University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 18, Problem 18.67P
You blow up a spherical balloon to a diameter of 50.0 cm until the absolute pressure inside is 1.25 atm and the temperature is 22.0°C. Assume that all the gas is N2, of molar mass 28.0 g/mol. (a) Find the mass of a single N2 molecule. (b) How much translational kinetic energy does an average N2 molecule have? (c) How many N2 molecules are in this balloon? (d) What is the total translational kinetic energy of all the molecules in the balloon?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two moles of an ideal gas are placed in a container whose volume is 3.1 x 10-3 m3. The absolute pressure of the gas is 5.5 x 105 Pa. What is the average translational kinetic energy of a molecule of the gas?
Two moles of an ideal gas are placed in a container whose volume is 7.9 x 103 m3. The absolute pressure of the gas is 4.5 x 10 Pa. What is the average translational kinetic energy of a molecule of the gas?
Number
Units
the tolerance is +/-2%
the toler
Oxygen (O2) has a molar mass of 32.0 g/mol .
a) What is the root-mean-square speed of an oxygen molecule at a temperature of 291 K ? Express your answer in meters per second.
b)What is its average translational kinetic energy at that speed? Express your answer in joules.
Chapter 18 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 18.1 - Rank the following ideal gases in order from...Ch. 18.2 - Prob. 18.2TYUCh. 18.3 - Rank the following gases in order from (a) highest...Ch. 18.4 - A cylinder with a fixed volume contains hydrogen...Ch. 18.5 - A quantity of gas containing N molecules has a...Ch. 18.6 - The average atmospheric pressure on Mars is 6.0 ...Ch. 18 - Section 18.1 states that ordinarily, pressure,...Ch. 18 - In the ideal-gas equation, could an equivalent...Ch. 18 - When a car is driven some distance, the air...Ch. 18 - The coolant in an automobile radiator is kept at a...
Ch. 18 - Unwrapped food placed in a freezer experiences...Ch. 18 - A group of students drove from their university...Ch. 18 - The derivation of the ideal-gas equation included...Ch. 18 - A rigid, perfectly insulated container has a...Ch. 18 - (a) Which has more atoms: a kilogram of hydrogen...Ch. 18 - Use the concepts of the kinetic-molecular model to...Ch. 18 - The proportions of various gases in the earths...Ch. 18 - Comment on the following statement: When two gases...Ch. 18 - Prob. 18.13DQCh. 18 - The temperature of an ideal gas is directly...Ch. 18 - If the pressure of an ideal monatomic gas is...Ch. 18 - In deriving the ideal-gas equation from the...Ch. 18 - Imagine a special air filter placed in a window of...Ch. 18 - Prob. 18.18DQCh. 18 - Consider two specimens of ideal gas at the same...Ch. 18 - The temperature of an ideal monatomic gas is...Ch. 18 - Prob. 18.21DQCh. 18 - (a) If you apply the same amount of heat to 1.00...Ch. 18 - Prob. 18.23DQCh. 18 - In a gas that contains N molecules, is it accurate...Ch. 18 - The atmosphere of the planet Mars is 95.3% carbon...Ch. 18 - Prob. 18.26DQCh. 18 - Ice is slippery to walk on, and especially...Ch. 18 - Hydrothermal vents are openings in the ocean floor...Ch. 18 - The dark areas on the moons surface are called...Ch. 18 - In addition to the normal cooking directions...Ch. 18 - A 20.0-L tank contains 4.86 104 kg of helium at...Ch. 18 - Helium gas with a volume of 3.20 L, under a...Ch. 18 - A cylindrical tank has a tight-fitting piston that...Ch. 18 - A 3.00-L lank contains air at 3.00 atm and 20.0C....Ch. 18 - Planetary Atmospheres. (a) Calculate the density...Ch. 18 - You have several identical balloons. You...Ch. 18 - A Jaguar XK8 convertible has an eight-cylinder...Ch. 18 - A welder using a tank of volume 0.0750 m3 fills it...Ch. 18 - A large cylindrical tank contains 0.750 m3 of...Ch. 18 - An empty cylindrical canister 1.50 m long and 90.0...Ch. 18 - The gas