EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 19, Problem 59P
(II) Show, using Eqs. 19–6 and 19–15, that the work done by a gas that slowly expands adiabatically from pressure P1 and volume V1, to P2 and V2, is given by W = (P1V1 − P2V2)/(γ − 1).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
(b) Air at 5000 kPa and 300 K is flowing through a pipeline. An evacuated and insulated cylinder
of volume 0.1 m' is connected to the pipeline through a valve. The valve is opened and the
cylinder is filled with air till the pressure in the cylinder reaches the line pressure. The valve is
then closed. Assuming that the air behaves like an ideal gas with Y = 1.4, determine the
temperature of the air in the cylinder at the end of the filling operation and the mass of air that is
filled in the cylinder.
One mole of an ideal gas initially at a temperature of T: = 4.8°C undergoes an expansion at a constant pressure of 1.00 atmn to seven times its original volume.
(a) Calculate the new temperature T of the gas.
K
(b) Calculate the work done on the gas during the expansion.
k]
Need Help?
Read It
Watch It
(i) State the assumptions made in deriving the
expression P = pc² for a fixed mass of deal gas.
(ii) Estimate the Kinetic energy of a steam molecule
at 11 00C.
Chapter 19 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 19.2 - Return to the Chapter-Opening Question, page 496,...Ch. 19.5 - Prob. 1BECh. 19.5 - Prob. 1CECh. 19.5 - How much more ice at 10C would be needed in...Ch. 19.6 - What would be the internal energy change in...Ch. 19.7 - Is the work done by the gas in process ADB of Fig....Ch. 19.7 - In Example 1910, if the heat lost from the gas in...Ch. 19.10 - Prob. 1HECh. 19.10 - Fanning yourself on a hot day cools you by (a)...Ch. 19 - What happens to the work done on a jar of orange...
Ch. 19 - Prob. 2QCh. 19 - Prob. 3QCh. 19 - Prob. 4QCh. 19 - Prob. 5QCh. 19 - Why does water in a canteen stay cooler if the...Ch. 19 - Explain why burns caused by steam at 100C on the...Ch. 19 - Prob. 8QCh. 19 - Will potatoes cook faster if the water is boiling...Ch. 19 - Prob. 10QCh. 19 - Use the conservation of energy to explain why the...Ch. 19 - Explorers on failed Arctic expeditions have...Ch. 19 - Why is wet sand at the beach cooler to walk on...Ch. 19 - When hot-air furnaces are used to heat a house,...Ch. 19 - Prob. 15QCh. 19 - An ideal monatomic gas is allowed to expand slowly...Ch. 19 - Ceiling fans are sometimes reversible, so that...Ch. 19 - Goose down sleeping bags and parkas are often...Ch. 19 - Microprocessor chips nowadays have a heat sink...Ch. 19 - Sea breezes are often encountered on sunny days at...Ch. 19 - The Earth cools off at night much more quickly...Ch. 19 - Explain why air-temperature readings are always...Ch. 19 - A premature baby in an incubator can be...Ch. 19 - A 22C day is warm, while a swimming pool at 22C...Ch. 19 - Prob. 25QCh. 19 - Prob. 26QCh. 19 - Prob. 27QCh. 19 - Prob. 28QCh. 19 - Prob. 29QCh. 19 - Prob. 30QCh. 19 - Prob. 31QCh. 19 - Prob. 32QCh. 19 - An emergency blanket is a thin shiny...Ch. 19 - Explain why cities situated by the ocean tend to...Ch. 19 - Prob. 1MCQCh. 19 - Prob. 2MCQCh. 19 - Prob. 3MCQCh. 19 - Prob. 4MCQCh. 19 - Prob. 5MCQCh. 19 - Prob. 6MCQCh. 19 - Prob. 7MCQCh. 19 - Prob. 8MCQCh. 