We now consider three moles of ideal gas at the same initial state (3.0 L at 273 K). This time, we will first perform an isobaric compression, then an isothermal expansion to bring the gas to the final state with the same volume of 3.0 L, and at temperature 110 K. (a) How much work (in J) is done on the gas during the isobaric compression? (b) How much work (in J) is done on the gas during the isothermal expansion?
We now consider three moles of ideal gas at the same initial state (3.0 L at 273 K). This time, we will first perform an isobaric compression, then an isothermal expansion to bring the gas to the final state with the same volume of 3.0 L, and at temperature 110 K. (a) How much work (in J) is done on the gas during the isobaric compression? (b) How much work (in J) is done on the gas during the isothermal expansion?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
We now consider three moles of ideal gas at the same initial state (3.0 L at 273 K). This time, we will first perform an isobaric compression, then an isothermal expansion to bring the gas to the final state with the same volume of 3.0 L, and at temperature 110 K.
(a)
How much work (in J) is done on the gas during the isobaric compression?
(b)
How much work (in J) is done on the gas during the isothermal expansion?
![2. [0/1 Points] DETAILS
An Isothermal Expansion
A 3.0 mol sample of an ideal gas is kept at 0.0°C during an expansion from 3.0 L to 10.0 L.
AEnt
PREVIOUS ANSWERS SERPSE10 19.AE.005.
W
W = nRT In
Q @
P
V;
Q = -W = 8202.55510✔ J
Isotherm
PV= constant
The curve is a
hyperbola.
V
(a) How much work is done on the gas during the expansion?
SOLUTION
Conceptualize Run the process in your mind: the cylinder in the figure is immersed in an ice-water bath, and the piston moves outward so that the volume of the gas increases
process.
Categorize We will evaluate parameters using equations developed in the preceding sections, so we categorize this example as a substitution problem. Because the temperature of the gas is fixed, the process is isothermal
Substitute the given values into the following equation (Enter your answer in J):
In(V) = -8202.55510✔ J
Ⓡ
(b) How much energy transfer by heat occurs between the gas and its surroundings in this process?
SOLUTION
Find the heat from the first law (Enter your answer in J):
AE int = Q + W
0 = Q + W
MY NOTES
✓ . You can also use the graphical representation shown above to conceptualize the
(c) If the gas is returned to the original volume by means of an isobaric process, how much work is done on the gas?
SOLUTION
Use W = -P(VF - V;). The pressure is not given, so incorporate the ideal gas law (Enter your answer in J. Note the initial and final volumes for this process are different than for the process in part (a).):
nRT₁
W = P(VF-V₁) ==
V₁
(VV) 4769.03511 ✓ J](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2cb6350-d8f3-4939-9e5c-babf9f01f874%2F83f83e50-8cc5-4d53-afd8-9d95a1231a42%2Fp5f6f2_processed.png&w=3840&q=75)
Transcribed Image Text:2. [0/1 Points] DETAILS
An Isothermal Expansion
A 3.0 mol sample of an ideal gas is kept at 0.0°C during an expansion from 3.0 L to 10.0 L.
AEnt
PREVIOUS ANSWERS SERPSE10 19.AE.005.
W
W = nRT In
Q @
P
V;
Q = -W = 8202.55510✔ J
Isotherm
PV= constant
The curve is a
hyperbola.
V
(a) How much work is done on the gas during the expansion?
SOLUTION
Conceptualize Run the process in your mind: the cylinder in the figure is immersed in an ice-water bath, and the piston moves outward so that the volume of the gas increases
process.
Categorize We will evaluate parameters using equations developed in the preceding sections, so we categorize this example as a substitution problem. Because the temperature of the gas is fixed, the process is isothermal
Substitute the given values into the following equation (Enter your answer in J):
In(V) = -8202.55510✔ J
Ⓡ
(b) How much energy transfer by heat occurs between the gas and its surroundings in this process?
SOLUTION
Find the heat from the first law (Enter your answer in J):
AE int = Q + W
0 = Q + W
MY NOTES
✓ . You can also use the graphical representation shown above to conceptualize the
(c) If the gas is returned to the original volume by means of an isobaric process, how much work is done on the gas?
SOLUTION
Use W = -P(VF - V;). The pressure is not given, so incorporate the ideal gas law (Enter your answer in J. Note the initial and final volumes for this process are different than for the process in part (a).):
nRT₁
W = P(VF-V₁) ==
V₁
(VV) 4769.03511 ✓ J
Transcribed Image Text:0 = Q + W
Q = -W = 8202.55510 J
(c) If the gas is returned to the original volume by means of an isobaric process, how much work is done on the gas?
SOLUTION
Use W = -P(VF - V;). The pressure is not given, so incorporate the ideal gas law (Enter your answer in J. Note the initial and final volumes for this process are different than for the process in part (a).):
NRT (V-V) = 4769.03511✔ J
V₁
Hint
W = -P(V-V₁) = -
EXERCISE
We now consider three moles of ideal gas at the same initial state (3.0 L at 273 K). This time, we will first perform an isobaric compression, then an isothermal expansion to bring the gas to the final state with the same volume of 3.0 L, and at temperature 110 K.
(a) How much work (in J) is done on the gas during the isobaric compression?
W compression
J
(b) How much work (in J) is done on the gas during the isothermal expansion?
Wexpansion
Need Help?
Submit Answer
Read It
Expert Solution
Step 1
Given data,
Temperature of A
Temperature of B
volume=3 L
n=3
Constant R=8.314
Step by step
Solved in 3 steps
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON