College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
thumb_up100%
Chapter 10.5, Problem 10.6QQ
To determine
The rms speed.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
At what temperature would the rms speed of helium atoms equal (a) the escape speed from Earth, 1.12 x 104 m/s and (b) the escape speed from the Moon, 2.37 x 103 m/s? Note: The mass of a helium atom is 6.64 x 10-27 kg.
An argon-40 atom has a mass of 6.64 ✕ 10−26 kg.
(a)
What temperature (in K) would a gas composed entirely of argon-40 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from Earth, 1.12 ✕ 104 m/s?
K
(b)
What temperature (in K) would a gas composed entirely of argon-40 atoms have to be at in order for the rms speed of the atoms to equal the escape speed from the Moon, 2.37 ✕ 103 m/s?
K
2
4
3. What is the average (rms) speed of the molecules of a helium gas at a temperature of 23°C?
m/s
Y
on
N
2
W
S
#3
X
command
E
с
D
$
4
C
R
LL
F
G Search or type URL
de 5
%
V
T
G
MacBook Pro
6
B
Y
H
&
7
N
U
J
☆
* 00
8
M
1
+
(
6.
K
9
O
Δ·
I
:
;
option
Chapter 10 Solutions
College Physics
Ch. 10.1 - Prob. 10.1QQCh. 10.3 - If you quickly plunge a room-temperature mercury...Ch. 10.3 - If you are asked to make a very sensitive glass...Ch. 10.3 - Two spheres are made of the same metal and have...Ch. 10.3 - Prob. 10.5QQCh. 10.5 - Prob. 10.6QQCh. 10 - (a) Why does an ordinary glass dish usually break...Ch. 10 - A sealed container contains a fixed volume of a...Ch. 10 - Some thermometers are made of a mercury column in...Ch. 10 - Prob. 4CQ
Ch. 10 - Objects deep beneath the surface of the ocean are...Ch. 10 - A container filled with an ideal gas is connected...Ch. 10 - Why do vapor bubbles in a pot of boiling water get...Ch. 10 - Markings to indicate length are placed on a steel...Ch. 10 - Figure CQ10.9 shows Maxwell speed distributions...Ch. 10 - The air we breathe is largely composed of nitrogen...Ch. 10 - Metal lids on glass jars can often be loosened by...Ch. 10 - Suppose the volume of an ideal gas is doubled...Ch. 10 - An automobile radiator is filled to the brim with...Ch. 10 - Figure CQ10.14 shows a metal washer being heated...Ch. 10 - Prob. 1PCh. 10 - The pressure in a constant-volume gas thermometer...Ch. 10 - Prob. 3PCh. 10 - Death Valley holds the record for the highest...Ch. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - A persons body temperature is 101.6F, indicating a...Ch. 10 - The temperature difference between the inside and...Ch. 10 - Prob. 9PCh. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - A grandfather clock is controlled by a swinging...Ch. 10 - A pair of eyeglass frames are made of epoxy...Ch. 10 - A spherical steel ball bearing has a diameter of...Ch. 10 - A brass ring of diameter 10.00 cm at 20.0C is...Ch. 10 - A wire is 25.0 m long at 2.00C and is 1.19 cm...Ch. 10 - The density of lead is 1.13 104 kg/m3 at 20.0C....Ch. 10 - The Golden Gate Bridge in San Francisco has a main...Ch. 10 - An underground gasoline tank can hold 1.00 103...Ch. 10 - Show that the coefficient of volume expansion, ,...Ch. 10 - A hollow aluminum cylinder 20.0 cm deep has an...Ch. 10 - A construction worker uses a steel tape to measure...Ch. 10 - The hand in Figure P10.23 is stainless steel...Ch. 10 - The Trans-Alaskan pipeline is 1 300 km long,...Ch. 10 - The average coefficient of volume expansion for...Ch. 10 - The density or gasoline is 7.30 102 kg/m3 at 0C....Ch. 10 - Figure P10.27 shows a circular steel casting with...Ch. 10 - The concrete sections of a certain superhighway...Ch. 10 - A sample of pure copper has a mass of 12.5 g....Ch. 10 - Prob. 30PCh. 10 - One mole of oxygen gas is at a pressure of 6.00...Ch. 10 - A container holds 0.500 m3 of oxygen at an...Ch. 10 - (a) An ideal gas occupies a volume of 1.0 cm3 at...Ch. 10 - An automobile tire is inflated with air originally...Ch. 10 - Prob. 35PCh. 10 - Gas is contained in an 8.00-L vessel at a...Ch. 10 - Prob. 37PCh. 10 - The density of helium gas at 0C is 0 = 0.179...Ch. 10 - An air bubble has a volume of 1.50 cm3 when it is...Ch. 10 - During inhalation, a persons diaphragm and...Ch. 10 - What is the average kinetic energy of a molecule...Ch. 10 - Prob. 42PCh. 10 - Three moles of an argon gas are at a temperature...Ch. 10 - A sealed cubical container 20.0 cm on a side...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Prob. 47PCh. 10 - A 7.00-L vessel contains 3.50 moles of ideal gas...Ch. 10 - Prob. 49PCh. 10 - Prob. 50PCh. 10 - Inside the wall of a house, an L-shaped section of...Ch. 10 - The active element of a certain laser is made of a...Ch. 10 - A popular brand of cola contains 6.50 g of carbon...Ch. 10 - Prob. 54APCh. 10 - Prob. 55APCh. 10 - A 1.5-m-long glass tube that is closed at one end...Ch. 10 - Prob. 57APCh. 10 - A vertical cylinder of cross-sectional area A is...Ch. 10 - Prob. 59APCh. 10 - A 20.0-L tank of carbon dioxide gas (CO2) is at a...Ch. 10 - A liquid with a coefficient of volume expansion of...Ch. 10 - Before beginning a long trip on a hot day, a...Ch. 10 - Two concrete spans of a 250-m-long bridge are...Ch. 10 - An expandable cylinder has its top connected to a...Ch. 10 - A bimetallic strip of length L is made of two...Ch. 10 - A 250-m-long bridge is improperly designed so that...Ch. 10 - Prob. 67APCh. 10 - Two small containers, each with a volume of 1.00 ...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Cylinder A contains oxygen (O2) gas, and cylinder B contains nitrogen (N2) gas. If the molecules in the two cylinders have the same rms speeds, which of the following statements is false? (a) The two gases haw different temperatures. (b) The temperature of cylinder B is less than the temperature of cylinder A. (c) The temperature of cylinder B is greater than the temperature of cylinder A. (d) The average kinetic energy of the nitrogen molecules is less than the average kinetic energy of the oxygen molecules.arrow_forwardThe noble gases neon (atomic mass 20.1797 u) and krypton (atomic mass 83.798 u) are accidentally mixed in a vessel that has a temperature of 90.0C. What are the a. average kinetic energies and b. rms speeds of neon and krypton molecules in the vessel?arrow_forwardAn ideal gas is contained in a vessel at 300 K. The temperature of the gas is then increased to 900 K. (i) By what factor does the average kinetic energy of the molecules change, (a) a factor of 9, (b) a factor of 3, (c) a factor of 3, (d) a factor of 1, or (e) a factor of 13? Using the same choices as in part (i), by what factor does each of the following change: (ii) the rms molecular speed of the molecules, (iii) the average momentum change that one molecule undergoes in a collision with one particular wall, (iv) the rate of collisions of molecules with walls, and (v) the pressure of the gas?arrow_forward
- One cylinder contains helium gas and another contains krypton gas at the same temperature. Mark each of these statements true, false, or impossible to determine from the given information. (a) The rms speeds of atoms in the two gases are the same. (b) The average kinetic energies of atoms in the two gases are the same. (c) The internal energies of 1 mole of gas in each cylinder are the same. (d) The pressures in the two cylinders ale the same.arrow_forwardDecades ago, it was thought that huge herbivorous dinosaurs such as Apatosaurus and Brachiosaurus habitually walked on the bottom of lakes, extending their long necks up to the surface to breathe. Brarhiosaurus had its nostrils on the top of its head. In 1977, Knut Schmidt-Nielsen pointed out that breathing would be too much work for such a creature. For a simple model, consider a sample consisting of 10.0 L of air at absolute pressure 2.00 atm, with density 2.40 kg/m3, located at the surface of a freshwater lake. Find the work required to transport it to a depth of 10.3 m, with its temperature, volume, and pressure remaining constant. This energy investment is greater than the energy that can be obtained by metabolism of food with the oxygen in that quantity of air.arrow_forwardA sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P21.65). