Adsorption Vivek Neeri

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    ADSORPTION EQUILIBRIA

    AND REGENERATION

    VIVEK KUMAR

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    Adsorption is the process in which matter is extracted from one phase and concentrated at the surface of

    a second phase. (Interface accumulation). This is a surface phenomenon as opposed to absorption where

    matter changes solution phase, e.g. gas transfer. This is demonstrated in the following schematic.

    ADSORPTION

    d

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    Adsorption Mechanism

    ADSORPTION MECHANISM

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    Exchange adsorption (ion exchange)electrostatic due to charged sites on the surface.

    Adsorption goes up as ionic charge goes up and as hydrated radius goes down.

    Physical adsorption: Van der Waals attraction between adsorbate and adsorbent. The attraction

    is not fixed to a specific site and the adsorbate is relatively free to move on the surface. This is

    relatively weak, reversible, adsorption capable of multilayer adsorption.

    Chemical adsorption: Some degree of chemical bonding between adsorbate and adsorbent

    characterized by strong attractiveness. Adsorbed molecules are not free to move on the surface.There is a high degree of specificity and typically a monolayer is formed. The process is seldom

    reversible.

    TYPES OF ADSORPTION

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    SOME GENERAL ISOTHERMS

    IRREVERSIBLEFAVORABLE

    STRONGLY

    FAVORABLE

    UNFAVORABLE

    FLUID PHASE CONCENTRATION, MASS/VOL

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    Adsorption process

    Adsorbent and adsorbate

    Adsorbent(also called substrate) - The solid that provides surface for adsorption

    high surface area with proper pore structure and size distribution is essential

    good mechanical strength and thermal stability are necessary

    Adsorbate- The gas or liquid substances which are to be adsorbed on solid

    Surface coverage,

    The solid surface may be completely or partially covered by adsorbed molecules

    ADSORPTION ON SOLID SURFACES

    define = = 0~1number of adsorption sites occupiednumber of adsorption sites available

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    Rate of adsorption

    Rate of desorption

    )1( fpkr aa

    fkr dd

    At equilibrium

    da

    a

    kpk

    pkf

    Mono-layer coverage fkm a ' ( m: mass of adsorbate adsorbedper unit mass of adsorbent)

    Adsorption Isotherm: the mass of adsorbate per unit mass of adsorbent at equilibrium & at a

    given temperature

    (f: fraction of surface

    area covered)

    f

    1-f

    LANGMUIR ISOTHERM

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    For the Langmuir model linearization gives:

    0

    a

    e

    0

    ae

    e C

    QK

    1

    q

    C

    A plot of Ce/qe versus Ce should give a straight line with intercept :

    and slope:

    0

    aQK

    1

    0aQ

    1

    e

    0

    a

    0

    ae QK

    1

    Q

    1

    q

    1

    Or:

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    For the special case of heterogeneous surface energies (particularly good for mixed wastes) in

    which the energy term, KF, varies as a function of surface coverage we use the Freundlich

    model.

    n and KF are system specific constants.

    n1

    eFe CKq

    FREUNDLICH ISOTHERM

    Here a plot of 1/qe versus 1/Ce should give a straight line with intercept 1/Qao

    and slope 0aQK

    1

    For the Freundlich isotherm use the log-log version : ln

    1Klogqlog Fe

    A log-log plot should yield an intercept of log KF and a slope of 1/n.

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    The BET isotherm

    00a

    0mm0a

    p

    psI

    ppv

    p

    or

    p

    p

    Cv

    1C

    Cv

    1

    ppv

    p

    Theoretical development based on several

    assumptions: multimolecular adsorption

    1st layer with fixed heat of adsorption H1

    following layers with heat of adsorption

    constant (= latent heat of condensation)

    constant surface (i.e. no capillary

    condensation) gives

    OT fig1.3

    BET method useful, but has limitationsmicroporous materials: mono - multilayer

    adsorption cannot occur, (although BET surface

    areas are reported routinely)

    assumption about constant packing of N2molecules not always correct?

    theoretical development dubious (recent

    molecular simulation studies, statistical

    mechanics) - value of C is indication o f the

    shape of the isotherm, but not necessarily

    related to heat of adsorption

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    BS

    e

    0aB

    B

    eeS

    e

    K

    1

    C

    C

    QK

    1K

    q)CC(

    C

    0

    aB QK

    1

    B

    0

    B a s

    K 1

    K Q C

    For the BET isotherm we can arrange the isotherm equation to get:

    Intercept =

    Slope =

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    Simplified method

    1-point method simplefied BET assuming value of C 100 (usually the case), gives

    usually choose p/p0 0,15

    method underestimates the surface area by approx. 5%.

    0

    0a'm

    0'm0mm0a

    p

    ppvv

    pv

    p

    p

    p

    Cv

    1C

    Cv

    1

    ppv

    p

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    Summary of adsorption isotherms

    Name Isotherm equation Application

    Langmuir

    Temkin =c1ln(c2P)

    Freundlich

    BET

    ADSORPTION ON SOLID SURFACE

    (11

    1 0

    0 /PcV

    c

    cV)P/P(V

    P/P

    mm

    C

    C

    BP

    B

    s 0

    01

    21

    1

    C/pc

    Chemisorption andphysisorption

    Chemisorption

    Chemisorption andphysisorption

    Multilayer physisorption

    Useful in analysis ofreaction mechanism

    Chemisorption

    Easy to fit adsorptiondata

    Useful in surface areadetermination

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    Five types of physisorption isotherms are found over all solids

    Type I is found for porous materials with small pores e.g. charcoal.

    It is clearly Langmuir monolayer type, but the other 4 are not

    Type II for non-porous materials

    Type III porous materials with cohesive force between adsorbate

    molecules greater than the adhesive force between adsorbate moleculesand adsorbent

    Type IV staged adsorption (first monolayer then build up of additionallayers)

    Type V porous materials with cohesive force between adsorbatemolecules and adsorbent being greater than that between adsorbatemolecules

    ADSORPTION ON SOLID SURFACE

    I

    II

    III

    IV

    V

    relative pres. P/P0

    1.0

    amountadsorb

    ed

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    To determine which model to use to describe theadsorption for a particular adsorbent/adsorbate

    isotherms experiments are usually run. Data from

    these isotherm experiments are then analyzedusing the following methods that are based on

    linearization of the models.

    DETERMINATION OF APPROPRIATE MODEL

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    ADSORPTION-DESORPTION HYSTERESIS

    Hysteresis is classified by IUPAC (seefig.)

    Traditionally desorption branch usedfor calculation

    H1: narrow distribution of mesopores

    H2: complex pore structure, networkeffects, analysis of desorption loopmisleading H2: typical for activated carbons

    H3 & 4: no plateau, hence no well-defined mesopore structure, analysisdifficult H3: typical for clays

    Handbook

    fig 2 s 431

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    Pore sizes

    micro pores dp

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    POROSITY AND PORE SIZE

    The pore structure (porosity, pore diameter, pore shape) is important for the

    catalytic properties

    pore diffusion may influence rates

    pores may be too small for large molecules to diffuse into

    Measurement techniques:

    Hg penetration

    interpretation of the adsorption - desorption isotherms

    electron microscopy techniques

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    Hg PENETRATION

    Based on measuring the volume of a non-wetting liquid forced into the pores bypressure (typically mercury)

    Surface tension will hinder the filling of the pores, at a given pressure anequilibrium between the force due to pressure and the surface tension isestablished:

    where P = pressure of Hg, is surface tension and is the angle of wetting

    Common values used: = 480 dyn/cm and = 140 give average poreradius

    valid in the range 50 - 50000

    cr2rP 2

    ]cm/kp[P

    7500r 2

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    PORE SIZE DISTRIBUTION

    If the Hg-volume is recorded as a function of pressure and this curve isdifferentiated we can find the pore size distribution function V(r)=dV/dr

    OT fig 2.3.

