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    Chapter 18:Solubility and

    Simultaneous Equilibria

    Chemistry: The Molecular Nature

    of Matter, 6E

    Jespersen/Brady/Hyslop

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Solubility of Salts

    Precipitation reactions (CH 5)

    Exchange reactions in which one product is waterinsoluble compound

    CaCl2 (l)+ Na2CO3 (aq)CaCO3 (s)+ 2 NaCl (aq)

    Insoluble compound Compound having water solubility of less than 0.01

    mole of dissolved material per liter of solution

    S > 0.01 M

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Solubility of Salts Ch 5 Solubility Rules

    Guidelines for what is insoluble Doesnt mean compound wont dissolve at all

    Just not very much

    Now want to Quantitate solubilities

    Explore conditions under which some compoundsprecipitate and others dont

    Applications in separation of ions

    Especially toxic metal ions such as Hg2+, Tl3+, U3+, etc.

    3

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Why Study Solubility? Tooth decay

    Acids from foods dissolve enamel, [Ca5(PO4)3OH] =hydroxyapatite

    Reduced by fluoride which replaces OHto formfluorapatite = [Ca5(PO4)3F] and CaF

    Lower solubility means it doesnt dissolve as readilyin acid

    Upper and Lower GI

    X-ray of upper and lower gastrointestinal tract Clarified by barium sulfatevery insoluble

    BaSO4toxic, but safe, as it doesnt dissolve

    4

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Solubility Equilibria Solids in equilibrium with ions in solution

    When ionic salt dissolves in water Assume dissociates into separate hydrated ions

    Initially, no ions in solution

    CaF2(s) Ca2+(aq) + 2 F

    (aq) As dissolution occurs, ions build up and collide

    Ca2+(aq) + 2 F(aq) CaF2(s)

    At Equilibrium CaF2(s) Ca

    2+(aq) + 2 F(aq)

    Now have saturated solution

    5

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Solubility and Solubility ProductSolubility

    Amount of salt that dissolves in given amount ofsolvent to give saturated solution

    Concentration Infinite number of values

    Solubility product Product of molar concentrations of ions in saturated

    solution raised to appropriate powers Equilibrium constant Only one value for given solid at given temperature

    Temperature dependence Solubilities and thus Kspchange with T

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    Solubility of Salts Consider AgCl in water

    Only a very small amount dissolves Equilibrium exists when solution is saturated

    AgCl(s) Ag+(aq) + Cl(aq)

    Equilibrium law:Ksp= [Ag

    +][Cl]

    Ksp= solubility product constant

    Solubility equilibrium Reflects solubility of compound

    Product of ion concentrations

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    Solubility and Solubility Product Solubility

    Amount of salt that dissolves in given amount ofsolvent to give saturated solution

    Solubility product Product of molar concentrations of ions in

    saturated solution raised to appropriate powers Temperature dependence

    Solubilites and thus Kspchange with temperature

    Table 18.1 Solubility product constants at 25 C

    More in Table C.6 (Appendix p. A45)

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    Ion Product vs. Solubility Product

    For: AxBy(s) x Ay+(aq)+ y Bx(aq)

    Ion Product Qsp= [Ay+]x[Bx]y Like solubility product, except initial concentrations

    are used

    Any dilution of salt that results in an unsaturatedsolution

    Varies with concentration

    Solubility Product Ksp

    = [Ay+]x[Bx]y

    Ion product value for saturated solution becomesconstant

    Uses equilibrium concentration

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    Writing KspEquilibrium Laws

    For: AxBy(s) xAy+ (aq)+ y Bx(aq)

    Ksp= [Ay+]x[Bx]y

    Ex.

