Problem 5 PV diagram Consider the process shown in the PV diagram below for a monatomic ideal gas that undergoes a constant pressure expansion from point a to b, followed by a constant volume decrease in pressure from point b to c, followed by an isothermal compression back to point a again. The gas consists of N= 2 x 10 molecules, Pa= 6 atm, Va=3 m², and V%= 9 m’. Remember that latm = 10° Pa = 10° N/m², kg ~ 1023 J/K, and you may approximate log.(3) = In(3) ~ 1. a) How much work is done by the gas along the initial expansion from point a to point b? Please check your signs. b) What is the energy of the gas at point a? c) How much heat is exchanged with the gas along the path from a to b? State whether heat is added to or subtracted from the gas. d) How much work is done by the gas from point b to c? Please explain your answer or show your work. e) What is the pressure of the gas at point c? f) What is the temperature of the gas at point c? g) What is the net work done by the gas during one full cycle a→ b→ c→ a? h) What is the change in the entropy of the gas as it is compressed isothermally from point c to point a? i) What is the net change in entropy of the gas during one full cycle a→ b→ c→ a? Show your work or explain your answer.
Problem 5 PV diagram Consider the process shown in the PV diagram below for a monatomic ideal gas that undergoes a constant pressure expansion from point a to b, followed by a constant volume decrease in pressure from point b to c, followed by an isothermal compression back to point a again. The gas consists of N= 2 x 10 molecules, Pa= 6 atm, Va=3 m², and V%= 9 m’. Remember that latm = 10° Pa = 10° N/m², kg ~ 1023 J/K, and you may approximate log.(3) = In(3) ~ 1. a) How much work is done by the gas along the initial expansion from point a to point b? Please check your signs. b) What is the energy of the gas at point a? c) How much heat is exchanged with the gas along the path from a to b? State whether heat is added to or subtracted from the gas. d) How much work is done by the gas from point b to c? Please explain your answer or show your work. e) What is the pressure of the gas at point c? f) What is the temperature of the gas at point c? g) What is the net work done by the gas during one full cycle a→ b→ c→ a? h) What is the change in the entropy of the gas as it is compressed isothermally from point c to point a? i) What is the net change in entropy of the gas during one full cycle a→ b→ c→ a? Show your work or explain your answer.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
2010Q5: Please answer all parts in specific detail and explain each step with reasoning
Transcribed Image Text:Problem 5
PV diagram
Consider the process shown in the PV diagram below for a monatomic ideal gas that undergoes a
constant pressure expansion from point a to b, followed by a constant volume decrease in
pressure from point b to c, followed by an isothermal compression back to point a again. The gas
consists of N= 2 x 10 molecules, Pa = 6 atm, Va = 3 m', and V = 9 m’. Remember that latm =
10° Pa = 10° N/m², kp ~ 1023 J/K, and you may approximate log.(3) = In(3) ~ 1.
a) How much work is done by the gas along the initial expansion from point a to point b?
Please check your signs.
b) What is the energy of the gas at point a?
c) How much heat is exchanged with the gas along the path from a to b? State whether heat is
added to or subtracted from the gas.
d) How much work is done by the gas from point b to c? Please explain your answer or show
your work.
e) What is the pressure of the gas at point c?
f) What is the temperature of the gas at point c?
g) What is the net work done by the gas during one full cycle a→ b→ c→ a?
h) What is the change in the entropy of the gas as it is compressed isothermally from point c to
point a?
i) What is the net change in entropy of the gas during one full cycle a→ b→ c→ a? Show your
work or explain your answer.
P.
6atmt
3 m3
9m3
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY