Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305714892
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 21, Problem 21.48AP
(a)
To determine
The mean free path of the molecules in a scuba tank.
(b)
To determine
The average time interval between molecular collisions for a molecule of this gas.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The average distance that a molecule travels before colliding with another molecule is called the mean free path and is given by:
where d is the diameter of the molecule and N, is the number of molecules per unit volume. The number of collisions that a
molecule makes with other molecules per unit time, or collision frequency f, is given by
f =
avg
(a) Determine the mean free path (in m) of hydrogen molecules in a tank that has a volume of 12.5 L, a gauge pressure of
110 atm, and a temperature of 20.0°C. The average diameter of hydrogen molecules is 0.740 x 10¬10
m.
1.49E-8
m
(b) Determine the average time interval (in s) between molecular collisions for a molecule of hydrogen gas.
0.52
How is the time of interest related to the collision frequency? Check the text for an expression for the average speed.
Remember to express the molecular mass in terms of kilograms and that the temperature must be in kelvins. s
The average translational kinetic energy for a molecule (Erans) is given
by the following equation:
Etrans =mv?
Where m is the mass of the molecule and v? is the average of the square
of the velocity. Given v2 = 3kT/m where k is the Boltzmann's constant,
calculate the ratio of the kinetic energies at 200 °C and 100 °C
A sample of pure gold has a mass of 15.8 g. Calculate the number of moles in the sample and gold atoms in the sample.
(a)
moles in the sample
?moles
(b)
gold atoms in the sample
?atoms
Chapter 21 Solutions
Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term
Ch. 21 - Two containers hold an ideal gas at the same...Ch. 21 - (i) How does the internal energy of an ideal gas...Ch. 21 - Prob. 21.3QQCh. 21 - Prob. 21.4QQCh. 21 - Cylinder A contains oxygen (O2) gas, and cylinder...Ch. 21 - An ideal gas is maintained at constant pressure....Ch. 21 - Prob. 21.3OQCh. 21 - A helium-filled latex balloon initially at room...Ch. 21 - Prob. 21.5OQCh. 21 - Prob. 21.6OQ
Ch. 21 - A sample of gas with a thermometer immersed in the...Ch. 21 - Prob. 21.8OQCh. 21 - Which of the assumptions below is not made in the...Ch. 21 - Hot air rises, so why does it generally become...Ch. 21 - Prob. 21.2CQCh. 21 - When alcohol is rubbed on your body, it lowers...Ch. 21 - What happens to a helium-filled latex balloon...Ch. 21 - Which is denser, dry air or air saturated with...Ch. 21 - One container is filled with helium gas and...Ch. 21 - Daltons law of partial pressures states that the...Ch. 21 - (a) How many atoms of helium gas fill a spherical...Ch. 21 - A cylinder contains a mixture of helium and argon...Ch. 21 - Prob. 21.3PCh. 21 - In an ultrahigh vacuum system (with typical...Ch. 21 - A spherical balloon of volume 4.00 103 cm3...Ch. 21 - A spherical balloon of volume V contains helium at...Ch. 21 - A 2.00-mol sample of oxygen gas is confined to a...Ch. 21 - Oxygen, modeled as an ideal gas, is in a container...Ch. 21 - Prob. 21.9PCh. 21 - The rms speed of an oxygen molecule (O2) in a...Ch. 21 - A 5.00-L vessel contains nitrogen gas at 27.0C and...Ch. 21 - A 7.00-L vessel contains 3.50 moles of gas at a...Ch. 21 - In a period of 1.00 s, 5.00 1023 nitrogen...Ch. 21 - In a constant-volume process, 209 J of energy is...Ch. 21 - A sample of a diatomic ideal gas has pressure P...Ch. 21 - Review. A house has well-insulated walls. It...Ch. 21 - A 1.00-mol sample of hydrogen gas is healed at...Ch. 21 - A vertical cylinder with a heavy piston contains...Ch. 21 - Calculate the change in internal energy of 3.00...Ch. 21 - A 1.00-L insulated bottle is full of tea at 90.0C....Ch. 21 - Review. This problem is a continuation of Problem...Ch. 21 - A certain molecule has f degrees of freedom. Show...Ch. 21 - In a crude model (Fig. P21.23) of a rotating...Ch. 21 - Why is the following situation impossible? A team...Ch. 21 - Prob. 21.25PCh. 21 - A 2.00-mol sample of a diatomic ideal gas expands...Ch. 21 - During the compression stroke of a certain...Ch. 21 - How much work is required to compress 5.00 mol of...Ch. 21 - Air in a thundercloud expands as it rises. If its...Ch. 21 - Why is the following situation impossible? A new...Ch. 21 - During the power stroke in a four-stroke...Ch. 21 - Air (a diatomic ideal gas) at 27.0C and...Ch. 21 - A 4.00-L sample of a diatomic ideal gas with...Ch. 21 - Prob. 21.34PCh. 21 - Prob. 21.35PCh. 21 - Fifteen identical particles have various