    BaSO4(s)Ba2+(aq)+ SO4

    2(aq) Ksp= [Ba2+][SO4

    2]

    CaF2(s)Ca2+(aq)+ 2F(aq) Ksp= [Ca2+][F]2

    Ag2CrO4(s)2Ag+(aq)+ CrO4

    2(aq) Ksp= [Ag+]2[CrO4

    2]

    AuCl3(s)Au3+(aq)+ 3Cl(aq) Ksp= [Au

    3+][Cl]3

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    Calculation using Kspand MolarSolubilities

    Molar solubility Moles of salt dissolved in one liter of saturated

    solution

    Assume what little dissolved, dissociates 100%

    Assumes there is somesolid Quantity is not important

    Solid is notincluded in mass action expression

    A. Given Solubilites, Calculate KspB. Given Ksp, Calculate Solubility

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    A. Given Solubilites , Calculate Ksp

    Ex 1.At 25 C, the solubility of AgCl is 1.34 x

    105 M. Calculate the solubility product for AgCl.AgCl (s) Ag+(aq) + Cl(aq)

    Ksp= [Ag+][Cl]

    Ksp= (1.34 x 105)(1.34 x 105)

    Ksp=1.80 x 1010

    AgCl(s) Ag+ (aq) + Cl(aq)

    I 0.00 0. 00

    C

    E

    1.34 x 105 M 1.34 x 105 M

    1.34 x 105 M 1.34 x 105 M

    12

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    Your Turn!The solubility of a salt, A2B3, is found to be

    3.0105

    M. What is the value ofKsp?A. 2.6 x 10-21

    B. 5.4 x 10-9

    C. 2.4 x 10-23D. 1.7 x 10-21

    A2B3 2A3+ + 3B2-

    [A] = 2(3.0 x 10-5) [B] = 3(3.0 x 10-5)

    K = [A]2[B]3= (6.0 x 10-5)2(9.0 x 10-5)3

    K = 2.6 x 10-21

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    B. Given Ksp, Calculate Solubility

    Ex. 2 What is the molar solubility of CuI in

    water? What are the equilibriumconcentrations of Cu+and I?

    Step 1. Write balanced equation for

    dissociation of saltCuI(s) Cu+(aq)+ I(aq)

    Step 2. Write equilibrium law

    Ksp= [Cu+][I]

    Step 3. Kspfor salt

    Ksp= 8.0 108

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    Ex. 2Molar Solubilities from Ksp

    Step 4. Concentration Table

    Step 5. Plug into and solve Kspexpression

    Ksp= 8.0 108= (x)(x)

    x2= 8.0 108

    x = 2.8 104 M= calculated molar solubilityof CuI = [Cu+] = [I]

    Conc (M) CuI(s) Cu+ (aq) + I(aq)

    Initial 0.00 0. 00

    Change

    Equilm

    +x+x

    xx

    x

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    Molar Solubility and KspProblems

    Strategy for solving:

    1. Write balanced equation for dissociation of salt

    2. Write equilibrium law

    3. Kspfor salt (from table)

    4. Concentration table

    5a.Solve for x = solubility

    Or

    5b. Given solubilities, calculate Ksp

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    A. Given Solubilites , Calculate Ksp

    Ex. 3 Calculate Kspfor Bi2S3 given solubility is

    1.0 x 1015

    M at 25 C.Step 1.Write balanced equation for

    dissociation of salt

    Bi2S

    3(s) 2 Bi3+(aq) + 3 S2(aq)

    Step 2.Write equilibrium law

    Ksp= [Bi3+]2[S2]3

    Step 3.Use Concentration Table todetermine concentrations of each ion

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    A. Given Solubilites , Calculate Ksp

    Bi2S3(s) 2 Bi2+(aq) 3 S2(aq)

    I (No entries 0.00 0.00

    C in this

    E column)

    +3(1.0

    105)+2(1.0 1015)

    3.0 10152.0 1015

    Ksp= (2.0 x 1015)2(3.0 x 1015)3

    Ksp= (4.0 x 1030

    )(27 x 1045

    )

    Ksp= 1.1 x 1073

    Step 4.Solve for Ksp

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    B.Given Ksp, Calculate Solubilities

    Ex. 4 Calculate the solubility of CaF2in water

    at 25 C, if Ksp= 4.0 x 1011.CaF2(s) Ca

    2+ (aq)+ 2F(aq)

    Step 1:Write Equilibrium Law

    Ksp= [Ca2+][F]2

    Step 2: Concentration Table

    Conc (M) CaF2

    (s) Ca2+ (aq) 2F(aq)

    Initial (No entries 0.00 0.00

    Change in this

    Equilm column)

    +2x+x

    2xx

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    Ex. 4Molar Solubilities from Ksp

    Step 3. Plug into and solve Kspexpression

    Ksp= [Ca2+][F]2= (x) (2x)2

    4.01011= 4x3

    4

    100.4

    x

    113

    3 11100.1

    x

    X = 2.15 104M = molar solubility of CaF2

    [Ca2+] = X = 2.15 104M

    [F

    ] = 2x = 2(2.15

    104

    M) = 4.3

    104

    M 20

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    Your Turn!Given Ksp= 1.4 x 10

    7for Cu(IO3)2, calculate

    the solubility of this salt.

