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Solutions Manual for Molecular Thermodynamics of Fluid-Phase Equilibria 3rd Edition by Prausnitz | Complete Step-by-Step Solutions (All Chapters)

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Master advanced thermodynamics with this comprehensive Solutions Manual for Molecular Thermodynamics of Fluid-Phase Equilibria, 3rd Edition by John M. Prausnitz, Rüdiger N. Lichtenthaler, and Edmundo Gomes de Azevedo. This expertly developed resource provides detailed, step-by-step solutions to textbook problems, helping students and professionals understand complex phase equilibrium concepts with clarity. The manual aligns with the textbook’s structure and covers key topics such as classical thermodynamics of phase equilibria, fugacity in gas and liquid mixtures, activity coefficient models, equations of state, solution theories, and high-pressure phase behavior.

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All 12 Chapters Covered




SOLUTION MANUAL

, C O N T E N T S




Preface i

Solutions to Problems Chapter 2 1

Solutions to Problems Chapter 3 17

Solutions to Problems Chapter 4 29

Solutions to Problems Chapter 5 49

Solutions to Problems Chapter 6 81

Solutions to Problems Chapter 7 107

Solutions to Problems Chapter 8 121

Solutions to Problems Chapter 9 133

Solutions to Problems Chapter 10 153

Solutions to Problems Chapter 11 165

Solutions to Problems Chapter 12 177

, S O L U T I O N S T O P R O B L E M S


C H A P T E R 2




1. From problem statement, we want to find bP / T g v
.
Using the product-rule,
FG PIJ FG vIJ FG PIJ
H T K H T K H v K
v
P T

By definition,
F I
1 v
P G J
v H T K P

and
F vI
1
T G
v H P K
J T

Then,
F P I P 1.8  10 5
GH T KJ T 5.32  10 6
33.8 bar DC-1
v

Integrating the above equation and assuming P and T constant over the temperature range,
we obtain
P
P T
T

For T = 1C, we get

P 33.8 bar




1

, 2 Solutions Manual




2. Given the equation of state, FV I
PG
H n bJK RT
we find:
FGS IJ FG PIJ nR
H V K H T K V nb
T V

FG S IJ FG VIJ nR
H P K H T K P
T P

FG U IJ TFG PIJ P 0
H V K H T K T V

F U I F UI F V I
H GP K J HGV KJ H GP K J 0
FG H IJ TFG V IJ V nb
T T T



H P K H T K T

For an isothermal change,

S
z V2 FG P IJ
H T K
V 1 V
dV nR ln
V2 nb

V1 nb

P1
nR ln
P2


 U
z
LF U I GF VJI O dP 0
P2

NMGH V JK H P K QP
z
P1 T T


L F V I O
P2

H
NMTGH T JK VPQ dP nbbP P g
P1
2 1

F P IJ
P

G H TS nbbP P g nRT ln G 1


HP K 2 1
2


A U TS nRT ln G
F P IJ 1
HP K 2

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