we were told to take the derivative with reapect to entropy and that would give us the slope of thr Mollier diagram and then the second derivative gives us the curvature. please show all steps
we were told to take the derivative with reapect to entropy and that would give us the slope of thr Mollier diagram and then the second derivative gives us the curvature. please show all steps
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
Related questions
Question
we were told to take the derivative with reapect to entropy and that would give us the slope of thr Mollier diagram and then the second derivative gives us the curvature. please show all steps
![In a Mollier diagram (that is, enthalpy-entropy phase diagram), such as the one attached, note that the
isotherms (the lines of constant temperature) have both a positive slope and a positive curvature. (i.e.,
that they increase and are concave downward). Starting with the Gibbs equation dH = TdS + VdP, show
that this always must happen.
1.3
0.80
14
0.82
10,000 pais
0.84
0.86
5000
POZE
0.88
1.6.
2000
400
1.5 1.6
0001
500
0.96
0.94
0.92
0.90
1.7 1.8
Joos
Entropy, Bra/lbm R
600
700 F
300
0.98
saturation.
line
800
900
1.9
MOOFE
1000
50 psia
950
1.7
1.8
Entropy, Btu/lbm-R
8
1.9
20
psia
200°F
100
2.0
1000
21 22
1.0
2.1
1050
1600
1550
1500
1450
1400
1350
1300
1250
Enthalpy, Btu/bm
1200
22
1100
1150](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3b22d41-205f-416f-a437-2c9a4d75fa28%2F5a839106-6729-4bdf-9e78-d7fa50c2c2ab%2F9kouy2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In a Mollier diagram (that is, enthalpy-entropy phase diagram), such as the one attached, note that the
isotherms (the lines of constant temperature) have both a positive slope and a positive curvature. (i.e.,
that they increase and are concave downward). Starting with the Gibbs equation dH = TdS + VdP, show
that this always must happen.
1.3
0.80
14
0.82
10,000 pais
0.84
0.86
5000
POZE
0.88
1.6.
2000
400
1.5 1.6
0001
500
0.96
0.94
0.92
0.90
1.7 1.8
Joos
Entropy, Bra/lbm R
600
700 F
300
0.98
saturation.
line
800
900
1.9
MOOFE
1000
50 psia
950
1.7
1.8
Entropy, Btu/lbm-R
8
1.9
20
psia
200°F
100
2.0
1000
21 22
1.0
2.1
1050
1600
1550
1500
1450
1400
1350
1300
1250
Enthalpy, Btu/bm
1200
22
1100
1150
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 4 steps with 7 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Introduction to Chemical Engineering Thermodynami…](https://www.bartleby.com/isbn_cover_images/9781259696527/9781259696527_smallCoverImage.gif)
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
![Elements of Chemical Reaction Engineering (5th Ed…](https://www.bartleby.com/isbn_cover_images/9780133887518/9780133887518_smallCoverImage.gif)
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
![Introduction to Chemical Engineering Thermodynami…](https://www.bartleby.com/isbn_cover_images/9781259696527/9781259696527_smallCoverImage.gif)
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
![Elements of Chemical Reaction Engineering (5th Ed…](https://www.bartleby.com/isbn_cover_images/9780133887518/9780133887518_smallCoverImage.gif)
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
![Process Dynamics and Control, 4e](https://www.bartleby.com/isbn_cover_images/9781119285915/9781119285915_smallCoverImage.gif)
![Industrial Plastics: Theory and Applications](https://www.bartleby.com/isbn_cover_images/9781285061238/9781285061238_smallCoverImage.gif)
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
![Unit Operations of Chemical Engineering](https://www.bartleby.com/isbn_cover_images/9780072848236/9780072848236_smallCoverImage.gif)
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The