Precipitation Reactions and Gravimetric Analysis.pdf

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    Precipitation Reactions andPrecipitation Reactions and

    Gravimetric AnalysisGravimetric Analysis

    • Titrations where the titrant forms a precipitate with theanalyte.

    • Not always so straightforward – a number ofrequirements need to be met.

    • Precipitation reactions are often slow and have thetendency to absorb and co-precipitation other species.

    • Major applications: determination of halides by the

    precipitation silver salts.the determination of sulphate byprecipitation as barium sulphate.

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    Precipitation Equilibria: The solubility

    product

    What do we mean by the term “insoluble”?

     AgCl   →  Ag+ + Cl-

    We can write the equilibrium constant or the solubility

    product:

    Ksp = [Ag+][Cl-]

    Precipitation will not take place unless the product of[Ag+] and [Cl-] exceeds the Ksp

    E.g. AgCl = 1.82 x 10-10

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    Solubility product constants of selected slightlysoluble salts.

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    Factors affecting Ksp

    1. The common ion effect

    If there is an excess of one ion over the other, the

    solubility of the precipitate will decrease - Le Chatelier’sprinciple.

    2. The effect of complex-ion formation

    The presence of complexing agents that are able tocombine with either the cation or anion of a slightlysoluble compound - will result in an increase in itssolubility.

     AgCl   →  Ag+ + Cl-

     Ag+ + NH3   →  AgNH3+

     AgNH3+ + NH3   →  Ag(NH3)2

    +

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    Precipitation titrationsCalculate pCl for the titration of 100.0 ml of 0.100 M Cl- with 0.100 M

     AgNO3 after the addition of 0.00, 20.00, 100.0 and 110.0 ml of AgNO3.

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    The smaller the Ksp, the sharper the end point.

    0

    2

    4

    6

    8

    10

    12

    14

    16

    0.0 10.0 20.0 30.0 40.0 50.0 60.0 70.0

    vol Ag (ml)

        p

          A    g

     AgI Ksp = 8.3 x10-17

     AgBr Ksp = 5.0 x10-13

     AgCl Ksp = 1.82 x10-10

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    The more concentrated the reagents, the bigger the end

    point break.

    0

    2

    4

    6

    8

    10

    12

    14

    16

    18

    0.0 10.0 20.0 30.0 40.0 50.0 60.0

    vol Ag (ml)

        p      A    g

    0.1 M NaI

    0.5 M NaI

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    What about solutions that contain a

    mixture of anions?The compound that is least soluble

    precipitates first.

    0

    2

    4

    6

    8

    10

    12

    14

    16

    0 10 20 30 40 50 60 70 80 90 100 110 120

    vol Ag (mL)

        p     A    g

    If we look at the K sp value for AgI

    (8.3 × 10-17) we see that thecalculated solubility at equivalence

    point is

    Will the chloride start to

    precipitate?

    If we started with 25 ml of 0.1 M

    chloride, at the first equivalence

    point it will be

    Ksp = [9.1 x 10-9

    ][0.03] = 3×

    10-10

    .which is greater than Ksp(AgCl)

     AgCl starts to precipitate just

    before the equivalence point of

     AgI.

     AgI

     AgCl

    -9(AgI)

    - 109.1Ksp ][I ][Ag   ×===+

     M0.0333mL50mL25

     M0.1mL25=

    +

    ×

    1.82 x 10-10

    8.3 x 10-17

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    Detection of the end point: Indicators

    1. Indicators reacting with the titrant 

    2. Adsorption indicators

    1. Indicators reacting with the titrant 

    Mohr method• Chloride is titrated with standard silver nitrate solution

    using a soluble chromate salt indicator.

    CrO4

    -2 + 2Ag+ →  Ag2

    CrO4(yellow) (red)

    • The concentration of the indicator is important. The Ag2CrO4 should just start precipitating at theequivalence point.

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    • From Ksp, the concentration of Ag+ at the equivalencepoint is 1 x 10-5 M, meaning that Ag2CrO4 should

    precipitate just when [Ag+] = 1 x 10-5 M. If the solubility

    product of Ag2CrO4 is 1.1 x 10-12, we can calculate what

    the concentration of CrO4-2 should be:

    Ksp = [Ag+]2[CrO4

    -2]

    [CrO4-2] = 1.1 x 10-2 M

    • If greater : Ag2CrO4 will begin to precipitate before theequivalence point.

    • If less: Ag2CrO4 will only begin to precipitate after theequivalence point has been reached.

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    Volhard titration

    • Indirect titration for determining anions that precipitatewith silver (Cl-, Br -, SCN-).

    • A measured excess of AgNO3 is added in acidic solutionto precipitate the anion.

    X- + Ag+ →  AgX + excess Ag+

    • Excess Ag+ is then back-titrated with standard potassiumthiocyanate solution.

    Excess Ag+

    + SCN-

    →  AgSCN

    • The endpoint is detected by using Fe3+, which forms asoluble red complex with the first excess of titrant (SCN-):

    Fe3+ + SCN- → Fe(SCN)2+

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    2. Adsorption indicators (Fajan's method)

    • These are dyes that adsorb to the surface of a

    precipitate near the equivalence point.

    • The best–known example is fluorescein, which is used

    to indicate the equivalence point in the titration of Cl –

    with Ag+.

    Fluorescein Fluoresceinate anion (yellow green)

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    Consider the titration of Cl – with Ag+ in the presence of

    fluorescein.

    • Before equivalence point: Cl- is in excess and is theprimary adsorbed layer around the AgCl particles.

    • This repels the negatively charged fluoresceinate anions. AgCl : Cl-

    • When Ag+ is added in excess, the surface of theprecipitate become positively charge.

    • The fluoresceinate anions become adsorbed in thecounter–ion layer of the AgCl colloids.

     AgCl : Ag+ :: In-

    This gives these particles a red colour, thus indicating end

    point.

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    • If an indicator is adsorbed more strongly than the analyte

    ion, it cannot be used.

    • Dichlorofluorescein/ fluorescein is adsorbed less strongly

    than Cl –, Br  –, I – or SCN – and can be used in the titration

    of any of these ions.

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    • We want the maximum surface area for adsorption (i.e. a

    colloidal precipitate).

    • The indicator ion must form a precipitate with the ions

    adsorbed in the primary adsorption layer.

    • The photocomposition of AgX can be a major source of

    error in titrations involving silver - proper standardisation

    is important.

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    Gravimetric Analysis• The analyte is selectively converted to an insoluble form,

    which can then be dried and accurately weighed.

    • Can be one of the most accurate and precise methods ofquantitative analysis.

    • However, gravimetric methods have certain limitations!• The ideal product of a gravimetric analysis should be

    insoluble, easily filterable, very pure, and should have aknown composition.

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    Steps in gravimetric analysis:

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    Supersaturation and Nucleation

    • Crystallisation occurs in two phases: nucleation and

    particle growth.

    • Nucleation - molecules in solution come together and

    form small aggregates.

    • The addition of further molecules to these nuclei results

    in the formation of crystals.

    • Supersaturated sugar water is used make rock candy,with the sugar crystals nucleating and growing into

    crystals.

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    Particle size

    • The particle size of solids formed by precipitation varies.

    • Colloidal suspensions have tiny particles (10-7 to 10-4 cmin diameter) – cannot be easily filtered.

    • Crystalline suspensions - particles settle quickly and are

    readily filtered.

    • Large particles are also less prone to surface adsorption

    and are more easily washed free from impurities.

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    Rate of precipitation

    • Supersaturated solutions contain more solute thanshould be present at equilibrium.

    • Relative supersaturation =

    where Q is the actual concentration of solute and S isthe concentration at equilibrium.

    • Highly supersaturated solutions – fast nucleation,

    resulting in a suspension of many small particles.• Less supersaturated solutions produce fewer, larger

    crystals.

