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SEPARATION PROCESSES
Vapor-Liquid Equilibrium Separation Processes
Unit operat ions in chemical engineeringby Mccabe, Smith and
Harriot
Transport Processes and Separation Process PrinciplesCHRISTIE
J. GEANKOPLIS
Separation process principles by Seader and Henley
Separation processes by King
Chemical Engineeringby Coulson and Richardson
The single separation process is the simplest process in which two
phases in contact are brought to physical equilibrium, followed by phase
separation.
ifi
ii
y
K x very large a single contacting stage may be sufficient
to achieve a desired separation between them
if not multiple stages are required
Vapor-Liquid Equilibrium Separation Processes
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BINARY VAPOR-LIQUID SYSTEMS
four intensive variables: T, P, yA, andxA
vapor-liquid equilibrium data for systems containing two components, A and B
A is the more volatile component
C= 2; P=2
F= 2
F= C-P+2
T, yA, and xA are tabulated for a fixed P for ranges of yAand xA from 0 to 1
T-x,y diagram
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TiC
iBiAPIn
o
i
)(
)()()(
Relative volatility
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EXAMPLE: Calculate the vapor and liquid compositions in equilibrium at 95C(368.2 K) for benzene-toluene using the vapor pressure from Table given below
at 101.32 kPa.
Transport Processes and Separation Process Principles, GEANKOPLIS
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SINGLE-STAGE EQUILIBRIUM CONTACT FOR VAPOR-LIQUID SYSTEM
EXAMPLE: A vapor at the dew point and 101.32 kPa containing a mole fraction of0.40 benzene (A) and 0.60 toluene (B) and 100 kg mol total is contacted with 110
kg mol of a liquid at the boiling point containing a mole fraction of 0.30 benzene
and 0.70 toluene. The two streams are contacted in a single stage, and the outlet
streams leave in equilibrium with each other. Assume constant molal overflow.
Calculate the amounts and compositions of the exit streams.
For constant molal overflow
V2= 100 kg mol
yA2= 0.40
L0= 110 kg mol
xA0= 0.30
x1 and y1 @ equilibrium
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trial and error
Flash distillation
x and y @ equilibrium
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CONTINUOUS DISTILLATION WITH REFLUX
11
1
1
11
1
ionRectificat
n
Dn
n
nn
nn
aaaaD
n
aaaan
n
nn
V
Dxx
V
Ly
LDV
xLyvDx
V
xLyVx
V
Ly
11
1
n
Dn
n
nn
V
Dxx
V
Ly
nnLDV
1
VV
LL
n
n
1
n
Dn
n
nn
LD
Dxx
LD
Ly
1
DLD
DDxx
DLD
DLy D
nn/)(
/
/)(
/1
111
D
Dn
D
Dn
R
xx
R
Ry
D
DV
D
LRD
MASS BALANCES
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1
BL
Bxx
BL
Ly
m
Bm
m
mm
1
BLBxx
BLLy Bmm
1
VVLLmm
1
BL
Bxx
BL
Ly
BLVV
Bxx
V
Ly
BxxLyV
Stripping
m
Bm
m
m1m
m1m
1m
Bm
1m
m1m
Bmm1m1m
baxy
R
xx
R
Ry
D
Dn
D
Dn
111
1R
Rslope
D
D
1R
x:intercept
D
D
Operating line for rectification
11
1
n
Dn
n
nn
V
Dxx
V
Ly
1D
D
R
x
1
2
),(DDxx
y
x
xDx1x2
y2
y1
y3y2
y1
y3
McCAbe-Thile Method- Number of ideal plate
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1yxx Do
1st tray
Total condenser Partial condenser
Operation line for Stripping
BL
Bxx
BL
Ly Bmm
1
Operating line for stripping
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1
FEED PLATE
Cold liquid Saturated liquid
(at bubble point)Partially vaporized
LFL
VV
qf
10
1
0
q
f
qFLFfLL
FqVfFVV
qf
)1(
)1(
1010
)(
)(1
FbPL
FbPL
TTCf
TTCq
q+f=1
Besleme dorusunun denklemi
Saturated vapor Superheated vapor
FVV
LL
q
f
0
1
0
1
q
f
)(1
)(
DFPV
dFPV
TTCf
TTCq
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1
(xF, xF)
q
xx
q
qy F
11
f
xx
f
fy F
)1(
1 qf
f=1
q=0
f=0
q=1
0
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1
HEATING AND COOLING REQUIREMENTS
111
D
Dn
D
Dn
R
xx
R
Ry
0
1
11
1
D
D
D
DD
D
D
R
x
R
RR
R
Rslope
AB
DBBDxxxx
Nln
)]1(/)1([Inmin
ANALYTICAL EQUATION
MINIMUM NUMBER OF PLATES
Fenske quation
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RD
D
L
D
LR
D
min
min
'
'
1min
min
xx
yx
R
R
D
D
D
D
''
'
minxy
yx
RD
D
MINIMUM REFLUX
min
1min
D
D
R
x