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276 CHARACTERIZATION AND PROPERTIES OF PETROLEUM FRACTIONS
300
4 500
30
10 T1: IML 4 50 6 7 8 9 100 Pressure, PSIA 6 7 8 9 1,000 2 3,000 4 6 7 8 9 10,000
2
2
100 100
9 9
8 8
7 7
6 6
5 5
4 4
3 3
2 2
10 10
9 9
8 8
7 7
6 6
5 5
4 Temperature °F 4
3 500 3
2 450 2
400
1.0 300 1.0
9 9
8 8
7 7
6 6
5 200 5
4 180 4
K = y /x 3 160 3 K = y /x
2 140 2
120
0.1 100 0.1
9 80 9
8 8
7 7
6 60 6
5 5
4 40 4
3 3
20
2 2
0
.01 .01
9 –20 9
8 8
7 7
6 6
5 –40 5
4 4
3 3
2 2
.001 .001
10 2 30 4 50 6 7 8 9 100 2 300 4 500 67 8 9 1,000 2 3,000 4 67 8 9 10,000
Pressure, PSIA i - Pentane
CONV. PRESS. 10,000 PSIA
FIG. 6.24—K i values of i-pentane. Unit conversion: ◦ F = C × 1.8 + 32 psia =
◦
14.504 × bar. Taken with permission from Ref. [28].
To summarize methods of VLE calculations, recommended above relation becomes
methods for some special cases are given in Table 6.14 [37].
S
(6.205) f = x i γ i f L
i i
6.8.3 Solid–Liquid Equilibria—Solid Solubility S
by substituting f from Eq. (6.155) we get
i
Formulation of SLE is similar to that of VLE and it is made
through Eq. (6.174) with equality of fugacity of i in solid and 1 H i f T Mi C Pi T Mi
liquid phases, where the relations for calculation of f ˆS and ln γ i x i =− RT Mi 1 − T + R 1 − T
i
f ˆL are given in Section 6.6. To formulate solubility of a solid
i
in a liquid, the solid phase is assumed pure, f ˆS = f , and the (6.206) + C Pi ln T Mi
S
i
i
T
R
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