Electrochemistry-19.2.14.pdf

Embed Size (px)

Citation preview

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    1/27

    1

    Electrochemistry

    Electrochemistry

    Electrochemistry is a branch of chemistry that studies chemical reactions

    which take place in a solutionat the interface of an electron conductor(the

    electrode: a metal) and an ionic conductor (the electrolyte), and which

    involve electron transfer between the electrode and the electrolyte.

    It deals with the chemical reactions produced by passing electric current or

    the production of electric current through chemical reactions.

    Electrochemical Processes The chemical reactions involving electricity are called electrochemical

    reaction

    Electrochemical reactions are redox reactions where an oxidation and a

    reductionreaction go side by side and are separated in space.

    The reactions are two types

    1. Induced electrolytic reactions- these non spontaneous reactions are

    forced by the passage of electricity through the reactants

    2. spontaneous redox reaction that can produce electricity

    REDOX REACTIONS

    Oxidation-reduction or redox reactionstake place in electrochemical cells.

    The term redox comes from the two concepts of reduction and oxidation.

    Oxidationdescribes the lossof electrons:

    Zn (s) Zn2+

    (aq) + 2 e -

    Reductiondescribes the gain of electrons

    Cu2+

    (aq) + 2 e- Cu (s)

    Each of the reaction is known as half- reaction or half-cell and both

    must always go side by side

    The net reaction: Zn (s) + Cu2+

    (aq) Zn2+

    (aq) + Cu (s)

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    2/27

    2

    Electrochemical Cells

    An electrochemical cell is a device capable of either deriving electricalenergy

    from chemical reactions, or facilitating chemical reactions through the

    introduction of electrical energy.

    There are two types of electrochemical cells.

    TYPES:

    1. Electrochemical cell and Electrolytic Cells

    2.Galvanic cell and concentration cell

    3. Reversible and irreversible cell

    1. Spontaneous reactions occur in galvanic (voltaic) cells;

    2. Nonspontaneous reactions occur in electrolytic cells.

    Both types of cells contain electrodes where the oxidation and reduction

    reactions occur.

    Oxidation occurs at the electrode is termed as the anode and reductionoccurs at the electrode is called as the cathode.

    1. Galvanic or Voltaic cell: Produces energy by a spontaneous reaction which

    produces electricity as a result of electron transfer

    The cells used for the generation of electrical energy from chemical

    reactions are called galvanic or voltaic cells.

    The redox reaction in a galvanic cell is a spontaneous reaction.

    For this reason, galvanic cells are commonly used as batteries. Galvanic

    cell reactions supply energy which is used to perform work. The energy

    is harnessed by situating the oxidation and reduction reactions in separate

    containers, joined by an apparatus that allows electrons to flow.

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    3/27

    3

    Ex. A common galvanic cell is the Daniell cell, batteries, corrosion, etc

    2. Electrolytic Cells The redox reaction in an electrolytic cell is non-

    spontaneous. Electrical energy is required to induce the electrolysis reaction.

    The cells used for electrolysis are called electrolytic cells

    ex. Charging of battery, electroplating ,etc

    Electrodes & Charge

    The anode of a galvanic cell is negatively charged, since the spontaneous

    oxidation at the anode is the sourceof the cell's electrons or negative charge.

    The cathode of a galvanic cell is its positive terminal.

    The anodeof an electrolytic cell is positive (cathode is negative), since theanode attracts anions from the solution.

    In both galvanic and electrolytic cells, oxidation takes place at the anode and

    electrons flow from the anode to the cathode.

    An electrochemical cell is obtained by coupling two half cells

    1. Anode: oxidation half-cell reaction takes place

    2.

    Cathode: reduction half-cell reaction occurs

    3. Salt bridge: A salt bridge is often employed to provide ionic contact

    between two half-cells with different electrolytesto prevent the solutions

    from mixing and causing unwanted side reactions.

