College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 15, Problem 72GP
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 solutionStudents have asked these similar questions
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.
Three moles of an ideal gas are in a rigid cubical box with sides of length 0.300 m. (a) What is the force that the gas exerts on each of the six sides of the box when the gas temperature is 20.0C? (b) What is the force when the temperature of the gas is increased to 100.0C?
Chapter 15 Solutions
College Physics (10th Edition)
Ch. 15 - In the ideal-gas equation could you give the...Ch. 15 - True or false? Equal masses of two different gases...Ch. 15 - How does evaporation of perspiration from your...Ch. 15 - The ideal-gas law is sometimes written in the form...Ch. 15 - (a) If you double the absolute temperature of an...Ch. 15 - Chemical reaction rates slow down as the...Ch. 15 - True or false? When two ideal gases are mixed,...Ch. 15 - Is it possible for a gas to expand and lose energy...Ch. 15 - The gas inside a balloon will always have a...Ch. 15 - When a gas expands adiabatically, it does work on...
Ch. 15 - Since Cv is defined with specific reference to a...Ch. 15 - The ratio y found in Equations 15.22 and 15.23...Ch. 15 - Prob. 1MCPCh. 15 - Prob. 2MCPCh. 15 - Prob. 3MCPCh. 15 - Prob. 4MCPCh. 15 - Prob. 5MCPCh. 15 - Prob. 6MCPCh. 15 - Assume you have n moles of an ideal gas initially...Ch. 15 - The formula U = nCvT for the change in the...Ch. 15 - For the process shown in the pV diagram in Figure...Ch. 15 - Prob. 10MCPCh. 15 - The gas shown in Figure 15.29 is in a completely...Ch. 15 - Prob. 12MCPCh. 15 - A cylindrical tank has a tight-fitting piston that...Ch. 15 - Prob. 2PCh. 15 - A 3.00 L tank contains air at 3.00 atm and 20.0C....Ch. 15 - A 20.0 L tank contains 0.225 kg of helium at...Ch. 15 - A room with dimensions 7.00 m by 8.00 m by 2.50 m...Ch. 15 - Three moles of an ideal gas are in a rigid cubical...Ch. 15 - A large cylindrical tank contains 0.750 m3 of...Ch. 15 - A 1.0 L canister contains 0.2 mole of helium gas....Ch. 15 - The gas inside a balloon will always have a...Ch. 15 - Prob. 10PCh. 15 - A diver observes a bubble of air rising from the...Ch. 15 - At an altitude of 11,000 m (a typical cruising...Ch. 15 - If a certain amount of ideal gas occupies a volume...Ch. 15 - Calculate the volume of 1.00 mol of liquid water...Ch. 15 - What volume does 2 mol of hydrogen gas (H2) occupy...Ch. 15 - The atmosphere of the planet Mars is 95.3% carbon...Ch. 15 - Find the mass of a single sulfur (S) atom and an...Ch. 15 - Prob. 18PCh. 15 - In the air we breathe at 72F and 1.0 atm pressure,...Ch. 15 - We have two equal-size boxes. A and B. Each box...Ch. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - A container of helium gas is heated until the...Ch. 15 - If 5 g of liquid helium is converted into a gas at...Ch. 15 - At what temperature is the root-mean-square speed...Ch. 15 - Where is the hydrogen? The average temperature of...Ch. 15 - Prob. 27PCh. 15 - STP. The conditions of standard temperature and...Ch. 15 - Prob. 29PCh. 15 - (a) How much heat does it take to increase the...Ch. 15 - (a) If you supply 1850 J of heat to 2.25 moles of...Ch. 15 - Suppose 100 J of heat flows into a diatomic ideal...Ch. 15 - Perfectly rigid containers each hold n moles of...Ch. 15 - Assume that the gases in this problem can be...Ch. 15 - A metal cylinder with rigid walls contains 2.50...Ch. 15 - A gas under a constant pressure of 1.50 105 Pa...Ch. 15 - Two moles of an ideal gas are heated at constant...Ch. 15 - Three moles of an ideal monatomic gas expand at a...Ch. 15 - Prob. 39PCh. 15 - Prob. 40PCh. 15 - A gas