University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 3, Problem 19P
A gas follows 
on an isothermal curve, where p is the pressure, V is the volume, b is a constant, and c is a function of temperature. Show that a temperature scale under an isochoric process can be established with this gas and is identical to that of an ideal gas.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A gas follows pV = bp + cT on an isothermal curve, where p is the pressure, V is the volume, b is a constant, and c is a function of temperature. Show that a temperature scale under an isochoric process can be established with this gas and is identical to that of an ideal gas.
A gas follows pV= bp + cT n an isothermal curve, where p is the pressure, V is the volume, b is a constant, and c is a function of temperature. Show that a temperature scale under an isochoric process can be estalished with this gas and is identical to thag of an ideal gas.
Consider 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 pushes slowly outward on an external body which matches the force momentarily at each instant so that the gas expands quasi-statically from a volume V1 to V2 at constant temperature T. The isothermal process is shown in the figure above, where the pressure p is related to the volume V by the ideal gas law as follows: pV = nRT, where R is the gas constant. Write an expression for the work W done by the gas on the external body. For n = 6 moles, T = 285 K, and V2 = 4.5V1, determine the work done by the gas on the external body. The gas constant is R = 8.314 J K-1 mol-1.
Chapter 3 Solutions
University Physics Volume 2
Ch. 3 - The paths ABC, AC, and ADC represent three...Ch. 3 - Check Your Understanding The quantities below...Ch. 3 - Check Your Understanding Why was it necessary to...Ch. 3 - Check Your Understanding When 1.00 g of ammonia...Ch. 3 - Consider these scenarios and state whether work is...Ch. 3 - Is it possible to determine whether a change in...Ch. 3 - When a liquid is vaporized, its change in internal...Ch. 3 - Why does a bicycle pump feel warm as you inflate...Ch. 3 - Is it possible for the temperature of a system to...Ch. 3 - What does the first law of thermodynamics tell us...
Ch. 3 - Does adding heat to a system always increase its...Ch. 3 - A great deal of effort, time, and money has been...Ch. 3 - When a gas expands isothermally, it does work....Ch. 3 - If the pressure and volume of a system are given,...Ch. 3 - It is unlikely that a process can be isothermal...Ch. 3 - How can an object transfer heat if the object does...Ch. 3 - Most materials expand when heated. One notable...Ch. 3 - Why are there two specific heats for gases Cp and...Ch. 3 - Is it possible for to be smaller than unity? `Ch. 3 - Would you expect to be larger for a gas or a...Ch. 3 - There is no change in the internal of an ideal gas...Ch. 3 - Does a gas do any work when it expands...Ch. 3 - A gas follows on an isothermal curve, where p is...Ch. 3 - A mole of gas has isobaric expansion coefficient...Ch. 3 - Find the equation of state of a solid that has an...Ch. 3 - A gas at a pressure of 2.00 atm undergoes a...Ch. 3 - It takes 500 J of work to compress...Ch. 3 - It is found that, when a dilute gas expands...Ch. 3 - In a quasi-static isobaric expansion. 