Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 19, Problem 36PQ
To determine
The description of the changes in the ideal gas in the balloon from its
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2090 m3
a. What is the density of air inside the balloon, in terms of the pressure P, temperature T, molar mass M, and the gas constant R?
b. How much mass can this balloon lift (in addition to the mass of the gas inside) in terms the balloon volume Vb, the atmosphere air density ρa, the density of the air in the balloon ρg, and the gravitational acceleration g?
c. If the air temperature in the balloon is 54 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.
A high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 1.55 × 107 Pa and a temperature of 25.0°C. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature (-78.5°C) to reduce the leak rate and pressure so that it can be safely repaired.
a. What is the final pressure, in pascals, in the tank, assuming a negligible amount of gas leaks while being cooled and that there is no phase change?
b. What is the final pressure, in pascals, if one-tenth of the gas escapes during this process?
c. To what temperature, in kelvins, must the tank be cooled from its initial state to reduce the pressure to 1.00 atm (assuming the gas does not change phase and that there is no leakage during cooling)?
P1. Consider a gas of oxygen atoms (µo, = 32 g/mol). What should the temperature of
the gas be for the mean square speed of the atoms to be v = 100 m/s? While keeping the
temperature the same as before, what should the pressure of the gas be for a container of
volume V = 51 to be able to contain m =
1 kg of oxygen? How much does the temperature
of the gas increase if the container is dropped on the ground at a speed of u = 2 m/s? You
may neglect thermal conduction with the outside.
Chapter 19 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 19.1 - The Fahrenheit scale remains useful in part due to...Ch. 19.2 - Prob. 19.2CECh. 19.3 - Prob. 19.3CECh. 19.3 - Prob. 19.4CECh. 19.4 - Prob. 19.5CECh. 19.5 - Prob. 19.6CECh. 19.6 - Prob. 19.7CECh. 19 - Prob. 1PQCh. 19 - Prob. 2PQCh. 19 - Prob. 3PQ
Ch. 19 - Prob. 4PQCh. 19 - Prob. 5PQCh. 19 - Prob. 6PQCh. 19 - Prob. 7PQCh. 19 - Prob. 8PQCh. 19 - Object A is placed in thermal contact with a very...Ch. 19 - Prob. 10PQCh. 19 - Prob. 11PQCh. 19 - Prob. 12PQCh. 19 - Prob. 13PQCh. 19 - The tallest building in Chicago is the Willis...Ch. 19 - Prob. 15PQCh. 19 - Prob. 16PQCh. 19 - At 22.0C, the radius of a solid aluminum sphere is...Ch. 19 - Prob. 18PQCh. 19 - Prob. 19PQCh. 19 - Prob. 20PQCh. 19 - The distance between telephone poles is 30.50 m in...Ch. 19 - Prob. 22PQCh. 19 - Prob. 23PQCh. 19 - Prob. 24PQCh. 19 - Prob. 25PQCh. 19 - Prob. 26PQCh. 19 - Prob. 27PQCh. 19 - Prob. 28PQCh. 19 - Prob. 29PQCh. 19 - Prob. 30PQCh. 19 - Prob. 31PQCh. 19 - Prob. 32PQCh. 19 - Prob. 33PQCh. 19 - Prob. 34PQCh. 19 - Prob. 35PQCh. 19 - Prob. 36PQCh. 19 - Prob. 37PQCh. 19 - Prob. 38PQCh. 19 - Prob. 39PQCh. 19 - On a hot summer day, the density of air at...Ch. 19 - Prob. 41PQCh. 19 - Prob. 42PQCh. 19 - Prob. 43PQCh. 19 - Prob. 44PQCh. 19 - Prob. 45PQCh. 19 - Prob. 46PQCh. 19 - Prob. 47PQCh. 19 - A triple-point cell such as the one shown in...Ch. 19 - An ideal gas is trapped inside a tube of uniform...Ch. 19 - Prob. 50PQCh. 19 - Prob. 51PQCh. 19 - Case Study When a constant-volume thermometer is...Ch. 19 - An air bubble starts rising from the bottom of a...Ch. 19 - Prob. 54PQCh. 19 - Prob. 55PQCh. 19 - Prob. 56PQCh. 19 - Prob. 57PQCh. 19 - Prob. 58PQCh. 19 - Prob. 59PQCh. 19 - Prob. 60PQCh. 19 - Prob. 61PQCh. 19 - Prob. 62PQCh. 19 - Prob. 63PQCh. 19 - Prob. 64PQCh. 19 - Prob. 65PQCh. 19 - Prob. 66PQCh. 19 - Prob. 67PQCh. 19 - Prob. 68PQCh. 19 - Prob. 69PQCh. 19 - Prob. 70PQCh. 19 - Prob. 71PQCh. 19 - A steel plate has a circular hole drilled in its...Ch. 19 - Prob. 73PQCh. 19 - A gas is in a container of volume V0 at pressure...Ch. 19 - Prob. 75PQCh. 19 - Prob. 76PQCh. 19 - Prob. 77PQCh. 19 - Prob. 78PQCh. 19 - Prob. 79PQCh. 19 - Prob. 80PQCh. 19 - Two glass bulbs of volumes 500 cm3 and 200 cm3 are...