speeds:...Ch. 21 - Prob. 21.37PCh. 21 - Prob. 21.38PCh. 21 - Prob. 21.39PCh. 21 - Consider a container of nitrogen gas molecules at...Ch. 21 - Prob. 21.41PCh. 21 - Prob. 21.42PCh. 21 - The law of atmospheres states that the number...Ch. 21 - Prob. 21.44APCh. 21 - Prob. 21.45APCh. 21 - The dimensions of a classroom are 4.20 m 3.00 m ...Ch. 21 - The Earths atmosphere consists primarily of oxygen...Ch. 21 - Prob. 21.48APCh. 21 - An air rifle shoots a lead pellet by allowing high...Ch. 21 - Prob. 21.50APCh. 21 - A certain ideal gas has a molar specific heat of...Ch. 21 - Prob. 21.52APCh. 21 - Review. Oxygen at pressures much greater than 1...Ch. 21 - Prob. 21.54APCh. 21 - Model air as a diatomic ideal gas with M = 28.9...Ch. 21 - Review. As a sound wave passes through a gas, the...Ch. 21 - Prob. 21.57APCh. 21 - In a cylinder, a sample of an ideal gas with...Ch. 21 - As a 1.00-mol sample of a monatomic ideal gas...Ch. 21 - A sample consists of an amount n in moles of a...Ch. 21 - Prob. 21.61APCh. 21 - A vessel contains 1.00 104 oxygen molecules at...Ch. 21 - A pitcher throws a 0.142-kg baseball at 47.2 m/s....Ch. 21 - The latent heat of vaporization for water at room...Ch. 21 - A sample of a monatomic ideal gas occupies 5.00 L...Ch. 21 - Prob. 21.66APCh. 21 - Prob. 21.67APCh. 21 - Prob. 21.68APCh. 21 - Prob. 21.69APCh. 21 - On the PV diagram for an ideal gas, one isothermal...Ch. 21 - Prob. 21.71APCh. 21 - Review, (a) H it has enough kinetic energy, a...Ch. 21 - Prob. 21.73APCh. 21 - Prob. 21.74CPCh. 21 - A cylinder is closed at both ends and has...
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
- Two containers hold ideal gases at the same temperature.Container A has twice the volume and half the number of molecules as container B. What is the ratio PA>PB, where PA is the pressure in container A and PB is the pressure in container B?arrow_forwarda) Calculate the mean free path in meters of a nitrogen molecule (with a mass m=4.68×10¬26 kg) located in Earth's atmosphere at sea level. Assume a temperature of T=300 K and a number density of particles of 1019 cm-3. b) Assuming that the collision cross-section of the molecule is o = 2x10-10 frequency v in Hertz and the time between collisions t in seconds. m, compute the collisionarrow_forwardA certain element has a mass per mole of 9.0122 g/mol. What is the mass of a single atom in (a) atomic mass units and (b) kilograms? (c) How many moles of atoms are in a 277-g sample? (a) matom (b) matom= (c) n = i iarrow_forward
- The average kinetic energy of the molecules in a gas sample depends only on the temperature, ?. However, given the same kinetic energies, a lighter molecule will move faster than a heavier molecule, as shown in the equation for rms speed. where ?=8.314 J/(mol⋅K) and ℳ is molar mass in kilograms per mole. Note that a joule is the same as a kilogram‑meter squared per second squared (kg·m2/s2). What is the rms speed of Cl2 molecules at 401 K? What is the rms speed of He atoms at 401401 K?arrow_forwardAn ideal gas is held in a container of volume V at pressure p. The rms speed of a gas molecule under these conditions is v. If the volume and pressure are changed to 3V and 2p, what will be the rms speed of the gas molecule (compared to the original speed v)?arrow_forwardOne mole of an ideal gas at standard temperature and pressure occupies 22.4 L (molar volume). What is the ratio of molar volume to the atomic volume of a mole of hydrogen ? (Take the size of hydrogen molecule to be about 1 Å). Why is this ratio so large ?arrow_forward
- A sample of pure copper has a mass of 12.5 g. Calculate the number of (a) moles in the sample and (b) copper atoms in the sample.arrow_forwardA gas is cooled and trapped in a two-dimensional region by laser beams and magnets. The speed distribution function of the gas molecules obeys the two-dimensional Maxwell-Boltzmann distribution law, f(v)=2π(m2πkB T)ve−mv22kB T where m is the mass of a gas molecule, T is the temperature, and v is the speed. What is the average speed of the gas molecule?arrow_forwardYou 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⁻¹arrow_forward
- A cylinder of nitrogen and a cylinder of neon are at the same temperature and pressure. The mean free path of a nitrogen molecule is 160 nm. What is the mean free path of a neon atom? Express your answer with the appropriate units. XNe = Submit μA Value Units Previous Answers Request Answer ?arrow_forwardA typical sugar cube has an edge length of 1 cm. If you had a cubical box that contained a mole of sugar cubes, what would its edge length be?arrow_forwarddiffusion across a one dimensional slabarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON