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flotation-teory

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    Froth Flotation1

    Froth Flotation

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    Froth Flotation3

    materials, such as coal, may be successfully separated up to 1600 m (10 mesh) in some

    systems.

    Froth flotation has been used in the minerals processing industry since the mid-1800s

    with many of its broad-based applications to mineral recovery extensively developed

    between 1900 and 1925. Today, at least 100 different minerals, including almost all of

    the worlds copper, lead, zinc, nickel, silver, molybdenum, manganese, chromium,

    cobalt, tungsten, and titanium, are processed using froth flotation. In 1997, the estimated

    worldwide mineral production, using froth flotation, was two billion tons. Another major

    usage of froth flotation is by the coal industry for desulferization and the recovery of fine

    coal, once discarded as waste. Since the 1950's, flotation has also been applied in many

    non-mineral industries including sewage treatment; water purification; paper de-inking;

    and chemical, plastics, and food processing. The development of froth flotation

    continues today with the need to recover minerals from increasingly poorer grades of ore,

    as well as its non-traditional application to other types of materials.

    There are several different types of froth flotation systems in use today including the

    mechanical type, of which there are many subtypes, and the flotation column. The type

    of froth-flotation apparatus to be used in this experimentation is the batch, sub-aerated

    mechanical type shown in Figure 1. While this is a laboratory scale unit capable of

    handling up to 5 L (5 x 10-6 m3), the same equipment type and principals are used at the

    industrial level up to 7,000 ft3 (200 m3). A photograph of a 1000 ft3 unit is shown on the

    title page (source: Mining Engineering, 31, 1979, p. 785).

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    Froth Flotation5

    Objectives

    The purpose of this experiment is to investigate the various aspects of the froth-flotation

    separation of materials using a batch, laboratory-scale mechanical flotation apparatus

    commonly used in industry for separation research and development. Experimental

    parameters will be varied to determine their effect on the froth-flotation separation

    including the types and concentrations of collectors, frothers, and modifiers (depressants,

    activators, and pH regulators). The conditioning times; solids loading and weight

    fractions; agitator speed; aeration rate; particle densities, sizes, and shapes; and the

    temperature may be varied. Data analyses will include determination of the grade and

    recoveries of the more desired material with respect to the effect of the experimental

    parameters, as well as determination of the kinetics of the separation process. Qualitative

    observations should also be documented to serve as bases for additional conclusions

    concerning possible behavior of the system with respect to the quantitative results. Based

    upon the experimental results, the different separation outcomes should be compared and

    contrasted and optimal parameter ranges should be postulated for the separations. Scale-

    up considerations of these laboratory results to larger flotation systems and their use with

    multi-stage separations may also be investigated. As an experimenter, you are to decide

    what to investigate and are responsible to develop the appropriate experimental

    methodology to achieve viable separations, data, and analyses. It will be easy to identify

    numerous hydrophilic feeds. An excellent selection for a hydrophobic solid is fine

    activated carbon. Characterize your feed by composition and by particle size of each

    component. Use sieves to characterize particle sizes.

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    Froth Flotation6

    Background

    Wettability

    Froth flotation involves three phases solid, liquid, and gas and the corresponding

    potential phase interfaces solid-liquid, solid-gas, liquid-gas, and solid-liquid-gas. The

    hydrophobic (aerophilic) or hydrophilic nature of the solids at the solid-liquid-gas

    interfacial region is determined by the wettability of the solid. A parameter that

    characterizes wettability is the contact angle at the three-phase interface (Figure 2). The

    contact angle, , is related to the respective interfacial surface tensions, SG, SL, and LG,

    by Youngs equilibrium equation,

    cosLGSLSG += . (Eq. 1)

    In Figure 2, point P is the solid-liquid-gas interfacial region. If the liquid-water drop

    spreads over the solid, the solid is hydrophilic characterized by a contact angle of 0o <

    < 90o between the water drop and the solid surface at P. At these angles, air bubbles do

    not readily adhere to hydrophilic solids in water. Conversely, when the solids are not

    Figure 2. Relative Equilibrium States for a Water Droplet at a

    Solid Surface Indicating Various Wettability Regimes.

    SG

    LG

    SL Solid

    Water Drop

    Air

    SL SL

    SG

    SG

    LG LG

    Hydophylic Regime0o < < 90o

    Intermediate Regime = 90o

    Hydophobic Regime90o < < 180o

    P P P

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    Froth Flotation7

    readily wetted by water, the solids adhere to the air bubbles and the characteristic contact

    angle is 90o < < 180o, and these solids are said to be hydrophobic (or aerophylic). An

    intermediate regime, = 90o, may exist where the solid does not exhibit either strong

    hydrophilic or hydrophobic character.

    The hydrophilic or hydrophobic character of the solid expressed by the contact angle is

    an idealized representation in its application to froth flotation. In practice, it is not

    necessary to actually obtain a hydrophobic solid as defined by a > 90o. Contact angles

    in flotation systems typically do not exceed 100

    o

    . What is more important is that the

    system is operated in such a manner that one of the solid components has a greater

    preferably a substantially greater hydrophobicity than the other solids from which it is

    to be separated. It has been found that a of at least 20o is necessary for bubble

    attachment and successful flotation, and s > 20o are desirable for effective separation.

    Many materials, such as minerals, are nonpolar and are more naturally hydrophilic than

    hydrophobic in water. However, there are also many exceptions such as coal with a

    natural = 45-60o and talc with a natural = 88o (see the bottom of Table 1 in next

    section).

    Thus, in order to obtain a successful separation using froth flotation, it is usually

    necessary to selectively enhance the hydrophobicity of one of the solid components that

    is otherwise hydrophilic or not strongly hydrophobic. This selective modification of the

    wettability of solids in froth flotation is obtained using additional reagents termed

    collectors.

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    Froth Flotation8

    Collectors

    To invoke selective hydrophobicity, substances know as collectors are used. Collectors

    are typically heteropolar organic substances they contain both nonpolar and polar

    chemical groups. The nonpolar end is almost always a long-chain or cyclic hydrocarbon

    group that is hydrophobic. The collector must be able to attach to the solid, and it does so

    through its polar end, which is typically an ionic group termed the solidophil group.

    When the solidophil group of a suitable collector contacts a mineral at a surface site that

    can chemically interact with the solidophil group, the collector bonds to the surface of the

    mineral via chemisorption or ionic bonding. The nonpolar end of the collector then

    orients outward from the solid surface forming a nonpolar chemical envelope

    surrounding the solid particle, inducing hydrophobic behavior on an otherwise

    hydrophilic solid surface. The solid particle can then more readily attach to an air bubble

    (Figure 3) via the hydrophobic end of the collector.

    Consequently, a key to successful froth flotation is to selectively induce, using a suitable

    collector, hydrophobicity on the desired material to be recovered while retaining

    Figure 3. Collector Alignment at the Solids Surface.

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    Froth Flotation9

    hydrophilicity of the nondesirable material. It should also be noted that the strength of

    the induced hydrophobicity of the mineral via the collector is directly relatable to the

    length of the hydrocarbon group while the strength and selectivity of the collectors ionic

    bonding is controlled by the type of solidophil group.

    There are many different types of collectors, and they are classified as to the type of ion

    (anionic or cationic) that is formed upon their dissociation in aqueous solutions. For

    example, sodium oleate, C17H33COONa, is a widely used collector for minerals

    separation. It is comprised of a long-chain, nonpolar hydrocarbon group, R = [C17H33],

    which is hydrophobic and a polar carboxyl group, [COONa], which is the solidophil

    group. Upon dissociation in water, the solidophil group is anionic or

    This anionic carboxyl group will bond with minerals that contain alkali-earth metal

    cations such as Ca, Ba, and Mg, as well as carbonate, oxide, and sulfate minerals.

    Other widely employed anionic collectors include the xanthates, containing bivalent

    sulfur, that are highly selective collectors in the separation of sulfide minerals. The

    xanthate anion is

    R O C

    S

    S

    R

    O

    C

    O

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    Froth Flotation10

    Other types of collectors are used in froth flotation including dithiophosphates and alkyl

    sulfuric salts that are also anionic collectors. The later include sodium dodecyl sulfate and

    sodium lauryl sulfate, used in detergents. The later have the sulfo-solidophil group

    Cationic collectors are less widely used. The most common types contain amine groups,

    such as aniline and pyridine, but cation attachment to most minerals is typically weak.

    They are also typically water insoluble and require the presence of acids to induce

    solubility. However, cation collectors are used for silicates and other oxides, including

    some rare earth oxides.

    As previously discussed, the effect of collectors on the hydrophobicity of solids can be

    related to the contact angle, . Examples of contact angles modified by various collectors

    for various minerals are indicated in Table 1, as well as those for naturally hydrophobic

    materials for comparison.

    R O

    S

    O

    O

    O

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    Froth Flotation11

    Table 1. Contact Angles for Various Solids and Collectors(adapted from Encyclopedia of Chemical Technology 4th Edition, Vol. 11 (1997) p. 88.

    Solid Collector and Conditions (degs)

    colemanite 5 x 10-3 M sodium oleate 43

    copper metal 1.5 x 10

    -4

    M sodium oleate 93fluorite 1 x 10-5 M sodium oleate, pH = 8.1 91

    galena 1 x 10-3 M potassium ethyl xanthate 60

    ilmenite 1.3 x 103 M sodium oleate solution, T = 75oC, pH = 8 80

    silica 1.1 x 10-5 M dodecylammonium chloride, pH = 10 81

    graphite water 86-96

    coal water 20-60

    stibnite water 84

    sulfur water 85

    molybdenite water 75

    talc water 88

    iodyrite water 20

    Frothers

    In addition to collectors, another important component in successful flotation is the

    presence offrothers. Once its surface is rendered hydrophobic, a solid particle must be

    able to attach to an air bubble. While it may be possible to initially obtain solid particle

    attachment to air bubbles in an agitated liquid under aeration alone, these air bubbles are

    unstable and quickly break down due to collisions with other bubbles, solid particles, and

    the vessel walls. In addition, the bubble size may not be sufficient to effectively carry a

    solid particle to the surface of the liquid. Consequently, additional materials, termed

    frothers, are added to promote the formation of stable air bubbles under aeration.

    Frothers, like collectors, are typically comprised of both a polar and nonpolar end. The

    nonpolar hydrophobic ends orient themselves into the air phase. Bubble wall strength is

    enhanced by simultaneous strong polar-group and water-dipole reaction (hydration) at the

    air-liquid interface resulting in greater bubble stability due to a localized increase in

    surface tension.

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    Froth Flotation12

    Frothers are generally classified by their polar groups with the most common being the

    hydroxyl (OH), carboxyl (COOH), carbonyl (=C=O), amino (NH3), and sulfo (

    OSO2OH andSO2OH) groups. Table 2 lists some common frothers according to their

    chemical grouping. Effective frothers typically contain at least five or six carbon atoms

    in their straight-chain, nonpolar group to obtain sufficient and stable interaction with the

    air phase. For branched-chain hydrocarbons, the number of carbon atoms in the nonpolar

    group may range up to sixteen. However, a frother must be at least slightly soluble in the

    liquid medium and increasing the straight-chain-hydrocarbon length (perhaps up to a

    maximum of eight, e.g., octyl alcohol) will eventually lead to too low of a solubility for

    effective frothing. Thus, a suitable frother must provide a balance between sufficient

    nonpolar interaction with air and solubility in water. With respect to the polar groups,

    one or two are usually sufficient to interact at the liquid-air interface to provide sufficient

    frothing properties, and additional polar groups provide little benefit.

    Most of the frothers in Table 2 are hydroxyl-group-type frothers, and, thus, have little

    collector properties. However, because of the inherent heteropolarity of collectors, a

    collector can also serve as a frother in some systems. This is true of the carboxyl-type

    frother, sodium oleate, and the sulfo-solidophil fatty acids. Certain collector/frother

    combinations may also exhibit a synergistic separation effect. However, one designs a

    flotation system based upon a collector specific to the modification of the surface

    properties of the solids required for separation. The type of frothing agent is a secondary

    consideration that is chosen after the collector to provide suitable frothing conditions and

    noninterference with the collector or separation system.

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    Froth Flotation13

    Table 2. Examples of Frothers.

    Frother Formula

    Aliphatic Alcohols

    MIBC (4-methyl-2-pentanol)

    di-acetone alcohol2-ethyl 3-hexanol

    CH3(CH2)nCH2OH, n = 35

    CH3CH(CH3)CH2CH(OH)CH3

    (CH3)2(OH)CH2COCH3CH3(CH2)3CH(C2H5)CH2OH

    Cyclic Alcohols

    pine oil (terpineol)

    eucalyptus oil (cineole)

    C10H17OH

    C10H16O

    Phenolscresol

    xylenol (e.g., xylitol)

    CH3C6H4OH

    HOCH(CHOH)3CH2OH

    Alkoxyparaffins

    1,1,3-triethoxybutane CH3CH2CH(OC2H5)CH(OC2H5)2

    Polyglycols

    poly(propylene glycol) monalkyl etherspoly(ethylene glycol)s

    R(OC3H6)nOH, n = 25, R = CH3, C4H9R(OC2H4)nOC2H4OH, n = 2-5

    Othersulfo-cetyl alcohol CH3(CH2)14CH2OSO2OH

    Modifiers

    Additional modifiers such as activators, depressants, dispersants, and pH regulators are

    also commonly used in froth flotation. Activators may be added to chemically

    resurface the solid to increase the interaction with collectors that are otherwise

    ineffective alone. Depressants form a polar chemical envelope around the solid particle

    that enhances hydrophilicity or selectively prevents interaction with collectors that may

    induce unwanted hydrophobicity. Dispersants act to break agglomerated particles apart

    so that single particles interact with the collectors and air bubbles. Regulators are

    commonly used to control the pH since the hydrophobicity of systems is often optimal

    within a certain pH range. Frothers also often need a certain pH range in order to form

    stable bubbles. The presence of reducing agents may also serve to prevent the presence

    of soluble ions due to oxidation that may undesirably activate certain minerals.

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    Froth Flotation14

    Separation Kinetics

    It should be emphasized that the overall dynamics and kinetics of froth flotation

    separation involves the surface phenomena of the collectors chemical envelope

    surrounding the solid particles and its hydrophobic nature. While one must still consider

    the particle size and mass of the material since these affect the ability of the bubbles to

    successfully transport the solid particle, the type of material that lies beneath the

    hydrophobic envelope, once it is established, has little affect on the separation.

    Consequently, if enough conditioning time has been provided for collector action to

    selectively render the desired solid particles hydrophobic, the remaining overall

    separation is essentially dependent only upon the efficiency of the bubble and solid-

    particle interactions (assuming the particle size and density are within a suitable range).

    The overall flotation efficiency,EF, of the separation system may be defined by

    EF = EC EA ES (Eq. 2)

    whereEC is the collision efficiency,EA is the attachment efficiency, andES is the stability

    efficiency of the bubble-solid interaction. It is convenient to express the overall

    separation or flotation rate, rs, by

    ns Ck

    t

    Cr =

    =

    d

    d(Eq. 3)

    where Cis the concentration of the desired component (the hydrophobic component) in

    the frothing tank; t is time; n is the order of the process, n = 0, 1, 2,; and kis the

    flotation rate constant. This approach to flotation rate modeling is analogous to that used

    in chemical-reaction kinetics. It must be re-stressed that this rate expression is for the

    overall separation process and not the reaction of the collector at the solids surface.

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    Froth Flotation15

    In kinetic modeling, one often assumes a reaction order and subsequently determines the

    accuracy of that assumption based upon the experimental data. However, in practice for

    all but the simplest processes, there are often undeterminable or unknown system

    relationships. Kinetic modeling assuming a first-order process permits one to at least

    compare systems. This is often termed a pseudo-first-order assumption, and Eq. 3 with n

    = 1 has been found to adequately model most flotation systems comprised of a single

    solid-particle size and hydrophobic strength.

    Solution of this equation assuming pseudo-first-order kinetics, n = 1, yields the integrated

    rate expression

    ktt eCC

    = o (Eq. 4)or

    tkC

    Ct =

    o

    ln (Eq. 5)

    where Ct is the concentration of the desired component (the hydrophobic component) in

    the frothing tank at time tand Co is the concentration of the desired component at t= 0,

    the beginning of the separation. Note that the ratio Ct/Co is the fraction of the desired

    component remaining in the tank at time t.

    Based upon bubble-particle capture modeling, the flotation rate constant may be

    expressed by

    Vd

    hEGk

    b

    F

    2

    3= (Eq. 6)

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    Froth Flotation16

    where G is the gas flow rate; db is the average bubble diameter; and V and h are the

    volume and depth, respectively, of the particle suspension. If k is known, then the

    flotation efficiency,EF, can be estimated from Eq. 6 for a given system with known db.

