Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 20, Problem 40AP
(a)
To determine
The molar specific heat at constant volume if the molecules are linear.
(b)
To determine
The molar specific heat at constant volume if the molecules are nonlinear.
(c)
To determine
The high temperature molar specific heat at constant volume for a triatomic ideal gas of linear molecules.
(d)
To determine
The high temperature molar specific heat at constant volume for a triatomic ideal gas of nonlinear molecules.
(e)
To determine
The way by which the specific heat data is used to determine whether a triatomic molecule is linear or non-linear and check whether the data in Table
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Consider 1.5 mol of pure nitrogen gas N2 which we will treat as a diatomic ideal gas. From 100 K to 1000 K, the gas has three translational and two rotational degrees of freedom. Above 1000 K, there are two additional vibrational degrees of freedom. The molar mass of N2 is 0.028 kg/mol.
a. If the nitrogen molecules have an rms translational molecular speed of 511 m/s, what is the temperature of the gas?
b. What is the internal energy U of the nitrogen gas at the temperature from part a?
c. If the nitrogen gas has a pressure of 1.2 atm, what volume (in liters) does it occupy at the temperature from part a?
d How much heat would be required to raise the temperature of the gas from 1500 K to 1800 K, at a constant volume? Remember that vibrational degrees of freedom are active at these temperatures.
You measure the average free path λ and the average collision time τ of the molecules of a diatomic gas of molecular mass 6.00 × 10-²⁵ kg and radius r = 1.0 x 10-¹⁰ m. From these microscopic data can we obtain macroscopic properties such as temperature T and pressure P? If so, consider λ = 4.32 x 10-⁸ m and τ = 3.00 x 10-¹⁰ s and calculate T and P.
indicate the correct answer:
1- Not possible2- Yes, T =150 K and P ~ 2.04 atm.3- Yes, T = 150 K and P ~ 4.08 atm.4- Yes, T = 300 K and P ~ 4.08 atm.5- Yes, T = 300 K and P ~ 5.32 atm6- Yes, T = 400 K and P ~ 4.08 atm.7- Yes, T = 400 K and P ~ 5.32 atm.
obs.:
If necessary, consider:
R = 8.314 J/mol∙K1 cal = 4.19 Jkb =1,38 x 10⁻²³ m² kg s⁻² K⁻¹
For 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.
Chapter 20 Solutions
Physics for Scientists and Engineers
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 - Oxygen, modeled as an ideal gas, is in a container...Ch. 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 - A 1.00-L insulated bottle is full of tea at 90.0C....Ch. 20 - A certain molecule has f degrees of freedom. Show...Ch. 20 - You are working for an automobile tire company....Ch. 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 - Why is the following situation impossible? A new...Ch. 20 - Air (a diatomic ideal gas) at 27.0C and...Ch. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - The law of atmospheres states that the number...Ch. 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 - Review. As a sound wave passes through a gas, the...Ch. 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 - A sample consists of an amount n in moles of a...Ch. 20 - The latent heat of vaporization for water at room...Ch. 20 - A vessel contains 1.00 104 oxygen molecules at...Ch. 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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