    A. 5.2 x 10-3

    B. 3.3 x 10-3C. 2.6 x 10-4

    D. 3.7 x 10-4

    Cu(IO3)2(s) Cu2+ + 2IO3-Ksp= 1.4 x 10

    -7= s (2s)2

    s = 3.3 x 10

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    Your Turn!What is the molar solubility of Ag3PO4in water? What

    is the molar concentration of each ion in solution?Ksp= 8.9 1017

    A. 5.4 x 10-9 [Ag+] = 5.4 x 10-9 [PO43-] = 5.4 x 10-9

    B. 4.3 x 10-5 [Ag+] = 1.3 x 10-4 [PO43-] = 4.3 x 10-5

    C. 5.4 x 10-9 [Ag+] = 1.6 x 10-8 [PO43-] = 5.4 x 10-9D. 9.7 x 10-7 [Ag+] = 2.7 x 10-4 [PO4

    3-] = 9.7 x 10-7

    Ag3PO4 (s) 3Ag+ + PO4

    3-

    Ksp= 8.9 x 10-17= [Ag][PO] = (3s)3(s)

    s = 4.3 x 10

    [Ag+] = 3s = 1.3 x 10-4M

    [PO43-] = s = 4.3 x 10-5M

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Your Turn!What is the solubility of PbCl2in grams per 100.0 mL

    at 25

    o

    ? Ksp= 1.7 x 10

    -5

    .A. 0.56 g

    B. 0.72 g

    C. 0.45 g

    D. 0.39 g

    PbCl2(s ) Pb2+ + 2Cl-

    Ksp= 1.7 x 10-5= [Pb2+][Cl-]2= s (2s)2

    s = 1.62 x 10-5 M

    (1.62 x 10-5mol/L) x (278.11 g/mol) x 0.1 L = 0.45 gin 100 mL

    23

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Relative Solubilities Kspgives information about solubility of salts

    Must be careful when comparing relativesolubilities

    Two possible cases when comparing:

    1. Must compare salts that contain the same numberof ions

    AgI(s) Ksp= 1.5 x 1016

    CuI(s) Ksp= 5.0 x 1012

    CaSO4(s) Ksp= 6.1 x 105

    Each salt dissolves to produce 2 ions

    Salt cation + anion

    Ksp

    = [cation][anion]

    24

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Relative Solubilities1. Must compare salts that contain the same number

    of ions If solubility = x

    Then [cation] = [anion] = x

    Ksp= x2

    So can compare solubilities by comparing Ksps

    CaSO4> CuI > AgI

    most soluble least soluble

    largest Ksp smallest Ksp

    solubilityKx sp

    25

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Relative Solubilities2. Compare salts with different number of ions

    Each produces different number of ions

    Each uses different Kspexpression

    No way to predict relative solubility based on Ksp

    Bi2S3> Ag2S > CuSMost soluble least soluble

    26

    Salt Ksp #ions CalcdSolubility (M)

    CuS 8.5 x 1045 2 9.2 x 1023

    Ag2S 1.6 x 1049 3 3.4 x 1017

    Bi2S3 1.1 x 1073 5 1.0 x 1015

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Common Ion Effect Up until now all calculations in pure water

    What happens if I add another salt to a solutioncontaining one of the ions in our insoluble salt?

    Consider PbI2(s) Pb2+(aq)+ 2I(aq)

    Saturated solution of PbI2in water

    Filter

    Add KI

    PbI2(yellow solid) precipitates out

    Why? Le Chateliers Priniciple

    Add product I

    Equilibrium moves to left and solid PbI2forms

    27

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Common Ion Effect Common ion

    Ion in solution that is supplied by more than onesolute

    Common Ion Effect

    Lowering of solubility of ionic compound byaddition of common ion

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Ex. 5 Common Ion Effect

    A. What is the molar solubility of Ag2CrO4in

    0.10M AgNO3solution? Ksp= 9.0 1012.B. What is the molar solubility of

    Ag2CrO4in pure water?

    C. What is the molar solubility ofAg2CrO4in 0.100 M Na2CrO4?

    Ag2CrO4(s) 2Ag+(aq)+ CrO4

    2(aq)

    Ksp= [Ag+]2[CrO4

    2] = 9.0 1012

    29

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Ex. 5 Common Ion EffectA. Molar solubility of Ag2CrO4in 0.10M AgNO3

    solution? Ksp

    = 9.0 1012

    Ksp= 9.0 1012= (0.10M)2[x]

    x = Solubility of Ag2CrO4= 9.0 1010M

    [Ag+] = 0.10 M

    [CrO4

    2] = 9.0 1010M

    )010.0(

    100.9x

    12

    Ag2CrO4(s) 2Ag+(aq) + CrO4

    2(aq)

    I (No entries 0.10 M 0.00

    C in thisE column)

    +x

    +2xx0.10

    30

    ff

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Ex. 5 Common Ion EffectB.Solubility of Ag2CrO4in pure water

    Ag2CrO4(s) 2Ag+(aq) + CrO42(aq)I (No entries 0.00 M 0.00 M

    C in this

    E column)

    +x+2x

    x2x

    Ksp= [Ag+]2[CrO4

    2] = (2x)2(x) = 9.0 1012= 4x3

    3 12312

    1025.24

    100.9

    x

    X = Solubility of Ag2CrO4= 1.31 104M

    [CrO42] = x = 1.31 104 M

    [Ag+

    ] = 2x = 2.62 104

    M 31

    C ff

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Ex. 5 Common Ion EffectC. Solubility of Ag2CrO4in 0.100 M Na2CrO4?

    Ag2CrO4(s) 2Ag+(aq) + CrO42(aq)I (No entries 0.00 M 0.10 M

    C in this

    E column)

    +x+2x

    2x 0.10

    Ksp= (2x)2(0.10) = 9.0 1012= 4x2(0.10)

    1112

    1025.24.0

    100.9

    x

    x = Solubility of Ag2CrO4= 4.7 106M

    [CrO42] = x = 4.7 106 M

    [Ag+

    ] = 2x = 9.5 106

    M 32

    E 5 C I Eff

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Ex. 5 Common Ion Effect

    33

    C. Solubility of Ag2CrO4in 0.100 M Na2CrO4?

    Ag2CrO4(s) 2Ag+(aq) + CrO42

    (aq)I (No entries 0.00 M 0.10 M

    C in this

    E column) 2x 0.10

    Ksp= (2x)2(0.10) = 9.0 1012= 4x2(0.10)

    1112

    1025.24.0

    100.9

    x

    x = Solubility of Ag2CrO4= 4.7 106M

    [CrO42] = x = 4.7 106 M

    [Ag+] = 2x = 9.5 106M

    +x+2x

    Y T !

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Your Turn!What effect would adding copper(II) nitrate

    have on the solubility of CuS?A. The solubility would increase

    B. The solubility would decrease

    C. The solubility would not change

    34

    Y T !

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Your Turn!The molar solubility of PbF2in 0.10 M Pb(NO3) solution

    is 3.1 106M. What is Ksp

    for PbF2?

    A. 1.2 x 10-6

    B. 3.1 x 10-7

    C. 9.6 x 10-13

    D. 3.8 x 10-12

    PbF2(s) Pb2+ + 2F-

    [Pb2+] = 0.10 M [F-] = 2(3.1 x 10-6)M

    K = [Pb2+][F-]2= (0.1)(6.2 x 10-6)2

    K = 3.8 x 10-12

    35

    P di ti if P i it t ill F

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Predicting if Precipitate will Form

    In making a solution containing various ions,

    will the salt precipitate at the givenconcentrations?

    For precipitate of salt to form, solution must besupersaturated.

    Same as asking if given mixture of reactantsand products is an equilibrium mixture

    Can judge by calculating ion product, Q

    Comparing with solubility product, Ksp

    36

    P di ti if P i it t ill F

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Predicting if Precipitate will Form

    In making a solution containing various ions,

    will the salt precipitate at the givenconcentrations?

    For precipitate of salt to form, solution must besupersaturated.

    Same as asking if given mixture of reactantsand products is an equilibrium mixture

    Can judge by calculating ion product, Q

    Comparing with solubility product, Ksp

    37

    P di ti if P i it t ill F

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Predicting if Precipitate will Form

    38

    For: AxBy(s) x Ay+(aq)+ y Bx(aq)

    Ion Product Qsp= [Ay+]x[Bx

    ]y Solubility Product Ksp= [A

    y+]x[Bx]y

    Precipitatewillform (untilsatisfy Ksp)

    Qsp

    > Ksp

    supersaturated

    Noprecipitatewill form

    Qsp=KspQsp< Ksp

    saturatedunsaturated

    P di ti P i it ti

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Predicting Precipitation

    Ex. 6 Does a precipitate of PbI2(Ksp=1.4x108)

    form if 100.0 mL of 0.0500 M Pb(NO3)2are mixedwith 200.0mL of 0. 100 M NaI?

    PbI2(s) Pb2+(aq)+ 2I(aq)

    Ksp= [Pb2+][I]2= 1.4 108

    Strategy for solving

    1. Calculate concentrations in solution to be prepared

    2. Calculate Qsp= [Pb2+][I]2

    3. Compare Qspto Ksp

    39

    E 6 P di ti P i it ti

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Ex. 6 Predicting PrecipitationStep 1. Calculate concentrations

    Here diluting 100 mL to 300mL Vtotal= 100.0 mL + 200.0 mL = 300.0 mL

    [Pb2+]o= 1.67 102M

    [I] = 6.67 102M

    mL

    mLmmolmL

    0.300

    )/100.0)(0.200(

    solutionofmL

    Iofmmol]I[

    mL

    mLmmolmL

    0.300

    )/0500.0)(0.100(

    solutionofmL

    Pbofmmol]Pb[

    22

    40

    E 6 P di ti P i it ti

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Ex. 6 Predicting PrecipitationStep 2. Calculate Qsp

    Qsp

    = [Pb2+][I]2= (1.67102M)(6.67102M)2

    Qsp=7.43 105

    Step 3. Compare Qspand Ksp

    Qsp= 7.43 105

    Ksp= 1.4 x 108

    Qsp> Kspso precipitation willoccur

    How much precipitate will form and what will ion

    concentrations be at the end? Kspsmall

    So most ions precipitate out as PbI2 Reaction essentially goes to completion

    41

    E 6 P di ti P i it ti

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Ex. 6 Predicting Precipitation If reaction goes essentially to completion, what

    will final equilibrium concentrations be?

    1. Do stoichiometric calculations for precipitateformation

    2. Then do equilibrium calculations to determine ion

    concentrations in solution.Step 1. Stoichiometric Calculation

    Pb2+(aq) + 2I(aq) PbI2(s)

    Beforerxn(100mL)(0.0500M)= 5.00 mmol (200mL)(0.100M)= 20.00 mmol No effect on K

    sp

    AfterRxn

    5.005.00 =0.00 mmol

    20.002(5.00)= 10 mmol

    42

    E 6 P edicting P ecipitation

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Ex. 6 Predicting PrecipitationStep 2. System at equilibrium

    Some small amount of PbI2redissolves to formequilibrium [Pb2+]

    Basically a common ion problem

    PbI2(s) Pb2+(aq) + 2I(aq)

    Initial concns 0.00 10.0mmol/300mL= 3.33 x 102M

    Equilibrium

    concns

    3.33 x 102M + 2x 3.33 x 102M

    +x

    Ksp= 1.4 108= [Pb2+][I]2= (x)(3.33 x 102)2

    ]Pb[103.1

    )1033.3(

    104.1x 25

    22

    8

    M

    43

    Ex 6 Predicting Precipitation

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Ex. 6 Predicting Precipitation

