Chemical Engineering Chapter 11 Aabb Bbv Aaabbbn Aaaaaabaj Bbbbaa Jajb Jajb Mole Fraction Mole Fraction Diffusion

subject Type Homework Help
subject Pages 14
subject Words 983
subject Authors H. Scott Fogler

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page-pf1
11-21
M=XAMA+XBMB
CB=XBC
VA=NA/CA
VB=NB/CB=0
V*=NA+NB
C=7.17 *10"3
V=nA+nB
=nA/
"
JA=CA(VA"V*)=NA"XANA=XBNA
(*105)
(*103)
z
XB
XA
CB
CA
ρΒ
ρA
ρ
ωΒ
ωA
ω
0
0.329
0.671
1.3
2.65
0.376
2.02
2.4
0.158
0.842
60.7
5
0.434
0.566
1.71
2.24
0.495
1.71
2.21
0.226
0.774
56
10
0.573
0.427
2.26
1.69
0.655
1.29
1.95
0.338
0.661
49.4
15
0.757
0.243
2.99
0.96
0.865
0.73
1.6
0.544
0.456
40.5
20
1
0
3.95
0
1.14
0
1.14
1
0
28.97
(*103)
(*106)
(*108)
z
VB
VA
V*
V
jA=-jB
JA=-JB
0
0
9.9
7.17
8.32
3.16
8.7
5
0
11.8
7.17
9.05
4.52
11.45
10
0
15.6
7.17
10.25
6.77
15.15
15
0
27.5
7.17
12.5
10.9
20
Mole fraction
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 5 10 15 20
Z (cm)
mole fraction
page-pf2
Diffusion Flux
0
5
10
15
20
25
30
0 5 10 15 20
Z (cm)
diffusion Flus(*10^6, *10^8)
mass/cm3-sec
P11-7 (e)
Evaporation Rate of CS2 (ρliq @ 20 oC = 1.26 gm/cc)
Q=nAA
"
liq
t=
(2.0 *10#5)(
$
4)(3600 * 24)
1.26
day
Ccm 03 20(@
075.1=
page-pf3
11-23
A
A AB
dC
W D
dt
=!
2
1
0
A
A
L C
A AB A C
W z D C=!
( )
1 2
AB
A A A
D
W C C
L
=!
Volume 2:
( )
10
A
A C
d C V
W A
dt =!
( )
1
1 2
1
C AB
A
A A
A D
dC C C
dt V L
=! !
( )
2
1 2
2
C AB
A
A A
A D
dC C C
dt V L
=!
Subtraction gives us:
( ) ( )
1 2
1 2
1 2
1 1
A A C AB
A A
d C C A D C C
dt L V V
!" #
=!+!
$ %
& '
Now integrate:
( )
1 2
1 2
1 1
ln Constant
C AB
A A
A D
C C t
L V V
! "
#=# # +
$ %
& '
P11-8 (b)
( )
1 2A A
C C k IC!="
1 2
1 1
ln ln Constant
C AB
A D
k IC t
L V V
! "
+#=$ $ +
% &
' (
2
1 2
1 1
ln C
C AB
A D
IC t
L V V
! "
#=$ $ +
% &
' (
( ) 2
ln 0.01025 C
AB
IC D t!="+
if we plot ln(ΔIC) as a function of time and find the slope, that would give us –DAB
See Polymath program P11-8-b.pol.
page-pf4
11-24
POLYMATH Results
Linear Regression Report
Model: lnDIC = a0 + a1*t
Variable Value 95% confidence
a0 3.7024708 0.0078035
a1 -0.0107008 9.83E-05
General
Statistics
R^2 = 0.9998944
Rmsd = 0.0015013
Variance = 2.608E-05
P11-9
page-pf5
11-25
P11-10 (a)
page-pf6
11-26
P11-10 (b)
page-pf7
page-pf8
11-28
P11-10 (d)
P11-11 (a)
page-pf9
11-29
page-pfa
11-30
P11-11 (b)
page-pfb
11-31
page-pfc
11-32
P11-11 (c)
page-pfd
11-33
P10-12 (a)
page-pfe
11-34
page-pff
11-35
P10-12 (b)
page-pf10
11-36
P10-12 (c)
page-pf11
11-37
P10-12 (d)
The plot of the data is shown below
page-pf12
11-38
P11-14
page-pf13
11-39
CDP11-B
CDP11-C
CDP11-D
CDP11-E
CDP11-F
CDP11-G
CDP11-H
11-40
CDP11-I
CDP11-J
CDP11-K
CDP11-L
CDP11-M

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