    Ex.: filter paper soaked in KNO3

    Functions of salt bridge:

    1. The salt bridge allows ions to move on either side and maintain the

    electrical neutrality of the electrolyte on both sides.

    2. It serves as a bridge to complete the electric circuit.

    3.

    It prevents the liquid junction potential between the two electrodes.

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    4/27

    4

    Liquid junction potential occurs when two solutions of different

    concentrations are in contact with each other. The more concentrated

    solution will have a tendency to diffuse into the comparatively less

    concentrated one. The rate of diffusion of each ion will be roughly

    proportional to its speed in an electric field. If anion diffuses more

    rapidly than the cation, it will diffuse ahead into the dilute solution

    leaving the later negatively charged and the concentrated solution

    positively charged. So an electrical double layer of positive and negative

    charges will be produced at the junction of the two solutions. So at the

    point of junction, a difference of potential will develop because of theionic transfer. This potential is called liquid junction potential or

    diffusion potential. The magnitude of the potential depends on the

    relative speeds of the ions.

    4.

    External circuit: These two half-cells joined together by wire through

    which electrons flow.

    5. Electrolyte: Internal pathway that allows ions to migrate between them so

    as to preserve electro neutrality.

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    5/27

    5

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    6/27

    6

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    7/27

    7

    Difference in electrolytic cell and galvanic cell

    Electrolytic cell Galvanic cell

    1. Conversion of electrical energy

    into chemical energy

    1. Chemical energy into electrical

    energy

    2. The anode carries positive

    charge vice versa.

    2. The anode carries negative

    charge Vice versa.

    3. Electrons are supplied to the cell

    from the external power supply.

    3. Electrons are drawn from the

    cell.

    4. Not a spontaneous reaction. Eo

    cellis -ve, then the process is

    nonspontaneous. E.g electroplating

    4. Spontaneous reaction. Eo

    cell is+ve, then the process is

    spontaneous. eg. Corrosion

    5. The extent of chemical reaction

    occurring at the electrode depends

    on the quantity of electricity passed

    & is governed by Faradays law of

    electrolysis.

    5. The e.m.f of the cell depends

    on the concentration of the

    electrolyte and chemical

    nature of the electrode (Nernst

    Equation)

    6. The amount of electricity passed

    during electrolysis is measured

    by Coulometer.

    6. The e.m.f produced in the cell

    is measured by potentiometer.

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    8/27

    8

    ELECTRODE POTENTIAL (E)

    When a metal (M) is placed in the solution of its own ion it may act as an

    anode or cathode.

    As an anode: Positive metal ions passing into solution (oxidation) leaving

    behind e-s on the electode.

    The anode attains negative charge due to accumulation of e-s which attracts

    positively charged free ions (cations) from the solution. Due to the

    attraction the positive ions remain close to the metal.

    M Mn++ne-

    As a cathode: Positive ions depositing on the metal electrode (reduction)

    and it attracts negatively charged ions.

    Mn+

    +ne-----M

    HELMHOLTZ ELECTRICAL DOUBLE LAYER

    Thus a sort of electrical double layer (positive or negative ions) is formed

    all around the metal. This layer is called Helmholtz electrical double layer.

    This layer prevents further passing of or deposition of metal ions on the

    metal. Consequently a difference in potential (Galvanic potential) set up

    between the metal and its solution.

    At equilibrium, the potential difference is constant, which is known as

    Electrode potential of a metal.EMF: The diff. of potential between the two electrodes in a voltaic cell which

    causes flow of current/electrons is called the electromotive force

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    9/27

    9

    Electrode potential of the metal shows its tendency to under go loss or gain of

    electrons

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    10/27

    10

    Electrode potential (E):

    The measure of tendency of an electrode to lose or gain electrons when it is

    contact with a solution of its own ion is called electrode potential.

    Standard electrode potential (E

    o

    ):The measure of tendency of an electrode to lose or gain electrons, when it is

    contact with a solution of its own salt of 1 molar concentration at 25oC is known

    as standard electrode potential.

    Oxidation electrode potential (Eoxid):

    The measure of tendency of an electrode to lose electrons when it is contact with a

    solution of its own ion is called oxidation electrode potential.

    Reduction electrode potential (E red):The measure of tendency of an electrode to

    gain electrons when it is contact with a solution of its own ion is called electrode

    reduction potential.

    Factors affecting electrode potential

    1. Nature of the electrode metal

    2. Temperature

    3. Concentration of metal ions in solution

    Measurement of Single electrode potential

    Impossible to know the absolute value of single electrode potential.

    To measure the ele. pot of one electrodes which is connected to reference

    electrode to form a complete cell

    The electrode whose electrode pot. is either exactly known or arbitrarily

    fixed is called reference electrode

    The pot. of one electrode is fixed arbitrarily then another electrode pot. can

    be measured

    EMF of the complete cell can be directly read from the potentiometer.

    Ecell= Ecathode- E

    anode

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    11/27

    11

    Potential of the single electrode can be calculated by

    Nernst Equation:

    The final and the most fundamental form the Nernst equation is written as:E = E

    o RT/nF ln ap/ar

    where R is the universal gas constant, T is the absolute temperature in degrees

    Kelvin, z is the charge number of the electrode reaction (which is the number of

    moles of electrons involved in the reaction as written), and F is the Faraday

    constant (96,500 C mole-1

    ). The notation aprepresents the chemical activitiesof

    all of the species which appear on the product side of the electrode reaction and

    the notation arrepresents the chemical activities of all of the species which appear

    on the reactant side of the electrode reaction.

    Derivation

    Nernst equation was derived from Vant Hoff reaction isotherm for the

    redox reaction, M2+

    + 2e---M

    Vant Hoff Reaction Isotherm

    G = - RT ln K +RT ln Q

    Vant Hoff reaction isotherm is an equation for the change in free energy

    during the chemical reaction.

    it relates the G (free energy change) and K (equilibrium constant) for

    the redox reaction as

    G = - RT ln K +RT ln Q ---------------(1)

    Q (Reaction Quotient) = aC. aD/ aA . aB = [P] /[R]

    aC. aD = chemical activity of products

    aA . aB = chemical activity of reactants

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    12/27

    12

    The activities of gases are usually taken as their partial pressures and

    the activities of solutes such as ions are usually taken as their molar

    concentrations.

    G = - RT ln K +RT ln [P] /[R] ---------------(1)

    At standard conditions of T and P, at equilibrium [P] = [R]

    Go = - RT ln K

    So equation 1 becomes

    G = Go +RT ln [P] /[R] ---------------------(2)

    Electrical energy (nFE) arises from the expense of free energy of the system

    (- G).

    Let n faraday charge be taken out of a electrode or cell of emf E; then

    work done by the cell will be calculated as:

    Work = Charge x Potential = nFE

    Work done by the cell is equal to decrease in free energy.

    -G = nFE

    -Go= nFE

    o

    G = Go+ RT ln [product] / [reactant]

    -nFE = -nFEO + 2.303 RT log [product] / [reactant]

    Ecell= Eocell

    - 2.303 RT / nF log [P]/[R]

    R = 8.314 J/K/mole

    At 25oC, T =298 K

    F= 96500 Coulombs

    The oxidation potential of an electrode for the reaction

    M----Mn+

    + ne-

    Eoxid = Eooxid- 0.0592/n log [Mn+] / [M] ----- half cell

    [M] = 1

    Eoxid = Eo

    oxid- 0.0592/n log [Mn+]

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    13/27

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    14/27

    14

    ELECTROCTREMICAL SERIES (e.m.f series): The arrangement of metals in the

    increasing order of their std. reduction electrode potential

    Half-Reaction E0

    Li++ e- Li

    Na+ + e- Na

    Mg2+ + e- Mg

    Al3+

    + 3e- Al

    Ti2+

    + 2e- Ti

    Mn2+ +e- Mn

    Zn2+

    + 2e- ZnFe

    2++ 2e- Fe

    Co2+

    + 2e- Co

    Ni2+

    + 2e- Ni

    Fe3+

    + 3e- Fe

    2H++ 2e- H2 (g)