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    FACTORS WHICH AFFECT ADSORPTION EXTENT (AND

    THEREFORE AFFECT ISOTHERM) ARE:

    Adsorbate:

    SolubilityIn general, as solubility of solute increases the extent of adsorption decreases. This is known

    as the Lundelius Rule. Solute-solid surface binding competes with solute-solvent attraction

    as discussed earlier. Factors which affect solubility include molecular size (high MW- low

    solubility), ionization (solubility is minimum when compounds are uncharged), polarity (as

    polarity increases get higher solubility because water is a polar solvent).

    pHpH often affects the surface charge on the adsorbent as well as the charge on the solute.

    Generally, for organic material as pH goes down adsorption goes up.

    Temperature

    Adsorption reactions are typically exothermic i.e., Hrxnis generally negative. Here heat is

    given off by the reaction therefore as T increases extent of adsorption decreases.Presence of other solutes

    Ingeneral, get competition for a limited number of sites therefore get reduced extent of

    adsorption or a specific material.

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    If the adsorbent and adsorbate are contacted long enough an equilibrium will be established between the

    amount of adsorbate adsorbed and the amount of adsorbate in solution. The equilibrium relationship is

    described by isotherms.

    Define the following:

    qe = mass of material adsorbed (at equilibrium) per mass of adsorbent

    Ce = equilibrium concentration in solution when amount adsorbed equals qe.

    qe/Ce relationships depend on the type of adsorption that occurs, multi-layer, chemical, physical adsorption,

    etc.

    Adsorption heat:

    The increase in enthalpy when 1 mole of a substance is adsorbed upon another at constant

    pressure.

    Adsorption is usually exothermic (in special cases dissociatedadsorption can be endothermic)

    The heat of chemisorption is in the same order of magnitude of reaction heat; the heat of

    physisorption is in the same order of magnitude of condensation heat.

    DEFINITION

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    ADSORPTION EQUILIBRIAIf the adsorbent and adsorbate are contacted long enough an equilibrium will be

    established between the amount of adsorbate adsorbed and the amount of adsorbate

    in solution. The equilibrium relationship is described by isotherms.

    Heats of Adsorption

    Gas adsorption to a solid is exothermic.

    The magnitude and variation as a function of coverage may reveal informationconcerning the bonding to the surface.

    Calorimetric methods determine heat, Q evolved.

    V

    in

    Qq

    qi = integral heat of adsorption

    V

    D

    n

    Qq

    ,

    qD = differential heat of adsorption

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    3/22/2012

    HEAT OF ADSORPTION .. CONTINUED

    Since G=H-TS, it is clear that for Gto be negative,

    Hof adsorption process must be negative. That is, theadsorption is an exothermic process.

    the amount of gas adsorbed will decrease as thetemperature is increased.

    The molar enthalpy, adsHm, of adsorption in reversiblesystem will adhere to the Clausius-Clapeyron equation

    The subscript nrepresents an isosteric adsorption.adsHm is called the molar isosteric enthalpy ofadsorption.

    ads

    2

    ln

    n

    p

    T RT

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    ENTHALPY OF ADSORPTION

    Heats of adsorption change as a function of surface coverage

    2

    0

    0

    00

    0

    0000

    Kln

    Kln

    Kln

    RT

    H

    T

    RS

    RTH

    STHRTG

    SMSM

    AD

    ADAD

    AADAD

    surfacesurfaceg

    differentiate

    Vant Hoff equation

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    DESORPTION AND REGENERATION OF ADSORBENTS

    Adsorbent particles have finite capacity for fluid phase molecules. An extended

    contact with the feed fluid will ultimately lead to the creation of a

    thermodynamic equilibrium between the solid adsorbent and the fluid phases. At

    this equilibrium condition the rates of adsorption and desorption are equal and

    the net loading on the solid cannot increase further, It is now becomes necessary

    either to regenerate the adsorbent or to dispose of it.

