P-A ELV Sep_bb3 VLE -Bin Dist_2012

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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

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    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