    The flotation rate constant, k, can be determined from a plot of ln [Ct/Co] vs. t(see Eq. 5)

    from experimental data. If this plot is linear, then the assumption of overall first-order

    separation kinetics is valid. However, in actual systems this plot often exhibits

    nonlinearity that is usually attributable to a distribution of particle sizes and varying

    hydrophobic strengths of the solids. The result is a distribution of flotation rate constant

    values. The recovery rate is then represented by a sum of a series of exponential terms,

    and the plot of ln [Ct/Co] vs. twill exhibit curvature.

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    Froth Flotation17

    Experimental Equipment

    The principal experimental apparatus used for this lab is the D-12 Lab Flotation Machine

    manufactured by the Denver Equipment Company. A general schematic of the apparatus

    appears in Figure 4. Further details about this unit are provided in the manufacturers

    equipment manual available in the lab. The apparatus provides recirculation and

    agitation to maintain thorough mixing and solid/liquid suspension. Other types of

    agitators/mixer heads are supplied with the equipment; however, all experimentation

    should be done with the installed agitator unless directed otherwise by the instructor.

    Figure 4. Details of the Denver D-12 Lab Flotation Machine(photo by John Murphy).

    RPM IndicatorSpeed-Adjustment

    Knob

    Height-Adjustment

    Handle

    Speed Adjustment

    Lock Ring

    Height-Adjustment

    Stop Knob

    Power Switch

    Motor

    Frothing TankEffluent Lip

    Agitator Assembly

    Agitator ShaftHousing

    Aeration Valve

    Frothing Tank

    Support Column

    Base

    Belt Housing

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    Froth Flotation18

    The vertical position of the agitator is adjusted by pulling out the stop knob on the left-

    hand side of the unit and turning the lever on the right-hand side (Caution the agitator

    assembly is heavy). The rotation speed (rpms) of the agitator is varied by turning the

    knob at the top of the motor at the back of the unit (Caution only change the motor

    speed with the motor running). An rpm tachometer is located at the top of the unit. To

    change the agitator rpms, back off the lock ring (the knurled ring) and turn the top knob

    clockwise to decrease the speed and counterclockwise to increase the speed. Retighten

    the lock ring. Air, via a petcock valve located near the top of the agitator shaft, is

    introduced through the shaft into the aqueous solution to promote frothing. This aeration

    is controlled and metered using a rotameter and needle valve.

    Flotation tanks are available in various sizes ranging from 1.5 to 5 L. The flotation tanks

    are designed with an effluent lip to allow the froth to exit for collection in the froth-

    collection trays. Both stainless-steel and acrylic tanks are available. The acrylic tank

    may be used to qualitatively view the particle, bubble, and fluid behavior under agitation.

    The 1.5 L stainless steel tanks (2 are available) should be used for all other

    experimentation unless directed otherwise by the instructor.

    A temperature-controlled, heated water bath is available for operation at elevated

    temperature using the 1.5 L tanks. Only distilled water (available in the lab) should be

    used in the heating bath. The temperature set point is chosen via a dial located at the top

    of the immersion heater. A temperature meter and thermocouple are used to monitor the

    heating bath and flotation tank.

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    General Methodology

    The following procedures outline the general methodology for running most froth

    flotation experiments with the equipment in the lab (see next section for specific

    separations).

    1.) For ambient temperature operation, choose the desired frothing-tank size and

    place it under the agitator. A cutout under the frothing tank will center it. Lowerthe agitator to the desired height (typically to . from the frothing-tank

    floor). Caution firmly grasp the adjusting handle before disengaging the stop

    knob and ensure that the stop knob is fully engaged when finished.

    2.) If using the heating bath for elevated temperature operation, only the 1.5 L

    stainless-steel tanks can be used. Insert the frothing tank into the empty heating

    bath, centering it on the standoff on the floor of the heating bath. The frothing-tank effluent lip should nestle over the cutout along the top of the heating bath.Place the 1 in. high tray support under the heating bath and position the heating

    bath against the back of the flotation units main-support column. Lower the

    agitator to the desired height (typically to . from the frothing-tank floor).

    Adjust to center the agitator in the frothing tank. The frothing tank will firstneed to be filled with water to enable it to settle in the heating bath. Thus, do the

    following in conjunction with Step 3 fill the heating bath with distilled water to

    within 1 to 2 from the top of the heating bath. Place the froth diverter (a bent

    aluminum panel) over the lip of the frothing tank with the bent, side supportsfacing down.