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state, (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally, (f) Find Q, W, and Eint for each of the processes, (g) For the whole cycle A B C A, find Q, W, and Eint.arrow_forward
- The air we breathe is largely composed of nitrogen (N2) and oxygen (O2) molecules. The mass of an N2 molecule is less than the mass of an O2 molecule. (a) For air at 300 K, is the average kinetic energy of an N2 molecule greater than, less than, or equal to the average kinetic energy of an O2 molecule? (b) Is the rms speed in air of an N2 molecule greater than, less than, or equal to the rms speed in air of an O2 molecule?arrow_forwardConsider the Maxwell-Boltzmann distribution function plotted in Problem 28. For those parameters, determine the rms velocity and the most probable speed, as well as the values of f(v) for each of these values. Compare these values with the graph in Problem 28. 28. Plot the Maxwell-Boltzmann distribution function for a gas composed of nitrogen molecules (N2) at a temperature of 295 K. Identify the points on the curve that have a value of half the maximum value. Estimate these speeds, which represent the range of speeds most of the molecules are likely to have. The mass of a nitrogen molecule is 4.68 1026 kg. Equation 20.18 can be used to find the rms velocity given the temperature, Boltzmanns constant, and the mass of the atom or molecule. The mass of a nitrogen molecule is 4.68 1026 kg. vrms=3kBTm=3(1.381023J/K)4.681026kg=511m/s Using the results of Problem 28 and the rms velocity, we can calculate the value of f(v). f(vrms) = (3.11 108)(511)2 e(5.75106(511)2) = 0.00181 The most probable speed, for which this function has its maximum value, is given by Equation 20.20. vmp=2kBTm=2(1.381023J/K)(295K)4.681026kg=417m/s f(vmp) = (3.11108)(417)2 e(5.75106(417)2) = 0.00199 We plot these points on the speed distribution. The most probable speed is indeed at the peak of the distribution function. Since the function is not symmetric, the rms velocity is somewhat higher than the most probable speed. Figure P20.29ANSarrow_forwardFifteen identical particles have various speeds: one has a speed of 2.00 m/s, two have speeds of 3.00 m/s, three have speeds of 5.00 m/s, four have speeds of 7.00 m/s, three have speeds of 9.00 m/s, and two have speeds of 12.0 m/s. Find (a) the average speed, (b) the rms speed, and (c) the most probable speed of these particles.arrow_forward
- If the pressure of an ideal monatomic gas is increased while the number of moles is kept constant, what happens to the average translational kinetic energy of one atom of the gas? Is it possible to change both the volume and the pressure of an ideal gas and keep the average translational kinetic energy of the atoms constant? Explain.arrow_forwardFour tanks A, B, C, and D are filled with monatomic ideal gases. For each tank, the mass of an individual atom and the rms speed of the atoms are expressed in terms of m and Vrms respectively (see the table). Suppose that m = 2.23 x 10-26 kg, and Vrms = 1050 m/s. Find the temperature of the gas in each tank. (a) TA= (b) TB= (c) Tc = i i i i (d) TD= Mass Rms speed A m Urms B m 20rms C 2m Urms D 2m 20rmsarrow_forwardMuch of the gas near the Sun is hydrogen nuclei. Its temperature would have to be 1.5 × 107 K for the rms speed to equal the escape speed from the Sun. a) What is that velocity, in meters per second?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning