Solutions Manual for Molecular Thermodynamics of Fluid Phase Equilibria, Third Edition (Prausnitz) – Complete Step-by-Step Solutions

All 12 Chapters Covered
j j j




SOLUTION MANUAL
j

, Cj j Oj j Nj j Tj j Ej j Nj j Tj j S




Preface i

SolutionsjtojProblemsjChapterj2 1

SolutionsjtojProblemsjChapterj3 17

SolutionsjtojProblemsjChapterj4 29

SolutionsjtojProblemsjChapterj5 49

SolutionsjtojProblemsjChapterj6 81

SolutionsjtojProblemsjChapterj7 107

SolutionsjtojProblemsjChapterj8 121

SolutionsjtojProblemsjChapterj9 133

SolutionsjtojProblemsjChapterj10 153

SolutionsjtojProblemsjChapterj11 165

SolutionsjtojProblemsjChapterj12 177

, Sj j Oj j Lj j Uj j Tj j Ij j Oj j Nj j S Tj j O Pj j Rj j Oj j Bj j Lj j Ej j Mj j S


Cj j Hj j Aj j Pj j Tj j Ej j R 2




1. Fromjproblemjstatement,jwejwantjtojfindj bP / Tg j j j
vj
.jUs
ingjthejproduct-rule,
FGPIJ  FGvIJ FGPIJ
j j j


HT K HT K HvK
j j
j

v
jj j
j j
j
j
P
j
j j
T

Byj definition,
F I
1j j vj
jP  G J
v H T K
j j j
P

and
1 FvI j j
T jj G
v H P K
j J
j j j
T

Then,
F P I
j j j
j Pjj 1.8jj10
5
GHT K J
j j T 5.32jj106
j33.8jbarjDC-1
v

Integratingj thej abovej equationj andj assumingj Pj andj Tj constantj overj thej temperaturej range,jwej
obtain
j
Pjj PjjT
T

ForjTj=j1C,jwejget

Pjj33.8jbar




1

, 2 Solutionsj Manual




2. Givenj thej equationj ofj state, FV I j


PG bJ  RT
Hn K jj
j j
j



wej find:
FGSIJ FGPIJ  nR j
jj j
j
j j
j j


HV K HT K V nb
j j
T
j j
V j j


FGSIJ  FGVIJ nR j
j
jj j
j
j jj

H PK HT K P
j j
T
j j
P

FGUIJ TFGPIJ P  0 j
j
j j j j
j
j j jj

HV K HT K
j j
T
j j
V

F UI F UI F VI
HP KG J  HGV KJHGPK J 0
j j j
j jj j j j jj
j j j j j j j
T T T
FGHIJ  TFGVIJV  nb j
j
j j j
j
j jj


HP K
j j HT K T
j j



Forj anj isothermalj change,

Sjj
z V2j FGPIJ
HT K
Vj1
j

j
j


j
V
V jnb
dVjjnRjlnj 2j
V1jjnb

jP
jnRjlnj 1
P2


 Uj
z
LF U I GFVJI O dP  0
P1j
P2j

NMGH V JK HP K QP j
j
j


T
j

j j
j j


Tj j
jj





H
z
j
L FV I O
P2j



N MTGHTJK VPQdP  nbbP P g
P1 j
j


j
j




j
Pj j
jj jj 2j j 1


jj jj jj
F P IJ
G  H  TS  nbbP  P g nRT ln G j j j j j
j

j 1j


HP K 2 1
j 2j



F PI
A  U TS  nRT ln G J
j 1j
jj
HP K
j j j j j
j j2