    S

    SQ −

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    Precipitation conditions

    We want to keep Q low and S high during precipitation.

    1. Precipitate from dilute solutions - keeps Q low.

    2. Add dilute precipitating reagents slowly while stirring -

    keeps Q low and promotes the formation of largecrystals.

    3. Precipitate from hot solutions - increases S.

    4. Precipitate at a low pH. Many precipitates are more

    soluble in acid medium and this slows the rate of

    precipitation.

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    Digestion

    • Precipitate is allowed to stand in solution.

    • Done at elevated temperatures.

    • Large crystals grow at the expense of the small ones –

    decreases surface area.

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    Impurities in precipitates

    • Precipitates may contain varying amounts of

    impurities.

    • Contamination of the precipitate occurs through co-

    precipitation.

    Two main mechanisms:

    1. occlusion or inclusion

    2. adsorption on the surface

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    Occlusion and Inclusion

    • Inclusions - impurity ions that occupy site in the crystallattice.

    • Generally occurs when the impurity ion has a similar sizeand charge.

    • Occlusions - pockets of impurity that become trappedwithin a crystal.

    • Occluded or included impurities are difficult to remove -

    digestion or reprecipitating may be helpful.

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    Surface Adsorption

    • Adsorbed impurities - those bound to the surface of acrystal.

    • The most common form of contamination.

    • Can often be removed by washing or digestion.

    • Some impurities can be treated with a masking agent toprevent them from reacting with the precipitant.

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    Washing the precipitate

    • Some impurities can be removed by washing the

    precipitate after filtering.

    • Cannot always wash with pure water!

    • This causes peptization (formation of colloids).

    • Prevented by adding an electrolyte to the washing

    solution.

    • Example: nitric acid is used as a wash solution for AgCl.

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    Drying or igniting the precipitate

    • Precipitates must generally be heated to remove waterand adsorbed electrolytes.

    • Usually be done by heating at 110 oC for 1 to 2 hours.

    • Ignition - required if a precipitate must be converted to a

    more suitable form for weighing.• Many metals that are precipitated using organic reagents

    can be ignited to their oxides.

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    Gravimetric calculations

    • The precipitate we weigh is usually in a different to the

    anayte whose weight we wish to report.

    • A gravimetric factor (GF) is used to help us with this

    conversion.

    • Example: If we wish to calculate the quantity of

    phosphorus in a Ag3PO4 precipitate, the GF would be

    calculated as follows:

    b

    a  x

    eprecipitatwt.formula

    analytewt.formulaGF   =

    1

    1  xPO Agwt.formula

    Pwt.atGF43

    =

    1

    1  x418.58

    30.97GF  =

    GF = 0.07399

    1

    1  xPO Agwt.formula

    Pwt.atGF43

    =

    1

    1  x418.58

    30.97GF  =

    GF = 0.07399

    1

    1  xPO Agwt.formula

    Pwt.atGF43

    =

    1

    1  x418.58

    30.97GF  =

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     An ore is analysed for the manganese content by

    converting the manganese to Mn3O4 and weighing it.If a 1.52 g sample yields Mn3O4 weighing 0.126 g,what would be the percent Mn2O3 in the sample? Whatabout the percent Mn?

    We need to convert from Mn3O4 to Mn2O3

    = 1.035

    = 8.58%

     An ore is analysed for the manganese content by

    converting the manganese to Mn3O4 and weighing it.If a 1.52 g sample yields Mn3O4 weighing 0.126 g,what would be the percent Mn2O3 in the sample? Whatabout the percent Mn?

    We need to convert from Mn3O4 to Mn2O3

    = 1.035

    = 8.58%

    b

    a  x

    eprecipitatwt.formula

    analytewt.formulaGF  =

    2

    3  x

    228.8

    157.9GF  =

    100 x1.52

    GFxg0.126O%Mn 32   = 1

    3  xOMn

    MnGF

    43=

    = 5.97%

    2

    3  x

    228.8

    157.9GF  =