    3.) Measure out a suitable amount of distilled water and fill the frothing tank with

    the agitator in place. For a 1.5 L tank, this amount is ~1.3 L of distilled wateryielding a liquid height approximately below the effluent lip of the frothing

    tank.

    4.) Place a froth-collection tray (3 or 4 plastic ones are available) under the effluentlip of the frothing tank. Position several other froth-collection trays nearby so

    that they can be readily replaced during a run.

    5.) Turn on the agitator and set the desired agitator speed using the set knob andrpm-indicator dial. Caution change the agitator speed only with the motor

    running and always retighten the lock ring when finished with the adjustment.

    6.) Open the aeration petcock valve at the top of the agitator shaft and the ball valveon the rotameter-inlet line, and set the airflow to the desired setpoint using the

    needle valve on the rotameter inlet line. Calibrate and record the airflow.

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    Froth Flotation21

    7.) Adjust the liquid height in the frothing tank if excessive spillage occurs at a

    given speed and airflow. Record the new volume.

    8.) Turn off the aeration at the ball valve on the rotameter-inlet line. Leave the

    aeration petcock valve open.

    9.) Pre-sieve the desirable-component and gangue solids to obtain particle sizes that

    enable subsequent separation by sieving and quantitative weight analyses after

    flotation. Record all sizes.

    10.) Weigh out the desirable-component and gangue solids to obtain the desired

    weight fraction. If a pre-mixed solids sample is used, determine the weight

    fraction. Record all weights.

    11.) Weigh out the desired amounts of collector, frother, depressant, promoter, etc. If

    liquid, measure out using a graduated cylinder or volumetric flask. Record all

    values.

    12.) Record the temperature of the frothing tank using the thermocouple. If using the

    heating bath, set the heating bath to the desired temperature using the immersion

    heater set-point dial (calibrated in oF). Maximum operating temperature should

    not exceed 75oC. Monitor the heated-bath and frothing-tank temperatures untilthe desired temperature is obtained.

    13.) Calibrate the pH meter using suitable calibration solutions (see the instructor).

    Record the pH in the frothing tank.

    14.) Pour the solids mixture to be separated into the frothing tank and allow mixing.

    15.) With the aeration still off, separately add any promoters, inhibitors, pHmodifiers, collectors, and frothers and record the time, temperature, and pH after

    each addition. A conditioning time (~typically 1 to 2 min. although it may be an

    im) should follow each addition, and the sequence of the additions and their

    conditioning times recorded. Note any qualitative observations of the frothingtank solution such as dispersion or coalescence of solids, bubble formation, etc.

    16.) To begin froth-flotation separation, turn on the ball valve at the rotameter-inlet

    line and record the time. Froth should build and begin to elute over the effluentlip of the frothing tank and into the froth-collection tray. A plastic spatula may

    be used to sweep the froth off the top of the frothing tank and into the froth-

    collection tray, especially if it tends to froth over the sides of the frothing tank.

    Depending upon the amount of froth, the froth-collection tray may need to beswitched over time. Record the times for froth-collection-tray switches to obtain

    time-based, separation information. Note any qualitative observations during the

    separation with time including froth amounts, discernable presence of solids in

    the froth, bubble-size distribution, bubble stability, etc.

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    Froth Flotation22

    17.) When frothing ceases, shut off the aeration at the ball valve on the rotameter-

    inlet line and record the time. Record any final qualitative observations.

    18.) Separately wash out each froth-collection tray with distilled water into filter

    paper (coffee filters work well) placed in a suitably fine sieve to prevent any

    solids loss.

    19.) Raise the agitator and rinse any remaining froth and solids back into the frothing

    tank using distilled water. Remove the frothing tank.

    20.) Separately wash out the frothing tank with distilled water into filter paper (coffee

    filters work well) placed in a suitably fine sieve to prevent any solids loss.

    21.) Remove the filter paper from the sieve, seal with tape, and label accordingly.

    22.) Dry the samples in the filter paper in a drying oven at 75100 oC. Record the

    drying time and temperature.

    23.) When dry, re-sieve each sample based upon the initial sieve-size distribution to

    obtain separation of the solids. Alternatively, if one of the solids is magnetic,

    use a magnetic plunger or magnetic separator to separate.

