Biomedical Engineering Reference
In-Depth Information
α
12
indicates randomness of the mixture, and zero means completely random.
α
12
varies
from 0.2 to 0.47; a typical choice is 0.3 [57].
E
g
RT
G
G
τ
τ
=
x x
21
21
+
12
12
(5.92)
1 2
x
+
x G
x
+
x G
1
2
21
2
1
12
where
g
g
RT
−
g
−
g
=
12
22
=
21
11
τ
τ
12
21
RT
(
)
(
)
G
=
exp
−
G
=
exp
−
α τ
α τ
12 21
12
12 12
12
Activity coefficient derived from nonrandom, two-liquid model is:
2
G
G
τ
2
ln
γ
=
x
21
+
12
12
τ
1
2
21
(
)
2
x
+
x G
x
+
x G
1
2
21
2
1
12
(5.93)
2
G
G
τ
x
2
12
21
21
ln
γ
=
τ
+
2
1
12
(
)
x
+
x G
2
x
+
x
2
2
1
12
1
21
g
ij
is the energy parameter of
i
-
j
interaction as before.
Multicomponent equations:
m
∑
G x
τ
ji
ji
j
m
E
g
RT
∑
j
=
1
=
x
(5.94)
i
m
∑
i
=
1
G x
li
l
l
=
1
where
g
g
RT
−
ji
=
τ
ii
ji
(
)
G
=
exp
−
( = )
ij
α τ
α α
ji
ji
ji
ji
m
m
∑
∑
G x
τ
x G
τ
ji
ji
j
r
rj
rj
m
x G
∑
j
=
1
j
ij
ln
γ
=
+
−
r
=
1
(5.95)
τ
i
ij
m
m
m
∑
∑
∑
j
=
1
G x
G x
G x
li
l
lj
l
lj
l
l
=
1
l
=
1
l
=
1
