prausnitz_6

7/26/2019 Prausnitz_6

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AdvancedChemical Engineering

Thermodynamics

Chapter 6Fugacities in liquid

mixturesExcess function


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3/57

3Chapter 6

Fugacities in liquid mixtures

Excess function

#$ % 45"56 % 789

,- 1: " 1!% ;+ 1 =56 > !#$> !#$?@ABCD


4/57

4Chapter 6


Excess function

23 1: " 1!% EFGH =

56I J 23I23I ?@ABCDK LM N OPAB

-!#$ QR "STUV!#$ QR "$RUV


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5Chapter 6


Excess function

-W XYQUVW XYZ[UV

\]QR ^\]QR ST $RUV ^


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6Chapter 6


Excess function

_`0 _`0^

8a+&'() !#$QR!bcdeY" Vf


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7Chapter 6


Excess function

!_g:]&T

_`0 hKi #$j_`0 hKi

j

! _`0kj

" ,- 1


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8Chapter 6


Excess function

YjSTUV$RUV

EFGH"8 % ElmnoYpq ( # r 1 ) L

MY: !"stSTu+

ST ( vZ !mnwxy% z;+ 1=w7mn 8 )


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9Chapter 6


Excess function

*+{ |}w~:]&'()

w ( ! ) !#$ % 45j ^"56

( ! $ ! )" ^

( ! 1 ! )" ^


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10Chapter 6


Excess function

*+23 1STUV $RUV

EFGH "_`0

EFGH _`0Z[ Vf

23I f () ( $R ) 7=w_`0Z[f7()


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11Chapter 6


Excess function

4caJ4c

! f:^n> !=

1,- *

aJ4c ! f7^ EFGH

= 1 w > !=1

23 1 *


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12Chapter 6


Excess function

"j

^

8 ]56I 5nEFGH nEFGH ? %& 'K %&' ?1#& 11 1$&1!

r? 1"j


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13Chapter 6


Excess function

! "

i s hKi"

]t: i s hKi

% "^A I K N O B

^" e"\]8j"t


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15/57

15Chapter 6


Excess function

" i shKi

i s hKi

*edlich+,ister ^\] K N O B

*edlich+,ister ^ \ A - . /


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16Chapter 6


Excess function

\"

C E /

! LM"


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17Chapter 6


Excess function

! LM" ! LM"

T!f T


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18Chapter 6


Excess function

i s+.uhem ^Vf


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19Chapter 6


Excess function

!LM"i s+.uhem ^

" @ ?

K ! 1 " %" N O ! 2"

f[!lf l

^"N^ N Oc


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20Chapter 6


Excess function

i s+.uhem ^ $ "^^

tAB[!I


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21Chapter 6


Excess function

!!$

K $"% LMST N O


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22Chapter 6


Excess function

K S"% k$RN O

9 N=B" ] ($m+1)

($m+1) :] N ]

:] l -ar0er method

#$8 4 v$


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23Chapter 6


Excess function

!LMk$R v8!$K 8

"#$ f^

> !#$f^> !#$ {$RUV

r4 v$^


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24Chapter 6


Excess function

\ !4 $R ^

v8% ^

! 1 "%^

! $ "^

c "&f+3f N O

^ r


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25Chapter 6


Excess function

c nA

B ^


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26Chapter 6


Excess function

K $ O $ROc

i s+.uhem Vf+S $

?

i s+.uhem ^ElQRd:" f


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27Chapter 6


Excess function

QRd:

!LM"QRd: ^

n]% pq" j^


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28Chapter 6


Excess function

QRd:


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29Chapter 6


Excess function

B7 N O "5

N O +x+yBf +x+yBf x+y

Bf +x


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30Chapter 6


Excess function

7T y U7

l !b U


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31Chapter 6


Excess function

!v N O

n ;> ! "'T a i s h

Ki - Y


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32Chapter 6


Excess function

N QRd^

2ohl3s expansion

3f!YUZ[P

`0!YUZ[!


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33Chapter 6


Excess function

!LM,- 1&'()"^]t

23 1&'()"^! $ EFGH !


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34Chapter 6


Excess function

van 4aar ^

f

1 _`0i s hKi

1 ^% `0! d


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36/57

36Chapter 6


Excess function

} ^ STUV

% ^"STUV^

v

5argules ^% ^

% ^


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37Chapter 6


Excess function

5argules ] 4 _

LM"

% ^] \

f j

catchard 7 8amer ^


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38Chapter 6


Excess function

catchard 7 8amer

^


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39Chapter 6


Excess function

N QRd^

%


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40Chapter 6


Excess function

`0% ^

Z[! ^


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41Chapter 6


Excess function

2ilson ^

! i s h

Ki^^i s hK

i^^

i s hKi^^

2ilson ^


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43/57


44/57

44Chapter 6


Excess function

9*T4 ^*+ % ! ! "LM

% % ^

LM" i shKi ^


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45Chapter 6


Excess function

LM" 9*T4 ^ ^


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46Chapter 6


Excess function

:9;


47/57

47Chapter 6


Excess function

f

:9;


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48Chapter 6


Excess function

:9;


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49Chapter 6


Excess function

LM p6n a `0i s hKi?^ r a QRd '9 ( ) l * +, 8!g \8 %nST $ QRd '7 - Y8!g ./

LM87 '


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50Chapter 6


Excess function

! 8 |}

8 c st


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51Chapter 6


Excess function

st7 ' 'O

f r?

^

*aoult=s 4a>i s h

Ki


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52Chapter 6


Excess function

LM7 ' 'O

0 i s hKi # =w 12 7 - Y8!g

3 i s hKi7# LMw9f 4 w 5 8'O


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53Chapter 6


Excess function

68 ' 7

p6? 8


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54Chapter 6

Fugacities in liquid mixturesExcess function

p6 %&

9 : n ; S8


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55Chapter 6


u < ST T>o+su?x 5argules ^fLM < ST^

LM 8


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56Chapter 6


8 j

van 4aar3s ^fLM=< ST< %


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57Chapter 6


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