19 - Prob. 9MCQCh. 19 - Prob. 10MCQCh. 19 - Prob. 11MCQCh. 19 - Prob. 12MCQCh. 19 - Prob. 13MCQCh. 19 - Prob. 1PCh. 19 - Prob. 2PCh. 19 - Prob. 3PCh. 19 - (II) A British thermal unit (Btu) is a unit of...Ch. 19 - Prob. 5PCh. 19 - Prob. 6PCh. 19 - Prob. 7PCh. 19 - (I) An automobile cooling system holds 18 L of...Ch. 19 - Prob. 9PCh. 19 - Prob. 10PCh. 19 - Prob. 11PCh. 19 - (II) When a 290-g piece of iron at 180C is placed...Ch. 19 - Prob. 13PCh. 19 - Prob. 14PCh. 19 - Prob. 15PCh. 19 - (II) The heat capacity. C, of an object is defined...Ch. 19 - (II) The 1.20-kg head of a hammer has a speed of...Ch. 19 - Prob. 18PCh. 19 - Prob. 19PCh. 19 - Prob. 20PCh. 19 - Prob. 21PCh. 19 - Prob. 22PCh. 19 - Prob. 23PCh. 19 - Prob. 24PCh. 19 - (II) High-altitude mountain climbers do not eat...Ch. 19 - Prob. 26PCh. 19 - Prob. 27PCh. 19 - Prob. 28PCh. 19 - Prob. 29PCh. 19 - Prob. 30PCh. 19 - Prob. 31PCh. 19 - Prob. 32PCh. 19 - Prob. 33PCh. 19 - Prob. 34PCh. 19 - Prob. 35PCh. 19 - Prob. 36PCh. 19 - Prob. 37PCh. 19 - Prob. 38PCh. 19 - (II) Consider the following two-step process. Heat...Ch. 19 - Prob. 40PCh. 19 - Prob. 41PCh. 19 - Prob. 42PCh. 19 - Prob. 43PCh. 19 - Prob. 44PCh. 19 - (III) Determine the work done by 1.00 mol of a van...Ch. 19 - Prob. 46PCh. 19 - (III) In the process of taking a gas from state a...Ch. 19 - (III) Suppose a gas is taken clockwise around the...Ch. 19 - Prob. 49PCh. 19 - Prob. 50PCh. 19 - Prob. 51PCh. 19 - Prob. 52PCh. 19 - What gas is it? (II) Show that the work done by n...Ch. 19 - Prob. 54PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - (I) A 1.00-mol sample of an ideal diatomic gas,...Ch. 19 - (II) Show, using Eqs. 196 and 1915, that the work...Ch. 19 - (III) A 3.65-mol sample of an ideal diatomic gas...Ch. 19 - Prob. 61PCh. 19 - (III) A 1.00-mol sample of an ideal monatomic gas,...Ch. 19 - (III) Consider a parcel of air moving to a...Ch. 19 - Prob. 64PCh. 19 - Prob. 65PCh. 19 - Prob. 66PCh. 19 - Prob. 67PCh. 19 - Prob. 68PCh. 19 - Prob. 69PCh. 19 - Prob. 70PCh. 19 - Prob. 71PCh. 19 - (III) A cylindrical pipe has inner radius R1 and...Ch. 19 - Prob. 73PCh. 19 - Prob. 74GPCh. 19 - Prob. 75GPCh. 19 - Prob. 76GPCh. 19 - Prob. 77GPCh. 19 - Prob. 78GPCh. 19 - Prob. 79GPCh. 19 - Prob. 80GPCh. 19 - Prob. 81GPCh. 19 - Prob. 82GPCh. 19 - Prob. 83GPCh. 19 - Prob. 84GPCh. 19 - Prob. 85GPCh. 19 - Prob. 86GPCh. 19 - Prob. 87GPCh. 19 - The temperature of the glass surface of a 75-W...Ch. 19 - Prob. 90GPCh. 19 - A scuba diver releases a 3.60-cm-diameter...Ch. 19 - Suppose 3.0 mol of neon (an ideal monatomic gas)...Ch. 19 - Prob. 93GPCh. 19 - A diesel engine accomplishes ignition without a...Ch. 19 - Prob. 95GPCh. 19 - Prob. 96GPCh. 19 - Prob. 97GPCh. 19 - Prob. 98GPCh. 19 - Prob. 99GPCh. 19 - Prob. 100GPCh. 19 - Prob. 101GPCh. 19 - Prob. 102GPCh. 19 - Prob. 103GPCh. 19 - Prob. 104GP
Additional Science Textbook Solutions
Find more solutions based on key concepts
Why is it necessary to be in a pressurized cabin when flying at 30,000 feet?
Anatomy & Physiology (6th Edition)
27. Consider the reaction.
Express the rate of the reaction in terms of the change in concentration of each of...
Chemistry: Structure and Properties (2nd Edition)
Some organizations are starting to envision a sustainable societyone in which each generation inherits sufficie...