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
- A gas is in a container of volume V0 at pressure P0. It is being pumped out of the container by a piston pump. Each stroke of the piston removes a volume Vs through valve A and then pushes the air out through valve B as shown in Figure P19.74. Derive an expression that relates the pressure Pn of the remaining gas to the number of strokes n that have been applied to the container. FIGURE P19.74arrow_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(a) An ideal gas occupies a volume of 1.0 cm3 at 20.C and atmospheric pressure. Determine the number of molecules of gas in the container, (b) If the pressure of the 1.0-cm3 volume is reduced to 1.0 1011 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?arrow_forward
- (a) An ideal gas occupies a volume of 1.0 cm3 at 20.C and atmospheric pressure. Determine the number of molecules of gas in the container, (b) If the pressure of the 1.0-cm3 volume is reduced to 1.0 1011 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?arrow_forward(a) What is me gauge pressure in a 25.0C car tire containing 3.60 mol of gas in a 30.0 L volume? (b) What will its gauge pressure be if you add 1.00 L of gas originally at atmospheric pressure and 25.0C ? Assume the temperature returns to 25.0C and me volume remains constant.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
- Review. (a) Derive an expression for the buoyant force on a spherical balloon, submerged in water, as a function of the depth h below the surface, the volume Vi of the balloon at the surface, the pressure P0 at the surface, and the density w of the water. Assume the water temperature does not change with depth, (b) Does the bouyant force increase or decrease as the balloon is submerged? (c) At what depth is the buoyant force one-half the surface value?arrow_forwardA vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P18.40). 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 the height h in Figure P18.40. (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. Figure P18.40arrow_forwardThe mass of a single hydrogen molecule is approximately 3.32 1027 kg. There are 5.64 1023 hydrogen molecules in a box with square walls of area 49.0 cm2. If the rms speed of the molecules is 2.72 103 m/s, calculate the pressure exerted by the gas.arrow_forward
- A person is in a closed room (a racquetball court) with v=453 m3 hitting a ball (m 42.0 g) around at random without any pauses. The average kinetic energy of the ball is 2.30 J. (a) What is the average value of vx2 ? Does it matter which direction you take to be x ? (b) Applying the methods of this chapter, find the average pressure on the walls? (c) Aside from the presence of only one "molecule" in this problem, what is the main assumption in Pressure, Temperature, and RMS Speed that does not apply here?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_forward(a) In the deep space between galaxies, me density of atoms is as low as 106atoms/m3, and me temperature is a frigid 2.7 K. What is me pressure? (b) What volume (in m3) is occupied by 1 mol of gas? (c) If this volume is a cube, what is the length of its sides in kilometers?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
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, 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:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Thermodynamics: Crash Course Physics #23; Author: Crash Course;https://www.youtube.com/watch?v=4i1MUWJoI0U;License: Standard YouTube License, CC-BY