inside a balloon will always have a...Ch. 18 - An ideal gas has a density of 1.33 106 g/cm3 at...Ch. 18 - If a certain amount of ideal gas occupies a volume...Ch. 18 - A diver observes a bubble of air rising from the...Ch. 18 - A metal tank with volume 3.10 L will burst if the...Ch. 18 - Three moles of an ideal gas are in a rigid cubical...Ch. 18 - With the assumptions of Example 18.4 (Section...Ch. 18 - With the assumption that the air temperature is a...Ch. 18 - (a) Calculate the mass of nitrogen present in a...Ch. 18 - At an altitude of 11,000 m (a typical cruising...Ch. 18 - Prob. 18.21ECh. 18 - Prob. 18.22ECh. 18 - Modern vacuum pumps make it easy to attain...Ch. 18 - The Lagoon Nebula (Fig. E18.24) is a cloud of...Ch. 18 - In a gas at standard conditions, what is the...Ch. 18 - How Close Together Are Gas Molecules? Consider an...Ch. 18 - (a) What is the total translational kinetic energy...Ch. 18 - A flask contains a mixture of neon (Ne), krypton...Ch. 18 - We have two equal-size boxes, A and B. Each box...Ch. 18 - A container with volume 1.64 L is initially...Ch. 18 - Prob. 18.31ECh. 18 - Martian Climate. The atmosphere of Mars is mostly...Ch. 18 - Prob. 18.33ECh. 18 - Calculate the mean free path of air molecules at...Ch. 18 - At what temperature is the root-mean-square speed...Ch. 18 - Prob. 18.36ECh. 18 - Prob. 18.37ECh. 18 - Perfectly rigid containers each hold n moles of...Ch. 18 - (a) Compute the specific heat at constant volume...Ch. 18 - Prob. 18.40ECh. 18 - Prob. 18.41ECh. 18 - For a gas of nitrogen molecules (N2), what must...Ch. 18 - Prob. 18.43ECh. 18 - Meteorology. The vapor pressure is the pressure of...Ch. 18 - Calculate the volume of 1.00 mol of liquid water...Ch. 18 - A physics lecture room at 1.00 atm and 27.0C has a...Ch. 18 - CP BIO The Effect of Altitude on the Lungs. (a)...Ch. 18 - CP BIO The Bends. If deep-sea divers rise to the...Ch. 18 - CP A hot-air balloon stays aloft because hot air...Ch. 18 - In an evacuated enclosure, a vertical cylindrical...Ch. 18 - A cylinder 1.00 m tall with inside diameter 0.120...Ch. 18 - CP During a test dive in 1939, prior to being...Ch. 18 - Atmosphere or Titan. Titan, the largest satellite...Ch. 18 - Pressure on Venus. At the surface of Venus the...Ch. 18 - An automobile tire has a volume of 0.0150 m3 on a...Ch. 18 - A flask with a volume of 1.50 L, provided with a...Ch. 18 - CP A balloon of volume 750 m3 is to be filled with...Ch. 18 - A vertical cylindrical tank contains 1.80 mol of...Ch. 18 - CP A large tank of water has a hose connected to...Ch. 18 - CP A light, plastic sphere with mass m = 9.00 g...Ch. 18 - Prob. 18.61PCh. 18 - BIO A person at rest inhales 0.50 L of air with...Ch. 18 - You have two identical containers, one containing...Ch. 18 - The size of an oxygen molecule is about 2.0 1010...Ch. 18 - A sealed box contains a monatomic ideal gas. The...Ch. 18 - Helium gas is in a cylinder that has rigid walls....Ch. 18 - You blow up a spherical balloon to a diameter of...Ch. 18 - CP (a) Compute the increase in gravitational...Ch. 18 - Prob. 18.69PCh. 18 - Prob. 18.70PCh. 18 - It is possible to make crystalline solids that are...Ch. 18 - Hydrogen on the Sun. The surface of the sun has a...Ch. 18 - Prob. 18.73PCh. 18 - Planetary Atmospheres. (a) The temperature near...Ch. 18 - Prob. 18.75PCh. 18 - Prob. 18.76PCh. 18 - CALC (a) Explain why in a gas of N molecules, the...Ch. 18 - Prob. 18.78PCh. 18 - CP Oscillations of a Piston. A vertical cylinder...Ch. 18 - Prob. 18.80PCh. 18 - DATA The Dew Point and Clouds. The vapor pressure...Ch. 18 - DATA The statistical quantities average value and...Ch. 18 - CP Dark Nebulae and the Interstellar Medium. The...Ch. 18 - CALC Earths Atmosphere. In t he troposphere, the...Ch. 18 - Prob. 18.85PPCh. 18 - Estimate the ratio of the thermal conductivity of...Ch. 18 - The rate of effusionthat is, leakage of a gas...