500 J of...Ch. 3 - When a gas undergoes a quasi-static isobaric...Ch. 3 - An ideal gas expands quasi-statically and...Ch. 3 - As shown below, calculate the work done by the gas...Ch. 3 - (a) Calculate the work done by the gas along the...Ch. 3 - An ideal gas expands quasi-statically to three...Ch. 3 - A dilute gas at a pressure of 2.0 atm and a volume...Ch. 3 - What is the average mechanical energy of the atoms...Ch. 3 - What is the internal energy of 6.00 mol of an...Ch. 3 - Calculate the internal energy of 15 mg of helium...Ch. 3 - Two monatomic ideal gases A and B are at the same...Ch. 3 - The van der Waals coefficients for oxygen are...Ch. 3 - Find the work done in the quasi-static processes...Ch. 3 - When a dilute gas expands quasi-statically from...Ch. 3 - In a quasi-static isobaric expansion, 500 J of...Ch. 3 - An ideal gas quasi-statically and isothermally...Ch. 3 - As shown below, if the heat absorbed by the gas...Ch. 3 - During the isobaric expansion from A to B...Ch. 3 - (a) What is the change in internal energy for the...Ch. 3 - When a gas expands along path AC shown below, it...Ch. 3 - When a gas expands along AB (see below), it does...Ch. 3 - A dilute gas is stored in the left chamber of a...Ch. 3 - Ideal gases A and B are stored in the left and...Ch. 3 - An ideal monatomic gas at a pressure of 2.0105N/m2...Ch. 3 - Consider the process for steam in a cylinder shown...Ch. 3 - The state of 30 moles of steam in a cylinder is...Ch. 3 - A monatomic ideal gas undergoes a quasi-static...Ch. 3 - A metallic container of fixed volume of 2.5103 m3...Ch. 3 - A gas in a cylindrical closed container is...Ch. 3 - Two moles of a monatomic ideal gas at (5 MPa, 5 L)...Ch. 3 - Consider a transformation from point A to B in a...Ch. 3 - Consider a cylinder with a movable piston...Ch. 3 - An ideal gas expands isothermally along AB and...Ch. 3 - Consider the processes shown below. In the...Ch. 3 - Two moles of helium gas axe placed in a...Ch. 3 - An amount of n moles of a monatomic ideal gas in a...Ch. 3 - The temperature of an ideal monatomic gas rises by...Ch. 3 - For a temperature increase of 10 at constant...Ch. 3 - If the gases of the preceding problem are...Ch. 3 - Consider 0.40 mol of dilute carbon dioxide at a...Ch. 3 - When 400 J of heat are slowly added to 10 mol of...Ch. 3 - One of a dilute diatomic gas occupying a volume of...Ch. 3 - A monatomic ideal gas undergoes a quasi-static...Ch. 3 - An ideal gas has a pressure of 0.50 atm and a...Ch. 3 - Pressure and volume measurements of a dilute gas...Ch. 3 - An ideal monatomic gas at 300 K expands...Ch. 3 - An ideal diatomic gas at 80 K is slowly compressed...Ch. 3 - An ideal diatomic gas at 80 K is slowly compressed...Ch. 3 - Compare the charge in internal energy of an ideal...Ch. 3 - The temperature of n moles of an ideal gas changes...Ch. 3 - A dilute gas expands quasi-statically to three...Ch. 3 - (a) An ideal gas expands adiabatically from a...Ch. 3 - On an adiabatic process of an ideal gas pressure,...Ch. 3 - Two moles of a monatomic ideal gas such as helium...Ch. 3 - Consider the process shown below. During steps AB...Ch. 3 - A car tile contains 0.0380 m3 of air at a pressure...Ch. 3 - A helium-filled toy balloon has a gauge pressure...Ch. 3 - Steam to drive an old-fashioned steam locomotive...Ch. 3 - A hand-driven tire pump has a piston with a...Ch. 3 - Calculate the net work output of a heat engine...Ch. 3 - What is the net work output of a heat engine that...Ch. 3 - Five moles of a monatomic ideal gas in a cylinder...Ch. 3 - Four moles of a monatomic ideal gas in a cylinder...Ch. 3 - Helium gas is cooled from 20 to 10 by expanding...Ch. 3 - In an adiabatic process, oxygen gas in a container...Ch. 3 - A cylinder containing three moles of a monatomic...Ch. 3 - A cylinder containing three moles of nitrogen gas...Ch. 3 - Two moles of a monatomic ideal gas such as oxygen...Ch. 3 - An insulated vessel contains 1.5 moles of argon at...Ch. 3 - One mole of an ideal monatomic gas occupies a...Ch. 3 - One mole of an ideal gas is initially in a chamber...Ch. 3 - A bullet of mass 10 g is traveling horizontally at...Ch. 3 - The insulated cylinder shown below is closed at...Ch. 3 - In a diesel engine, the fuel is ignited without a...
Additional Science Textbook Solutions
Find more solutions based on key concepts
8. A human maintaining a vegan diet (containing no animal products) would be a:
a. producer
b. primary consume...