    24.) Weigh each separated sample and calculate recovery and grade (purity) obtained

    in the separation. Note any total sample loss.

    25.) Empty the water bath at the end of the experimental period, and return allsamples, reagents, and equipment to their proper place.

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    Froth Flotation23

    Suggested Separations

    Your group or your instructor can identify a synthetic mixture to study.

    Fluid Phase

    Water (do not use other liquids)

    Frothing Agents

    Dowfroth

    MIBCOthers that you identify (have the technician or instructor order them if necessary)

    Hydrophilic Particles

    Each group has the responsibility of selecting a hydrophilic particle. Use the sieves tocharacterize the size of the particles (dry).

    Hydrophobic ParticlesAn excellenthydrophobic particleis extremely fine activated carbon. Use the mortar andpestal to crush the activated carbon, and use the sieves to characterize the size of the

    particles (dry).

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    Froth Flotation24

    Suggested Separation Experiments for Copper and Ilmenite

    Sodium oleate, C17H33COONa, which is soluble in water serves as both a collector and

    frother in a number of metal and mineral separations. It can be used in the separation of

    copper metal from gangue, such as sand, and ilmenite from zircon in water. Table 3 lists

    the various sample and reagent materials available in the lab (Caution note the

    warnings at the bottom of this table). Sodium oleic acid is used as the reagent to prepare

    the sodium oleate solution. Please note that this reagent is relatively expensive.

    Maximum molar concentrations up to 3 x 10-4 M (which is ~0.1g of oleic acid for the 1.5

    L tank) should be used for each run, but less if possible (1.5 x 10 -4 M usually works

    well). Copper metal is available in two presized samples (150 mesh and 40,+60 mesh).

    Presized sand is available (50,+70 mesh), as well as common beach sand which may be

    sieved. Ilmenite and zircon are available both as a mixture (~22% by weight ilmenite)

    and as separate samples, all unsized. Other reagents listed in Table 3 are potential

    frothers, pH regulators, and depressants that may be used.

    A total solids loading of 50 g of material is suggested for the 1.5 L cell using sodium

    oleate concentrations up to 3 x 10-4 M. Typical weight fractions of 1040 % for the

    desirable component are also suggested to minimize sample usage.

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    Froth Flotation25

    Table 3. Materials for Froth Flotation of Cu/Sand and Ilmenite/Zircon

    Material Aldrich # or Other CAS #

    Sodium Oleic Acid** 23,397-8 143-19-1

    Copper (-150 mesh)*** 26,607-8 7440-50-8

    Copper (-40, +60 mesh)*** 26,608-6 7440-59-9

    Sand (-50, +70 mesh)*** 27,473-9 -Beach Sand (common, unsized) - -

    Ilmenite (FeTiO3) DuPont -

    Zircon (ZrO2SiO2) DuPont -

    Ilmenite(~22%) Zircon mixture InProsys (DuPont) -

    Starblast staurolite (FeOAl2O3SiO2H2O) DuPont -

    Sodium hydroxide** VWR # VW6720-1 1310-73-2

    Calcium Oxide - -

    Hydrochloric acid*, ** - -

    Sodium metasilicate*** 30,781-5 6834-92-0

    Sodium dodecyl sulfate** 86,201-0 151-21-3

    Poly (propylene glycol) monobutyl ether 43,810-3 9003-13-8

    Propylene glycol amyl ester (DowFroth-250TM) Dow -

    *Please see the instructor before handling this reagent.**Gloves should be worn when handling any of these reagents or their solutions.

    ***Avoid breathing any of the fine powders especially copper.

    The following are suggested froth-flotation experiments using sodium oleate solution

    (maximum of 3 x 10-4 M) for copper and ilmenite separation from sand and zircon,

    respectively.

    Investigate the effect of pH and pH regulator concentration and determine the

    optimum pH range for separation alkaline pH regulators such as caustic soda

    (NaOH), lime (CaO), or soda ash (Na2CO3) may be used. Note that it will be

    necessary to first dissolve these reagents in water on a hot plate at ~75 oC before

    addition to the frothing tank. Operation in the acidic range may also be investigated

    using hydrochloric (HCL) or sulfuric (H2SO4) acids. These pH modifiers may also

    serve as dispersants, depressants, and activators in some systems.