    3.33 x 102M >> 2x, so approximation valid

    Final equilibrium concentrations of Pb2+andIin 100.0 mL of 0.0500 M Pb(NO3)2mixed

    with 200.0mL of 0. 100 M NaI

    [I] = 3.33 x 102M

    [Pb2+] = 1.3 x 105M

    44

    Ex 7 Predicting Precipitation

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Ex. 7 Predicting Precipitation

    Suppose you mix 100.0 mL of 0.200 M BaCl2

    with 50.0 mL of 0.0300 M Na2SO4. WillBaSO4(Ksp= 1.1 10

    10) precipitate?

    BaSO4(s) Ba2+(aq)+ SO4

    2(aq)

    Ksp= [Ba2+

    ][SO42

    ]Step 1.Calculate concentrations

    [Ba2+] = 0.133 M

    mL

    mL

    mol

    molM

    0.150

    0.100

    BaCl1

    Ba1BaCl200.0]Ba[

    2

    2

    22

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    Ex 7 Predicting Precipitation

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Ex. 7 Predicting Precipitation

    [SO42] = 0.0100 M

    Step 2. Calculate Qsp

    Qsp= [Ba

    2+

    ][SO42

    ] = (0.133)(0.0100) Qsp= 1.33 10

    3

    Step 3. Compare Qspand Ksp

    Ksp

    = 1.1 1010

    1.33 103>> 1.1 1010

    Qsp>> Ksp

    So BaSO4will precipitate

    mL

    mL

    mol

    molM

    0.150

    0.50

    )(SONa1

    SO1)(SONa0300.0]SO[

    42

    24

    4224

    46

    pH and Solubility

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    pH and Solubility Mg(OH)2(s) Mg

    2+(aq) + 2OH(aq)

    OH

    shift equilibrium to left Add H+ shift equilibrium to right

    Le Chateliers Principle

    Ag3PO4(s) 3Ag+

    (aq) + PO43

    (aq) Add H+ solubility

    H+(aq) + PO43(aq) HPO4

    2(aq)

    AgCl(s) Ag+

    (aq) + Cl

    (aq) Add H+- has no effect on solubility Why?

    Clis very, very weak base, so neutral anion

    So adding H+doesnt effect Clconcentration47

    Your Turn!

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Your Turn!What is the molar solubility of PbI2in pure

    water? Ksp= 9.8 x 10-9

    A. 2.1 x 10-3

    B. 1.7 x 10-3

    C. 4.9 x 10-5D. 1.4 x 10-3

    PbI2(s) Pb2+ + 2I-

    K = 9.1 x 10 = [Pb2+][I-] = s (2s)2s = 1.4 x 10-3M

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Your Turn!What is the molar solubility of PbI2in 0.20M

    NaI solution? Ksp= 7.9 109

    A. 3.9 x 10-10

    B. 2.4 x 10-7

    C. 6.1 x 10-9D. 2.4 x 10-7

    PbI2(s ) Pb2+ + 2I- [I-] = 0.20M

    K = 7.9 x 10-9= [Pb2+][I-]2= [Pb2+](0.20)2[Pb2+] = 2.4 x 10-7M

    Molar solubility = [Pb2+] = 2.4 x 10-7M

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Your Turn!What is the molar solubility of PbI2in 0.20M

    Pb(NO3) solution? Ksp= 7.9 109

    A. 4.9 x 10-8

    B. 3.7 x 10-3

    C. 1.1 x 10-4D. 2.2 x 10-4

    PbI2(s ) Pb2+ + 2I- [I-] = 0.20M

    K = 7.9 x 10-9= [Pb2+][I-]2= (0.20) [I-]2[I-] = 2.2 x 10-4M

    Molar solubility = 1/2 [I-] = 1.1 x 10-4M

    50

    Your Turn!

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Your Turn!From the previous two Your Turn problems,

    what can you conclude about the relativeeffect of added Pb2+vs. added I?

    A. Adding Pb2+increases the solubility of PbI2

    more than I

    -

    .B. Adding I-decreases the solubility of PbI2more than Pb2+.

    C. Adding Pb2+

    decreases the solubility ofPbI2 more than I-.

    D. They both have the same effect on thesolubility of PbI

    2

    .51

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    Solubility and Simultaneous

    Equilibria

    Part 2

    Metal Oxides Undergo Reaction

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    Metal Oxides Undergo Reactionwith Water

    53

    Usually ignore reaction of ionic solid with water If the anion of a salt is very basic, a subsequent

    reaction of the anion with water occurs

    Such is the case of many metal oxides

    Kbfor O2= 1 1022

    So Ag2O actually dissociates to form Ag+and OH

    Kspvalue listed takes this subsequent reaction into account

    Ag2O(s)2Ag+(aq)+ O2(aq) KspO2(aq)+ H2O 2OH

    (aq) KbAg2O(s)+ H2O 2Ag

    +(aq)+ 2OH(aq) Knet

    Metal Sulfides Also Undergo Reaction

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Metal Sulfides Also Undergo ReactionWith Water

    54

    Sulfide ion (S2

    ) is also very basic Doesnt exist in aqueous solution

    Metal sulfides also undergo a subsequent

    reaction with waterAg2S(s) 2Ag

    +(aq) + S2(aq) KspS2(aq)+ H2O OH

    (aq)+ HS(aq) Kb

    Ag2S(s)+ H2O

    2Ag+

    (aq)+ OH

    (aq)+ HS

    (aq)KnetActual Ksp=[Ag

    +]2[OH][HS]

    Most Water-Insoluble Metal Oxides

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    H+ reacts with O2to produce H2O

    Releases metal ion from solid

    Recall that oxide ion is too powerful a base to exist inaqueous solution

    Ex. Fe2O3(s)+ 6H+

    (aq)

    2Fe3+

    (aq)+ 3H2OHow do water-insoluble metal oxides form?

    Usually in basic solution

    Elimination of water is often involved

    Metal ion must be capable of reacting with OHto extractoxide ion and leave water or H+

    Ex: 2Ag+(aq)+ 2OH(aq)Ag2O(s)+ H2O

    2Fe3+(aq)+ 3OH(aq)Fe2O3(s)+ 3H+(aq)

    Most Water-Insoluble Metal OxidesDissolve in Acid

    55

    Formation of Insoluble Metal Sulfides

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Sulfur is below oxygen in Group VIA

    As a result, metal sulfides are similar tometal oxides

    S2(like O2) is too strong of a base to exist in

    water Sulfides dissolve by reacting with water

    Ex. Na2S(s)+ H2O 2Na+(aq)+ HS(aq)+ OH(aq)

    Formation of Insoluble Metal Sulfides

    56

    Basic Salts Are More Soluble In

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Basic Salts Are More Soluble InAcids

    57

    Subsequent reactions assist the solubility of solids If anion of salt is basic, it will react in acidic

    solution to dissolve more fully

    Net reaction of such dissolutions is called Kspa

    ZnS(s) Zn2+(aq) + S2(aq) KspS2(aq)+ H+(aq)HS(aq) 1/Ka2HS(aq)+ H+(aq)H2S

    (g) 1/Ka1

    ZnS(s)+ 2H+(aq)Zn2+(aq) + H2S(aq) Kspa

    Kspa(acidic) and Ksp(basic) are listed in Table 18.2

    Learning Check

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    Jespersen/Brady/HyslopChemistry:TheMolecularNatureofMatter,6E

    Learning Check

    58

    What is the molar solubility of BaCO3in 3.0 M

    HCl? KspBaCO3= 5.0 x 10

    9

    H2CO3: Ka1 = 4.3 x 107Ka2 = 4.7 x 10

    11

    BaCO3(s)+ 2H+(aq) Ba2+(aq) + H2CO3(aq)

    X =1.5 M

    Reaction of Metal ions with HS

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    Reaction of Metal ions with HS Metal sulfides can form

    Some metal ions are so reactive that they reactwith H2S directly

    These active ions include Cu2+, Pb2+, and Ni2+

    A typical reaction is:

    Cu2+(aq)+ H2S(aq) CuS(s)+ 2H+(aq)

    Large value of Kindicates that

    Equilibrium lies far to right

    Only forward reaction important

    Sulfides require closer investigation