    In certain applications it may be more economical to discard the adsorbent after

    use. Disposal would be favoured when the adsorbent is of low cost, is very

    difficult to regenerate, and the non-adsorbed component is the desired product of

    very high value. In the majority of applications, the disposal of adsorbents as

    waste is not an economic option and therefore regeneration is carried out either

    in situ or external to the adsorption vessel to an extent that the adsorbents can be

    reused.

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    Practical methods of desorption and regeneration include one, or more usually a

    combination, of the following:

    Increase in temperature

    Reduction in partial pressure

    Reduction in concentration

    Purging with an inert fluidDisplacement with a more strongly adsorbing species

    Change of chemical conditions, e.g. pH

    The final choice of regeneration method(s) depends on technical and economic

    considerations.

    PRACTICAL REGENERATION METHODS

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    FIXED-BED ADSORPTION PROCESS AND THEIR

    REGENERATION METHODS

    A. Pressure Swing Adsorption (PSA)

    Regeneration in a PSA process is achieved by reducing the partial pressure

    of the adsorbate. There are 2 ways in which this can be achieved: (1) a

    reduction in the system total pressure, and (2) introduction of an inert gas

    while maintaining the total system pressure. In the majority of pressureswing separations a combination of the 2 methods is employed. Use of a

    purge fluid alone is unusual.

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    The Figure below shows the effect of partial pressure on equilibrium loading for

    a Type I isotherm at a temperature of T1. Reducing the partial pressure from p1

    to p2 causes the equilibrium loading to be reduced from q1 to q2.

    PICTORIAL EXPLAINATION

    Changes in pressure can be effected very

    much more quickly than changes in

    temperature, thus cycle time of pressure

    swing adsorption (PSA) processes are

    typically in the order of minutes or even

    seconds.

    PSA processes are often operated at low

    adsorbent loadings because selectivity

    between gaseous components is often

    greatest in the Henry's Law region. It is

    desirable to operate PSA processes close

    to ambient temperature to take advantage

    of the fact that for a given partial pressure

    the loading is increased as the temperature

    is decreased.

    Typical PSA processes consist of 2-Bed

    system, although other systems (e.g. 1-

    Bed system or complex, multiple-beds

    system) had also been developed.

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    PSA processes is a popular process for performing bulk separations of gases.

    Separations by PSA and VSA are controlled by adsorption equilibrium or

    adsorption kinetics. Both types of control are important commercially. For the

    separation of air with zeolites, adsorption equilibrium is the controlling

    factor. Nitrogen is more strongly adsorbed than oxygen. For air with about

    21% oxygen and 79% nitrogen, a product of nearly 96% oxygen purity can be

    obtained. When carbon molecular sieves are used, oxygen and nitrogen have

    almost the same adsorption isotherms, but the effective diffusivity of oxygenis much larger than nitrogen. Hence more oxygen is adsorbed than nitrogen,

    and a product of very high purity nitrogen ( 99%) can be obtained.

    USES OF PSA PROCESSES

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    B. TEMPERATURE SWING ADSORPTION (TSA)

    Regeneration of adsorbent in a TSA process is ahieved by an increase in temperature.

    The Figure below showed schematically the effect of temperature on the adsorption

    equilibrium (Type I isotherm) of a single adsorbate.

    For any given partial pressure of the

    adsorbate in the gas phase (or

    concentration in the liquid phase), an

    increase in temperature leads to a decrease

    in the quantity adsorbed. If the partial

    pressure remains constant at p1,

    increasing the temperature from T1 to T2

    will decrease the equilibrium loading from

    q1 to q2.

    A relatively modest increase in

    temperature can effect a relatively large

    decrease in loading. It is therefore

    generally possible to desorb any

    components provided that the temperature

    is high enough. However, it is important

    to ensure that the regeneration

    temperature does not cause degradation of

    the adsorbents.

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    A change in temperature alone is not used in commercial processes

    because there is no mechanism for removing the adsorbate from the

    adsorption unit once desorption from the adsorbents has occurred.

