloon of volume V contains helium at...Ch. 20 - A 2.00-mol sample of oxygen gas is confined to a...Ch. 20 - Prob. 4PCh. 20 - A 5.00-L vessel contains nitrogen gas at 27.0C and...Ch. 20 - Prob. 6P
Ch. 20 - In a period of 1.00 s, 5.00 1023 nitrogen...Ch. 20 - A 7.00-L vessel contains 3.50 moles of gas at a...Ch. 20 - Calculate the change in internal energy of 3.00...Ch. 20 - Prob. 10PCh. 20 - In a constant-volume process, 209 J of energy is...Ch. 20 - A vertical cylinder with a heavy piston contains...Ch. 20 - Prob. 13PCh. 20 - A certain molecule has f degrees of freedom. Show...Ch. 20 - Prob. 15PCh. 20 - Why is the following situation impossible? A team...Ch. 20 - You and your younger brother are designing an air...Ch. 20 - During the compression stroke of a certain...Ch. 20 - Air in a thundercloud expands as it rises. If its...Ch. 20 - Prob. 20PCh. 20 - Air (a diatomic ideal gas) at 27.0C and...Ch. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - Prob. 26PCh. 20 - Prob. 27APCh. 20 - Prob. 28APCh. 20 - The dimensions of a classroom are 4.20 m 3.00 m ...Ch. 20 - Prob. 30APCh. 20 - The Earths atmosphere consists primarily of oxygen...Ch. 20 - Prob. 32APCh. 20 - Prob. 33APCh. 20 - In a cylinder, a sample of an ideal gas with...Ch. 20 - As a 1.00-mol sample of a monatomic ideal gas...Ch. 20 - Prob. 36APCh. 20 - Prob. 37APCh. 20 - Prob. 38APCh. 20 - Prob. 39APCh. 20 - Prob. 40APCh. 20 - Prob. 41APCh. 20 - On the PV diagram for an ideal gas, one isothermal...Ch. 20 - Prob. 43APCh. 20 - Prob. 44APCh. 20 - Prob. 45CP
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