Additional Science Textbook Solutions
Find more solutions based on key concepts
70. * Determining the forces between powders and surfaces (adhesive forces) plays an important role in several ...
College Physics
Which of the two planets (Esus or Sulis) do you think will move around the central star in the least amount of ...
Lecture- Tutorials for Introductory Astronomy
Using the definitions in Eqs. 1.1 and 1.4, and appropriate diagrams, show that the dot product and cross produc...
Introduction to Electrodynamics
What pressure does light emitted uniformly in all directions from a 100-W incandescent light bulb exert on a mi...
University Physics Volume 2
Analyzing crystal diffraction is intimately tied to the various different geometries in which the atoms can be ...
Modern Physics
31.18 A resistor with R = 300 ? and an inductor are connected in series across an ac source that has voltage am...
University Physics (14th Edition)
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
- On a hot summer day, the density of air at atmospheric pressure at 35.0C is 1.1455 kg/m3. a. What is the number of moles contained in 1.00 m3 of an ideal gas at this temperature and pressure? b. Avogadros number of air molecules has a mass of 2.85 102 kg. What is the mass of 1.00 m3 of air? c. Does the value calculated in part (b) agree with the stated density of air at this temperature?arrow_forwardA vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P16.56). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find die height h in Figure P16.56. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder.arrow_forwardA sealed cubical container 20.0 cm on a side contains a gas with three times Avogadros number of neon atoms at a temperature of 20.0C. (a) Find the internal energy of the gas. (b) Find the total translational kinetic energy of the gas. (c) Calculate the average kinetic energy per atom, (d) Use Equation 10.13 to calculate the gas pressure. (e) Calculate the gas pressure using the ideal gas law (Eq. 10.8).arrow_forward
- A gas is at 200 K. If we wish to double the rms speed of the molecules of the gas, to what value must we raise its temperature? (a) 283 K (b) 400 K (c) 566 K (d) 800 K (e) 1 130 Karrow_forwardHow many moles are there in (a) 0.0500 g of N2 gas (M = 28.0 g/mol)? (b) 10.0 g of CO2 gas (M = 44.0 g/mol)? (c) How many molecules are present in each case?arrow_forwardAn ideal gas is trapped inside a tube of uniform cross-sectional area sealed at one end as shown in Figure P19.49. A column of mercury separates the gas from the outside. The tube can be turned in a vertical plane. In Figure P19.49A, the column of air in the tube has length L1, whereas in Figure P19.49B, the column of air has length L2. Find an expression (in terms of the parameters given) for the length L3 of the column of air in Figure P19.49C, when the tube is inclined at an angle with respect to the vertical. FIGURE P19.49arrow_forward
- Decades 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_forwardTwo containers hold an ideal gas at the same temperature and pressure. Both containers hold the same type of gas, but container B has twice the volume of container A. (i) What is the average translational kinetic energy per molecule in container B? (a) twice that of container A (b) the same as that of container A (c) half that of container A (d) impossible to determine (ii) From the same choices, describe the internal energy of the gas in container B.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
- A cylinder with a piston holds 0.50 m3 of oxygen at an absolute pressure of 4.0 atm. The piston is pulled outward, increasing the volume of the gas until the pressure drops to 1.0 atm. If the temperature stays constant, what new volume does the gas occupy? (a) 1.0 m3 (b) 1.5 m3 (c) 2.0 m3 (d) 0.12 m3 (e) 2.5 m3arrow_forwardA 40.0-g projectile is launched by the expansion of hot gas in an arrangement shown in Figure P12.4a. The cross sectional area of the launch tube is 1.0 cm2, and the length that the projectile travels down the tube after starting from rest is 52 cm. As the gas expands, the pressure varies as shown in Figure P12.4b. The values for the initial pressure and volume are P1 = 11 105 Pa and Vi = 8.0 cm3 while the final values are Pf = 1.0 105 Pa and Vf = 8.0 cm3. Friction between the projectile and the launch tube is negligible, (a) If the projectile is launched into a vacuum, what is the speed of the projectile as it leaves the launch tube? (b) If instead the projectile is launched into air at a pressure of 1.0 105 Pa. what fraction of the work done by the expanding gas in the tube is spent by the projectile pushing air out of the way as it proceeds down tile tube?arrow_forwardOne 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Kinetic Molecular Theory and its Postulates; Author: Professor Dave Explains;https://www.youtube.com/watch?v=o3f_VJ87Df0;License: Standard YouTube License, CC-BY