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Absorption
Bla Simndi, Edit Szkely
Some of the slides are from Transport Processes
and Separation Process Principles by Christie John
Geankoplis.
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Absorption
In absorption a gas mixture is contacted
with a liquid solvent to remove one or more
components from the gas phase.
The opposite of absorption is stripping,where in a liquid mixture is contacted with
a gas to remove components from the liquid
to the gas phase. Distinction should be made between
physical absorption and chemical
absorption.
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Transport Processes and Separation Process Principles by Christie John Geankoplis.
Copyright 2003 Pearson Education, Inc., Publishing as Prentice Hall PTR. All rights reserved.
Concentration profile of a soluteAdiffusing through two phases.
yA*
AAGyA yyKN
, whereKyis the overall trasfer coefficient (mol/(m2s))
yA*would be equlibrium withxAL.
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Transport Processes and Separation Process Principles by Christie John Geankoplis.
Copyright 2003 Pearson Education, Inc., Publishing as Prentice Hall PTR. All rights reserved.
Single-stage equilibrium process
Figure 10.3-1. Single-stage equilibrium process.
1120 VLVL
11112200 yVxLyVxL
Total balance equation
Component balance equation
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Transport Processes and Separation Process Principles by Christie John Geankoplis.
Copyright 2003 Pearson Education, Inc., Publishing as Prentice Hall PTR. All rights reserved.
Figure 10.3-3. Number of stages
in a countercurrent multiple-stage contact
process.
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Balance equations
110 GLGL
NN
I,iyGxLyGxL iiNNiNNi ......2,111100
L and G are constant along the column.
yN+1>>y1
xN>>x0
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Operating line,
G=G1=G2=GN+1and
L=L0=L1=LN are constants
11 mNNm yGxLyGxL
Component balance equation of the control area:
11 NNmm yxG
LxG
Ly
This straight line is the operating line.
:G
11 mNNm yG
GxG
LyG
GxG
L
11 mNNm yxG
Lyx
G
L
1 NN yx
G
Lx
G
Ly
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Transport Processes and Separation Process Principles by Christie John Geankoplis.
Copyright 2003 Pearson Education, Inc., Publishing as Prentice Hall PTR. All rights reserved.
Figure 10.3-3. Number of stages in a countercurrent multiple-stage
contact process.
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LIQUID IN
LIQUID
OUT
GAS OUT
GAS IN
y 0.5
0.4
0.3
0.2
0.1
0.05
x
00 0.1 0.15 0.2 0.25
1
23
4
5
6
7
x0y1
y2 x1
y3 x2
y4 x3
y5 x4
y6 x5
y7 x6
y8 x7
x7
y8
x0
y1
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Figure 10.6-8. Theoretical number of
trays for absorption of SO2in Example
10.6-2.
Given:y1
yN+1y0
Result:N
LorxNcan be estimated
IfL/Gis large:NdecreasesxNdecreases
IfL/Gis small:Nincreases
xNincreases
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Transport Processes and Separation Process Principles by
Christie John Geankoplis.
Copyright 2003 Pearson Education, Inc., Publishing as
Prentice Hall PTR. All rights reserved.
Minimum slope of the operation
line (minimum liquid to gas ratio)
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Balance equations, simplified
solventkmol
solutemabsorptivukmol
1 x
xX
gasinertmabsorptivukmol
solutemabsorptivukmol
1 y
yY
X
X
Y
Y
1He'
1
1''
1'
0' YGXLYGXL NN
Form of Henrys law:
Form of total component balance equation:
xLL 1' solute-free solvent
yGG 1' solute-free gas
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Operating line
1
''
1
''
mNNm YGXLYGXL
Component balance equation of the control area:
1'
'
'
'
1
NNmm YXG
LX
G
LY
This straight line is the operating line.
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Analytical determination of the
number of theoretical stages
(L and G are constants) If both the operationg line and
the equilibrium curve are linear:
L/G is constant
y=mx
)()( 0112 xxLyyG
Gm
LA
0.*
0
*
00
1111
with xmequilibriuinion,concentratlhypoteticaiswhere,
and
y
m
yx
m
yxxmy
)(/ 0112 xxGLyy
Introducing the absorption coefficient:
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Analytical determination of the
number of theoretical stages
*012 1 yAAyy
Component balance equation of the second thoretical stage:
)()( 1223 xxLyyG
12
12212
23
1
/
yAAy
yymG
Lymy
myGLyy
1
*
013 11 yAAyAAyy
.
.