    Passage of a hot purge gas or steam, through the bed to sweep out the

    desorbed components is almost always used in conjunction with the

    increase in temperature.

    A very important characteristic of TSA processes is that they are usedvirtually exclusively for treating feeds with low concentrations of

    adsorbates.

    TSA.. CONTD........

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    C. DISPLACEMENT PURGE ADSORPTION (DPA)

    Adsorbates can be removed from the adsorbent surface by replacing them with a

    more preferentially adsorbed species. This displacement fluid, which can be a

    gas, a vapour or a liquid, should adsorb about as strongly as the componentswhich are to be desorbed. If the displacement fluid is adsorbed too strongly then

    there may be subsequent difficulties in removing it from the adsorbent.

    The mechanism for desorption of the original adsorbate involves 2 aspects:

    (1) partial pressure (or concentration) of original adsorbate in the gas phase

    surrounding the adsorbent is reduced

    (2) there is competitive adsorption for the displacement fluid. The

    displacement fluid is present on the adsorbent and thus will contaminate the

    product.

    One advantage of the displacement fluid method of regeneration is that the net

    heat generated or consumed in the adsorbent will be close to zero because the

    heat of adsorption of the displacement fluid is likely to be close to that of the

    original adsorbate. Thus the temperature of the adsorbent should remain more or

    less constant throughout the cycle.

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    With neither pressure nor temperature changes from adsorption to desorption,

    regeneration by displacement purge depend solely on the ability of the displacement

    fluid to cleanse the bed in readiness for the next adsorption step. A typical

    Displacement Purge Adsorption (DPA) process is shown in the Figure below.

    PICTORIAL EXPLAINATION

    A is the more strongly adsorbed

    component in the binary feed mixture

    of (A and B) while D is the

    displacement purge gas. The feed

    mixture of (A and B) is passed

    through Bed 1 acting as the adsorber,which is preloaded with D from the

    previous cycle (when Bed 1 was the

    regenerator).

    A is adsorbed and the product of a

    mixture of (B and D) emerges from

    the top of the column. (B and D) are

    easily separated by distillation so that

    B is collected in a relatively pure

    state.

    The displacement gas D then enters

    Bed 2 acting as regenerator and from

    which emerges a mixture of (A and

    D). (A and D) can be separated

    without difficulty in another

    distillation column.

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    In effect the original mixture of (A and B), which would have been difficult to separate by PSA or TSA, is separated

    by the "intervention" of another strongly adsorbed component D. The ease of separation of A from D, and B from D,

    in the additional distillation stages, is crucial in determining the economies of displacement purge cycle operation.

    Examples of commercial processes include the separation of linear paraffins from mixtures containing branched

    chain and cyclic isomers in the range of C10 - C18 hydrocarbons.

    DPA.. CONTD........

    Other Adsorption Cycles

    Virtually all adsorption processes use changes in temperature, pressure, concentration of a competitvely

    adsorbing component to effect adsorption and desorption. But presumably any other variables which could

    effect changes in the shape of an adsorption isotherm could also be used.

    One such variable is the pH. The bonding between some adsorbents and adsorbates such as amino acids in

    water can be changed remarkably as the pH is changed from above the isoelectric point of the amino acid to

    below its isoelectric point. The isoelectric point is the pH at which the amino acid molecule has zero charge.

    The economic problem of using pH swing as a means to drive a cyclic process is the cost of the acid and base

    required to change the pH, as well as the cost of disposal of the salt by-product.

    Another means for changing the shape of the adsorption isotherm is the use of electric charge.

    Electrosorption involves adsorption when the adsorbent is subjected to one voltage and the desorption when

    the voltage is changed. Typically the voltage can be small, such as 1V or less. This process can only be

    accomplished in cases in which both the adsorbent and the feed stream are highly conductive. An example is

    EDA (ethylenediamine), which demonstrates different loading at different voltages.

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    THANKYOU