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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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    THANK YOU!