in a cylinder expands from a volume of 0.110...Ch. 15 - A gas in a cylinder is held at a constant pressure...Ch. 15 - Five moles of an ideal monatomic gas with an...Ch. 15 - When a system is taken from state a to state b in...Ch. 15 - An ideal gas expands while the pressure is Kept...Ch. 15 - You are keeping 1.75 moles of an ideal gas in a...Ch. 15 - Prob. 47PCh. 15 - A cylinder with a movable piston contains 3.00 mol...Ch. 15 - Figure 15.32 show a pV diagram for an ideal gas in...Ch. 15 - Figure 15.33 shows a pV diagram for an ideal gas...Ch. 15 - The pV diagram in Figure 15.34 shows a process abc...Ch. 15 - A volume of air (assumed to be an ideal gas) is...Ch. 15 - In the process illustrated by the pV diagram in...Ch. 15 - A cylinder contains 0.250 mol of carbon dioxide...Ch. 15 - Heating air in the lungs. Human lung capacity...Ch. 15 - The graph in Figure 15.37 shows a pV diagram for...Ch. 15 - An ideal gas at 4.00 atm and 350 K is permitted to...Ch. 15 - An experimenter adds 970 J of heat to 1.75 mol of...Ch. 15 - Heat Q flows into a monatomic ideal gas, and the...Ch. 15 - A player bounces a basketball on the floor,...Ch. 15 - In the pV diagram shown in Figure 15.38, 85.0 J of...Ch. 15 - Modern vacuum pumps make it easy to attain...Ch. 15 - Prob. 63GPCh. 15 - The effect of altitude on the lungs. (a) Calculate...Ch. 15 - (a) Calculate the mass of nitrogen present in a...Ch. 15 - An automobile tire has a volume of 0.0150 m3 on a...Ch. 15 - A student in a physics lab course has the task of...Ch. 15 - Prob. 68GPCh. 15 - Atmosphere of Titan. Titan, the largest satellite...Ch. 15 - Helium gas expands slowly to twice its original...Ch. 15 - A cylinder with a piston contains 0.250 mol of...Ch. 15 - You blow up a spherical balloon to a diameter of...Ch. 15 - A bicyclist uses a tire pump whose cylinder is...Ch. 15 - The bends. If deep-sea divers rise to the surface...Ch. 15 - 75. Figure 15.39 shows a pV diagram for 0.0040...Ch. 15 - Figure 15.40 Problem 76. The graph in Figure 15.40...Ch. 15 - A flask with a volume of 1.50 L, provided with a...Ch. 15 - Initially at a temperature of 80.0C, 0.28 m3 of...Ch. 15 - In a cylinder, 4.00 mol of helium initially at...Ch. 15 - Starting with 2.50 mol of N2 gas (assumed to be...Ch. 15 - Insulating windows. One way to improve insulation...Ch. 15 - Estimate the ratio of the thermal conductivity of...Ch. 15 - The rate of effusionthat is, the leakage of a gas...Ch. 15 - Prob. 84PPCh. 15 - In another test, the gas is put into a cylinder...Ch. 15 - You have a cylinder that contains 500 L of the gas...Ch. 15 - In a hospital, pure oxygen may be delivered at 50...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Description of Motion: Initially move away from the detector; maintain a constant negative acceleration.
Tutorials in Introductory Physics
Which of the three orbits shown below (A, B, or C) would you say most closely matches the shape of Earth's orbi...
Lecture- Tutorials for Introductory Astronomy
Choose the best answer to each of the following. Explain your reasoning. Based on current data, planetary syste...
The Cosmic Perspective Fundamentals (2nd Edition)
(II) A thin rod of mass M and length ℓ is suspended vertically from a frictionless pivot at its upper end. A ma...
Physics for Scientists and Engineers with Modern Physics
Write each number in decimal form.
27. 7.77 × 108
Applied Physics (11th Edition)
(a) Show that .
[Hint: Use integration by parts.]
(b) Let be the step function: . (1.95)
Show that .
Introduction to Electrodynamics
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 LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege 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