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    Electrochemical thermodynamics

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    Electrochemical thermodynamics

    elw Q E nF E

    The electrical work wel that can be done by

    this system is:

    el T,pw G

    welectrical V Q

    since Q n F

    n F E

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    where n is the number of

    electrons transferred and F is

    Faradays constant

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    Combining Reduction

    Half-Equations

    Fe3+(aq) + 3e- Fe(s) EFe3+/Fe = ?

    Fe2+(aq) + 2e- Fe(s) EFe2+/Fe = -0.440 V

    Fe3+(aq) + 1e- Fe2+(aq) EFe3+/Fe2+ = 0.771 V

    Fe3+(aq) + 3e- Fe(s)

    G= +0.880 (F) J

    G= -0.771 (F) J

    G= +0.109 (F) JEFe3+/Fe = +0.331 V

    G= +0.109 (F) J = -nFE

    EFe3+/Fe= +0.109 (F) J /(-3F) = -0.0363 V

    but cannot simply add E

    can add G

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    Hitung E0 untuk reaksi :

    Cr2+ + 2e Cr (s) E01

    = ?

    Diketahui :

    Cr3+ + 3e Cr (s) E02 = 0,5 V

    Cr3+ + e Cr2+ E03 = 0,41 V

    Solution :

    G01 = 2FE0

    1

    G0

    2 = 3FE0

    2

    G03 = FE0

    3

    G01 = G0

    2G0

    3

    G01 = 2FE0

    1

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    Spontaneous Change in

    Oxidation-Reduction Reactions

    G < 0 for spontaneous change.

    Therefore Ecell > 0 because Gcell = -nFEcell

    Ecell> 0 Reaction proceeds spontaneously as written.

    Ecell = 0

    Reaction is at equilibrium.

    Ecell< 0 Reaction proceeds in the reverse direction

    spontaneously.

    G = H TS

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    The Behavior or Metals Toward Acids

    M(s) M2+(aq) + 2 e- E= EM2+/M

    2 H+(aq) + 2 e- H2(g) EH+/H2 = 0 V

    2 H+(aq) + M(s) H2(g) + M2+(aq)

    Ecell = EH+/H2 EM2+/M = EM2+/M

    When EM2+/M < 0, Ecell > 0. Therefore G

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    Will aluminum metal displace Cu2+ from

    aqueous solution ? That is, will a

    spontaneous reaction occur in the forward

    direction for the following reaction ?

    2 Al(s) + 3 Cu2+ (1 M) 3 Cu(s) + 2 Al

    3+ (1 M)

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    Because E0cell is positive, the

    direction of spontaneous change

    is that of the forward reaction

    Al(s) will displace Cu2+ from

    aqueous solution under

    standard-state conditions

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    Relationship Between Ecell and Keq

    G = -RTln Keq = -nFEcell

    Ecell =nF

    RTln Keq

    Ecell =z

    0.025693 ln Keq= (0.0592/n ) log Keq

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    FIGURE 20-8 A summary of important thermodynamic, equilibriumand electrochemical relationships under standard conditions.

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    G = G + RTln Q

    nFEcell = nFEcell + RTln Q

    Convert to log10 and calculate constants.

    Ecell = Ecell log Qz

    0.0592 VThe Nernst Equation

    Ecell = Ecell ln QnF

    RT

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    Concentration Cells

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    Concentration Cells

    Electrolyte concentration cell

    the electrodes are identical; they

    simply differ in the concentration ofelectrolyte in the half-cells.

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    Concentration Cells

    Electrode concentration cells

    the electrodes themselves have

    different compositions. This may bedue to.

    Different fugacities of gases involved in

    electrode reactions (e.g., The H+(aq)/H2(g)

    electrode). Different compositions of metal

    amalgams in electrode materials.

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    Concentration Cells

    A concentration cell

    Two half cells with identical electrodes but different

    ion concentrations.

    Pt|H2 (1 atm)|H+(xM)||H+(1.0 M)|H2(1 atm)|Pt(s)

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    Measurement ofKsp

    A concentration cell for determining Ksp of AgI

    Ag+(0.100 M) Ag+(satd M)

    Ag|Ag+(satd AgI)||Ag+(0.10 M)|Ag(s)

    Ag+(0.100 M) + e- Ag(s)

    Ag(s) Ag+(satd) + e-

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    Calculating Redox Equilibrium Constants

    Example : Calculate the equilibrium constant

    for the reaction

    2Fe3+ + 3I- 2Fe2+ + I3-

    Sol: 2Fe3+ + 2e- 2Fe2+ E0 = 0.771 V

    I3- + 2e- 3I- E0 = 0.536 V

    23

    22

    /FeFe

    0

    /FeFe ]Fe[

    ]Fe[

    log2

    0592.0

    EE23

    23

    ][I

    ]I[log

    2

    0592.0EE

    3

    3

    /II0

    /II 33

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    ]I[

    ]I[log

    ]Fe[

    ]Fe[log

    0.0592

    )E-2(E

    ]I[

    ]I[log

    2

    0592.0E

    ]Fe[

    ]Fe[log

    2

    0592.0E

    EE

    3

    3

    23

    22/II

    0/FeFe

    03

    3

    /II0

    23

    22

    /FeFe0

    /II/FeFe

    --3

    23

    323

    323

    323

    3

    22

    ]I[]Fe[

    ]I[][Fe

    log

    0592.0

    )EE(2

    ]I[]Fe[

    ]I[][Felog

    /II0

    /FeFe0

    323

    3

    223

    23

    7

    eq

    /II0

    /FeFe0

    eq

    107.894.7loganti

    94.70592.0

    )536.0771.0(2

    0592.0

    )EE(2log 3

    23

    K

    K

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    Calculate the equilibrium constant for the reaction

    2MnO4-

    + 3Mn2+

    + 2H2O

    5MnO2(s) + 4H+

    Sol: 2MnO4- + 8H+ +6e- 2MnO2(s) + 4H2O E

    0 = +1.695 V

    3MnO2(s) + 12H+ + 6e- 3Mn2+ + 6H

    2O E0 = +1.23 V

    EMnO4-/MnO2= EMnO2/Mn2+

    12

    32

    82

    4 ]H[

    ]Mn[log

    6

    0592.023.1

    ]H[]MnO[

    1log

    6

    0592.0695.1

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    8322

    4

    12

    ]H[]Mn[]MnO[

    ]H[log

    0592.0

    )23.1695.1(6

    eq322

    4

    4

    log

    ]Mn[][MnO

    ]H[log1.47 K

    47

    eq 1011.47loganti K

    32

    12

    82

    4]Mn[

    ]H[log

    ]H[]MnO[

    1log

    0592.0

    )23.1695.1(6

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    Cd CdCl2 25H2O AgCl(s) Ag

    E.m.f sel pada 15C = 0,67531 V dan koefisien

    temperatur e.m.f = 0,00065 V der 1.

    Hitung harga H pada 15C dan aliran panas

    jika proses berlangsung reversibel

    G = nFE

    = (2)(96500 C)(0,67531 V)

    S =(2)(96500 C)(0,00065 V der 1)

    H = G + TS

    Qp = TS

    Example :