    Sn4+

    + 2e- Sn2+

    Cu2++ 2e- Cu

    Fe3+

    + e- Fe2+

    Ag++ e- Ag

    Pt4+

    + e- Pt

    Mn4+

    + 2e- Mn

    2+

    Cr6+

    + 3e- Cr

    3+

    Au+ + e- Au

    Mn7++ 5e- Mn2+

    Cr4+

    + 1e- Cr3+

    Au3+

    + 3e- Au

    F2+ 2e- 2F-

    -3.05

    -2.70

    -2.40

    -1.66

    -1.63

    -1.18

    -0.76-0.44

    -0.28

    -0.25

    -0.04

    0.00

    +.15

    +0.34

    +0.77

    +0.80

    +0.86

    +1.23

    +1.33

    +1.50

    +1.51

    +1.60

    +1.69

    +2.87

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    15/27

    15

    Application of electrochemical series

    1.

    Relative ease of oxidation or reduction can be predicted

    The metals on the top with ve reduction pot. Can more easily undergooxidation & act as anode.

    Ex. Zn = -0.76 V favours oxidation reaction

    While the metals at the bottom with +ve reduction. Pot. has great

    tendency to undergo reduction & act as cathode

    Ex. Cu = +0.34 V favours reduction reaction.

    2. Cell representation can be predicted

    A galvanic cell formed by two half cells with 2 diff. metals.

    From EMF series, the metal which is undergoing oxidation or reduction can

    be predicted

    The electrode undergoes oxidation (anode) is written at left

    The electrode undergoes reduction (cathode) is written at right

    Ex. For Danial cell with Zn and Cu electrodes

    The cell representation

    Zn / Zn2+

    // Cu2+

    / Cu

    The cell reaction can also be written

    Anodic reaction:

    Zn (s) Zn2+

    (aq) + 2 e

    Cathodic reaction:

    Cu2+

    (aq) + 2 e- Cu (s)

    The net reaction:

    Zn (s) + Cu2+

    (aq) Zn2+

    (aq) + Cu (s)

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    16/27

    16

    3. Calculation of Std emf (Eocell) of the cell

    Oxidn Half cell|| Redn half cell

    Eocell= E

    oright - E

    oleft

    Or E

    ocell= E

    ocathode (red.) E

    oanode (red.)

    Or Eocell= E

    oref.) E

    ounknown

    Ex.

    Std e.m.f (Eocell) of (Danial cell) Zn-Cu cell

    Eocell= EoCu EoZn= +0.34 (-0.76) V = +1.1 V

    4. Calculation of std. free energy (Go)

    Go = - nFEo

    and equilibrium constant (Keqm)

    Go= - RT ln Keqm

    - nFEo= - RT ln Keqm

    Eo= __RT_ 2.303 log Keqm

    nF

    log Keqm= nEo/ 0.0592 at 25

    oC

    5. The spontaneity or feasibility of the cell reaction can be predicted

    Spontaneity of the redox reaction can be predicted from the e.m.f value of

    complete cell reaction.

    If the value of E cell is + ve,

    (std. free energy (Go) is negative, since G

    o = - nFE

    o) the reaction is

    feasible.

    If E cell is -ve, Go

    is positive. Then the reaction is not feasible.

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    17/27

    17

    6. Hydrogen liberating tendency of the metal can be predicted

    The metal with low reduction potential will displace H2 from an acid

    solution.

    Zn+ H2SO4 ZnSO4+ H2The metal with +ve potential will not displace H2 from an acid solution

    Ag + H2SO4 no reactn

    7. Replacing tendency of a metal (M) by another M:

    The metals with low reduction potential undergo oxidation and pass into the

    solution and the M with high red. pot. Undergo reduction and get deposits on

    electrode.