.
might be continued
*02213 21 yAAAAAyy
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Analytical determination of the
number of theoretical stagesNN
N AAAyAAAyy 2*
02
11 1
A
AAy
A
Ayy
NN
N
1
1
1
1 *0
1
11
A
AAxm
A
Ayy
NN
N
1
1
1
1
0
1
11
11
1
01
11
N
N
N
N
A
AA
xmy
yy Kremser (1930)
Brown-Sauders (1932)
A
AAxmy
xmy
N
N
10
01
0110
log
111log
when A=101
11
xmy
yyN N
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Transport Processes and Separation Process Principles by Christie John Geankoplis.
Copyright 2003 Pearson Education, Inc., Publishing as Prentice Hall PTR. All rights reserved.
Typical locations of operating line
at absorption and at stripping
Figure 10.6-10. Location of operating lines: (a) for absorption ofAfrom
Vto Lstream; (b) for stripping ofAfrom Lto Vstream.
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Transport Processes and Separation Process Principles by Christie John Geankoplis.
Copyright 2003 Pearson Education, Inc., Publishing as Prentice Hall PTR. All rights reserved.
Figure 10.6-11. Operating line for limiting conditions: (a)
absorption; (b) stripping.
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Differential columns
dHAyyaKyGd y *
, where
Gis the molal flowrate of the gas (mol/s)yis the molar fraction
of the component of interest (-)
Kyis the overall masstransfer
coefficient (mol/m2s)
ais the relative surface area
of phase boundary (m2/m3)
y*=mx
A is the cross section of the column (m2)
dHis the differential height of column (m)
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y
dyG
y
dyG
y
ydG
y
yGdyGd
11
'1
'1'
2
gasinertmabsorptivukmol
solutemabsorptivukmol
1 y
yY
yGG 1'
Modified component balance equation
av
avy
y
HAyyyaK
y
dyG
1
d1
1
*
y
yyy
y
AyaK
GH av
avy
d1
1
1d
*
dHAyyaKyGd y *
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1
0
y
y
*
0 1
1
1d dy
yyy
y
AyaK
GH av
avy
H
Each parameters on the right side are
dependent on concentration, thus numerical
integration is needed.
Assumptions:
avy
yaK 1 is independent of concentration
yK is proportional to G0,8
Thus: G/G0,8is roughly independent from concentration.
1
0
y
y*1
1
11dy
yyy
y
AyaK
G
y
dyH av
avy
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Transfer Units
GG HTUNTUH
1
0
y
y*
1
1dy
yyAyaK
GH
avy
1
0
y
y*
1
1
dyyy
NTU
AyaK
G
HTU
G
avyG height of a transfer unit (m)
number of transfer units
11
1
y
y av
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Absorbers
falling film
absorber
packed column monotube absorber
liquid gas
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Absorbers
spray column bubble column plate-type absorbers
liquid gas
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Transport Processes and Separation Process Principles by Christie John Geankoplis.
Copyright 2003 Pearson Education, Inc., Publishing as Prentice Hall PTR. All rights reserved.
Figure 10.6-3. Packed tower flows and characteristics for absorption.
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Transport Processes and Separation Process Principles by Christie John Geankoplis.
Copyright 2003 Pearson Education, Inc., Publishing as Prentice Hall PTR. All rights reserved.
Random packings
Figure 10.6-4. Typical random or dumped tower packings: (a) Raschig
ring; (b) Berl saddle; (c) Pall ring; (d) Intalox metal, IMTP; (e) Jaeger
Metal Tri-Pack.
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Typical applications
separation of gases
production of HNO3
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Typical applications
separation of gases
production of HNO3
separation of produced gases
fractionation of hydrocarbons
sweetening of natural gases (acid gas removal)
waste gas purification
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Typical applications waste
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Typical applications, waste
gas purification
removal of gaseous pollutants, such ashydrogen halides, SO2, ammonia, hydrogen
sulphide
or volatile organic solvents removal of CO2or H2S from natural gas
but also removal of dust with certain types
of scrubbers
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Typical absorbents in waste
gas purification
water, to remove solvents and gases such as
hydrogen halides or ammonia
alkaline solutions, to remove acid componentssuch as hydrogen halides, sulphur dioxide,
phenols, chlorine; also used for second-stage
scrubbing to remove residual hydrogen halides
after first-stage aqueous absorption; biogasdesulphurisation
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Typical absorbents in waste
gas purification
alkaline-oxidation solutions, i.e. alkaline solutionswith sodium hypochlorite, chlorine dioxide, ozone
or hydrogen peroxide
sodium hydrogensulphite solutions, to removeodour (e.g. aldehydes)
Na2S4solutions to remove mercury from waste
gas
acidic solutions, to remove ammonia and amines
monoethanolamine and diethanolamine solutions,
suitable for the absorption and recovery of
hydrogen sulphide.
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