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    Froth Flotation26

    Investigate the effect of depressants that may inhibit any hydrophobicity of the

    gangue material sodium metasilicate, Na2SiO3, is a potential depressant of

    siliceous materials such as sand and zircon. It is also a pH regulator.

    Investigate the effect of particle size on the separation both the desired component

    and the gangue material size may be varied.

    Investigate the effect of agitator speed (rpms) on the separation.

    Investigate the effect of aeration on the separation perhaps allowing separation

    using lower sodium oleate concentrations.

    Investigate the effect of conditioning time for various modifiers on the separation.

    Investigate the effect of temperature on the separation temperature ranges from

    room temperature to 75oC may be performed.

    Investigate the viability of using alternative or additional frothers allowing

    separation using lower sodium oleate concentrations high-molecular-weight

    alcohols, such as poly (propylene glycol) monoalkyl ethers [R(OC3H6)nOH, where n

    = 2-5 and R = CH3, C4H9] such as poly (propylene glycol) monobutyl ether and

    propylene glycol amyl ester (Dowfroth-250TM) act as frothers.

    Investigate the rate of separation by determining concentration versus time over

    short time intervals the kinetic effects of particle size; aeration; solids loading;

    collector, frother, and modifier types and concentrations; and temperature may be

    thoroughly investigated (see Additional Analyses section).

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    Froth Flotation27

    Data Analysis

    The following are outlines of the types of analyses that may be performed. The

    application of these analyses will be determined from the types of experiments chosen.

    Calculate the % grade, G, or purity of the concentrate stream (the hydrophobic

    stream) from 100conc

    des

    =

    m

    mG where mdes is the weight of the desired component

    (usually the more valuable mineral) in the concentrate stream and mtot is the total

    weight of the concentrate stream. The % increase in % grade between the original

    weight fraction of the desired component and the weight fraction in the concentrate

    may also be reported.

    Calculate the % recovery, R, of the desired component in the concentrate stream

    (the hydrophobic stream) from 100feed

    des

    =

    m

    mR where mdes is the weight of the

    desired component in the concentrate stream and mfeed was the weight of the desired

    component in the feed stream before separation. Percent loss of the desired

    component via the tailings stream (the hydrophilic stream) may also be reported.

    Create plots of grade and recovery vs. agitator speed, pH, temperature, and

    concentrations of frother, collector, pH regulator, depressant, activator, etc. that

    were determined in the experiments. Similarly, create grade vs. recovery plots for

    comparisons.

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    Froth Flotation28

    Compare the results of other mineral processes e.g., tabling, mineral jigging,

    cycloning, and centrifuging often used in lieu of, or in conjunction, with that of

    froth flotation, specifically with respect to particle size, efficiencies, grade and

    recovery, cost, and other factors.

    Apply scale-up design procedures to froth flotation based upon the experimental

    results.

    Additional Analyses

    The following are additional analyses that require more extensive data collection.

    Determine the rate constant, k, of the separation process for a given set of conditions

    by experimentally determining concentration versus time and applying the rate

    expression, n

    d

    dkC

    t

    Crs =

    = , assuming a pseudo-first-order process (n = 1) where

    Cis the concentration of the desired component (the hydrophobic component) in the

    frothing tank and tis time. Create a normalized plot of ln

    o

    t

    C

    Cvs. twhere Ct is the

    concentration of the desired component at time, t, and Co is the initial concentration

    at time, t = 0, the beginning of the separation. Determine the first-order rate

    constant, k. If the process is not first order, investigate other possible rate

    expressions.

    Determine the rate constant, k, behavior with temperature, T, of the separation

    process given a set of conditions and apply the Arrhenius relationship,

    TEAk

    R/ae= , whereA is the frequency factor,Ea is the activation energy, and R is

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    the gas constant. Create a plot of ln kvs. 1T

    1. DetermineA andEa and relate these

    to the dynamics of the separation.

    General References

    Kirk-Othmer Encyclopedia of Chemical Technology 4th Ed., Vol. 11 (1997) pp. 81-106.

    Kirk-Othmer Encyclopedia of Chemical Technology 4th Ed., Vol. 23 (1997) pp. 478-536.

    Perrys Chemical Engineers Handbook, 5th Ed., (1984) pp. 21-46.

    McKetta, John J., Encyclopedia of Chemical Processing and Design, Vol. 23 (1985) pp.454-506.

    Last Update: August 2001