    Zn, Ni undergo dissolution in CuSO4 solution and will displace Cu from solution.

    8. Corrosion tendency of M:

    The metals higher in the series are anodic or more active and they are more prone

    to corrosion.

    The metals lower in the series are noble metals and they are less prone to

    corrosion.

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    18/27

    18

    Reversible and irreversible cells

    Daniell cell has the emf value 1.09 volt. If an opposing emf exactly equal to

    1.09 volt is applied to the cell, the cell reaction stops

    Zn + Cu2+

    --> Cu + Zn2+

    but if it is increased infinitesimally beyond 1.09 volt, the cell reaction is

    reversed.

    Cu + Zn2+

    --> Zn + Cu2+

    Such a cell is termed a reversible cell.

    Thus, the following are the main characteristics of reversible cell:

    (i) The chemical reaction of the cell stops when an exactly equal opposing

    emf is applied.

    (ii) The chemical reaction of the cell is reversed and the current flows in

    opposite direction when the opposing emf is slightly greater than that of the

    cell.

    (iii) The cell produces a small emf if the opposing emf is infinity smaller

    than that of the cell

    Any other cell which does not obey the above two conditions is termed as

    irreversible. A cell consisting of zinc and copper electrodes dipped into thesolution of sulphuric acid is irreversible. Similarly, the cell

    Zn|H2S04(aq)|Ag

    is also irreversible because when the external emf is greater than the emf of

    the cell, the cell reaction,

    Zn + 2H+--> Zn

    2++ H2

    is not reversed but the cell reaction becomes

    2Ag + 2H+--> 2Ag

    ++ H2

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    19/27

    19

    Concentration cell

    A concentration cell is made up of two half cells having identical electrodes,

    identical electrolyte, except that the concentration of the reactive ions at the

    two electrodes are different.

    Theelectrical energy in a concentration cell arises from the transfer of

    electrons from the electrode in the lower concentration side to the electrode

    in higher concentration side.

    The two half - cells may be joined by a salt bridge.

    When a metal (M) electrode is dipped in a solution containing its own ions

    [Mn+], then the potential (E) is developed at the electrode at the electrode,

    the value of which varies with conc. Of the ions in accordance with the

    Nernsts equation:

    E =Eo - 2.303 RT / nF log 1/ [Mn+

    ]

    E =Eo + 2.303 RT / nF log C

    Let us consider a general conc. cell represented as:M/M

    n+(C1M) II M

    n+(C2M) I M

    +

    Where C1 and C2 are the concentrations of active metals ions (Mn+

    ) in

    contact with two electrodes respectively and C2> C1.

    THE CELL REACTIONS ARE:

    At left electrode (anode): M --Mn+

    (C1.) + ne-

    At right electrode (cathode): Mn+

    (C2) + ne--M

    THE NET CELL REACTION: Mn+

    (C2) ---Mn+

    (C1.)

    E.M.Fcell. of cell = Eright - Eleft

    = [Eo+ 2.303RT/nF log C2] [Eo+ 2.303RT/nF log C1]

    = 2.303RT/nF log C2/C1

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    20/27

    20

    Ecell = 0.0592/n log C2/C1

    The e.m.f so developed is due to the mere transference of metal ions from

    the solution of higher conc. (C2) to lower conc. (C1.).

    Applications:

    i. Determination of solubility of sparingly soluble salts:

    ii.

    Determination of the valency of an ion.

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    21/27

    21

    REFERENCE ELECTRODS:

    The electrode with exactly known standard potential or fixed as constants or zero,

    with which we can compare the potentials of other electrodes

    The Characteristics of reference electrodes1. The electrode potential should be fixed as constants or zero.

    2. The temperature co-efficient should be very low.

    3. It should be a reversible electrode. It can function both as an anode and a

    cathode

    4. It should be easy to handle and use in laboratory.

    1. Primary reference electrode

    Standard Hydrogen Electrode:

    Construction

    This is a gas electrode.