Campbell Essential Biology (7th Edition)
Which of the following factors would tend to increase membrane fluidity? A. a greater proportion of unsaturated...
Campbell Biology in Focus (2nd Edition)
1.14 Classify each of the following as a pure substance or a mixture. If a mixture, indicate whether it is homo...
Chemistry: The Central Science (14th Edition)
Endospore formation is called (a) _____. It is initiated by (b) _____. Formation of a new cell from an endospor...
Microbiology: An Introduction
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
- An ideal gas has a pressure of 0.50 atm and a volume of 10 L. It is compressed adiabatically and quasi-statically until its pressure is 3.0 atm and its volume is 2.8 L. Is the monatomic, diatomic, or polyatomic?arrow_forwardTwo moles of a monatomic ideal gas such as oxygen is compressed adiabatically and reversibly from a state (3 atm, 5 L) to a state with a pressure of 4 atm. (a) Find the volume and temperature of the final state. (b) Find the temperature of the initial state. (c) Find work done by the gas in the process. (d) Find the change in internal energy in the process. Assume Cv=5R and Cp=Cv+R for the diatomic ideal gas in the conditions given.arrow_forwardIn a diesel engine, the fuel is ignited without a spark plug. Instead, air in a cylinder is compressed adiabatically to a temperature above the ignition temperature of the fuel; at the point of maximum compression, the fuel is injected into the cylinder. Suppose that air at 20 C is taken into the cylinder at a volume V1 and then compressed adiabatically and quasi-statically to a temperature of 600 C and a volume V2 . If =1.4 , what is the ratio V1/V2 ? (Note: static. In an operating diesel engine, the compression is not quasi-arrow_forward
- Two moles of nitrogen gas, with =7/5 for ideal diatomic gases, occupies a volume of 102 m3 in an insulated cylinder at temperature 300 K. The gas is adiabatically and reversibly compressed to a volume of 5 L. The piston of the cylinder is locked in its place, and the insulation around the cylinder is removed. The heat-conducting cylinder is then placed in a 300-K bath. Heat from the compressed gas leaves the gas, and the temperature of the gas becomes 300 K again. The gas is then slowly expanded at the fixed temperature 300 K until the volume of the gas becomes 102 m3, thus making a complete cycle for the gas. For the entire cycle, calculate (a) the work done by the gas, (b) the heat into or out of the gas, (c) the change in the internal energy of the gas, and (d) the change in entropy of the gas.arrow_forwardConsider a cylinder with a movable piston containing n moles of an ideal gas. The entire apparatus is immersed in a constant temperature bath of temperature T kelvin. The piston is then pushed slowly so that pressure of the gas changes quasi-statically from p1 to p2 at constant temperature T. Find the work done by the gas in terms of n, R T, p1 , and p2 .arrow_forwardAn ideal gas expands quasi-statically and isothermally from a state with pressure p and volume V to a state with volume 4V. Show that the work done by the gas in the expansion is pV(ln 4).arrow_forward
- A car tile contains 0.0380 m3 of air at a pressure of 2.20105 Pa (about 32 psi). How much more internal energy does this gas have than the same volume has at zero gauge pressure (which is equivalent to normal atmospheric pressure)?arrow_forwardTwo moles of a monatomic ideal gas such as helium is compressed adiabatically and reversibly from a state (3 atm, 5 L) to a state with pressure 4 atm. (a) Find the volume and temperature of the final state. (b) Find the temperature of the initial state of the gas. (c) Find the work done by the gas in the process. (d) Find the change in internal energy of the gas in the process.arrow_forwardRepeat the preceding problem for nitrogen molecules at 295 K.arrow_forward
- An ideal diatomic gas at 80 K is slowly compressed adiabatically to one-third its original volume. What is its final temperature?arrow_forwardAn ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in its internal energy and (b) its final temperature?arrow_forwardAn amount of n moles of a monatomic ideal gas in a conducting container with a movable piston is placed in a large thermal heat bath at temperature T1 and the gas is allowed to come to equilibrium. After the equilibrium is leached, the pressure on the piston is lowered so that the gas expands at constant temperature. The process is continued quasi-statically until the final pressure is 4/3 of the initial pressure p1 . (a) Find the change in the internal energy of the gas. (b) Find the work done by the gas. (c) Find the heat exchanged by the gas, and indicate, whether the gas takes in or gives up heat.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 Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher: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: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
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