Human Biology: Concepts and Current Issues (8th Edition)
Draw the structure of the monomer or monomers used to synthesize the following polymers, and indicate whether e...
Organic Chemistry (8th Edition)
Police Captain Jeffers has suffered a myocardial infarction. a. Explain to his (nonmedically oriented) family w...
Human Physiology: An Integrated Approach (8th Edition)
23. How many significant figures are there in the following values?
a. 0.05 × 10-4 b. 0.00340
c. 7.2 × 104 ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
10.71 Identify each of the following as an acid or a base: (10.1)
H2SO4
RbOH
Ca(OH)2
HI
...
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
explain the function of fermentation and the conditions under which it occurs?
Biology: Life on Earth with Physiology (11th 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
- One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of about 14,0 mol/m3 and a temperature of about 60 . (a) Is CO2 a solid, liquid, gas, or supercritical fluid under those conditions? (b) The van der Waals constants for carbon dioxide are a=0.3658 Pa m6/mol2 and b=4.286105 m3/mol. Using the van der Waals equation, estimate pressure of CO2 at that temperature and density. `arrow_forwardA sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P17.68). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state. (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally. (f) Find Q, W, and Eint for each of the processes. (g) For the whole cycle A B C A, find Q, W, and Eint. Figure P17.68arrow_forwardA 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.00 atm and a volume of 12.0 L to a final volume of 30.0 L. (a) What is the final pressure of the gas? (b) What are the initial and final temperatures? Find (c) Q, (d) Eint, and (e) W for the gas during this process.arrow_forward
- For a temperature increase of 10 at constant volume, what is the heat absorbed by (a) 3.0 mol of a dilute monatomic gas; (b) 0.50 mol of a dilute diatomic gas; and (c) 15 mol of a dilute polyatomic gas?arrow_forwardAn ideal gas with specific heat ratio confined to a cylinder is put through a closed cycle. Initially, the gas is at Pi, Vi, and Ti. First, its pressure is tripled under constant volume. It then expands adiabatically to its original pressure and finally is compressed isobarically to its original volume. (a) Draw a PV diagram of this cycle. (b) Determine the volume at the end of the adiabatic expansion. Find (c) the temperature of the gas at the start of the adiabatic expansion and (d) the temperature at the end of the cycle. (e) What was the net work done on the gas for this cycle?arrow_forwardIf a gas is compressed isothermally, which of the following statements is true? (a) Energy is transferred into the gas by heat. (b) No work is done on the gas. (c) The temperature of the gas increases. (d) The internal energy of the gas remains constant. (e) None of those statements is true.arrow_forward
- As shown below, calculate the work done by the gas in the quasi-static processes represented by the paths (a) AB; (b) ADB; (c) ACB; and (d) ADCB. `arrow_forwardA 1.00-mol sample of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate (a) the energy transferred to the gas by heat, (b) the increase in its internal energy, and (c) the work done on the gas.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
- A dilute gas at a pressure of 2.0 atm and a volume of 4.0 L is taken through the following quasi-static steps: (a) an isobaric expansion to a volume of 10.0 L, (b) an isochoric change to a pressure of 0.50 atm, (c) an isobaric compression to a volume of 4.0 L, and (d) an isochoric change to a pressure of 2.0 atm. Show these steps on a PV diagram and determine from your graph the net work done by the gas.arrow_forwardOne of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?arrow_forwardTwo moles of a monatomic ideal gas at (5 MPa, 5 L) is expanded isothermally until the volume is doubled (step 1). Then it is cooled isochorically until the pressure is 1 MPa (step 2). The temperature drops in this process. The gas is now compressed isothermally until its volume is back to 5 L, but its pressure is now 2 MPa (step 3). Finally, the gas is heated isochorically to return to the initial state (step 4). (a) Draw the four pi-cresses in the pV plane. (b) Find the total work done by the gas.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
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher: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
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
The Laws of Thermodynamics, Entropy, and Gibbs Free Energy; Author: Professor Dave Explains;https://www.youtube.com/watch?v=8N1BxHgsoOw;License: Standard YouTube License, CC-BY