Homework Help is Here – Start Your Trial Now!
Engineering
Chemical Engineering
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
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
See similar textbooks
icon
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
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
steps

Step by step

Solved in 4 steps with 7 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
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…
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…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The
SEE MORE TEXTBOOKS