    It consists of a thin rectangular platinum foil which is coated with fresh platinum

    black to increase the adsorption capacity of H2gas.

    The inner tube is enclosed in an outer jacket having an inlet tube for sending in H 2

    gas and has a perforated wider base for the escape of excess of H2. This unit is

    dipped in 1 M HCl taken in a beaker such that the metal foil remains in the

    solution.

    In the above system, when the H2gas at a pressure of 1atm is bubbled through 1M

    HCl, the electrode (constructed) or formed is called STANDARD HYDROGEN

    ELECTRODE (SHE) or Normal H2electrode (NHE).

    Working

    This is represented as Pt, H2(1 atm) / H

    +

    (IM) When pure and dry H2gas ispassed through the inlet tube, a part of the gas gets adsorbed and the excess

    bubbles out through the perforations.

    Depends on the other half cell connected to SHE, SHE can under go either

    oxidation or reduction.

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    22/27

    22

    The electrode is represented as:

    Pt, H2(1 atm); H+(1M)

    The electrod potential of SHE is fixed as zero.The either of the reaction takeplace

    H+(aq) + e

    --- H2(g)

    H2(g) --H+(aq) + e-

    Act both as anode and cathode based on another M connected, it is a

    reversible electrode.

    When M electrode with lower reduction potential than H2, is coupled with

    SHE, M undergoes oxidation and act as anode. Ex. Zn and SHE acts as

    cathode

    If the M electrode possesses higher reduction potential than H2, is coupled

    with SHE, undergoes reduction and act as cathode. Ex. Cu

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    23/27

    23

    Determination of single electrode potential of a metal

    1.

    If the single electrode Zn in ZnSO4 is connected to SHE then the emf of the

    complete cell determined by means of a potentiometer. Since emf of SHE is

    zero, the observed e.m.f gives directly the e.m.f of half-cell containing thesolution under test.

    Zn has the tendency to under go oxidation, act as anode.

    Pot. of the Zn single electrode can be obtained by

    E cell= Ec.-Ea

    Ecell= Ecathode (red.) Eanode (red.)

    Ecell= ESHE Eunknown(Zn2+

    , Zn)

    ESHE= 0

    Eunknown(Zn2+

    , Zn)= 0 Ecell

    Eunknown(Zn2+

    , Zn)= Ecell

    2. If the single electrode Cu in CuSO4 is connected to SHE then the emf of the

    complete cell determined by means of a potentiometer. Since emf of SHE is zero,

    the observed e.m.f gives directly the e.m.f of half-cell containing the solution

    under test.

    Cu has the tendency to undergo reduction & act as cathode

    Pot. of the Cu single electrode

    Ecell= Eunknown(Cu2+

    , Cu) - ESHE

    ESHE= 0

    Ecell= Eunknown(Cu2+

    , Cu)

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    24/27

    24

    Zn possess lower red. Pot. than H2. Zn undergoes oxidation and act as anode.

    H2 undergoes reduction.

    H+(aq) + e

    --- H2(g) --- act as cathode

    Cu possess higher red. Pot. than H2. Cu undergoes reduction and

    act as cathode. H2undergoes oxidation,

    H2(g) --H+(aq) + e

    - --- act as anode

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    25/27

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    26/27

    26

    The electrode potential for decinormal 0.1 N KCl is +0.3335 V for normal

    KCl solution +0.2810 V and for saturated calomel electrode (SCE) is

    +0.2422 V

    The electrode is represented as: Hg, Hg2Cl2(s), KCl (sat.solution) / Pt

    The electrode potential of SCE is arbitrarily fixed as + 0.2422 V.

    The electrode is based on the redox reaction

    Hg22+

    (s)+ 2e

    -

  • 8/10/2019 Electrochemistry-19.2.14.pdf

    27/27

    Eunknown (Zn2+

    , Zn) = +0.2422 Ecell

    2. When Cu electrode is connected to SCE

    Cu undergo reduction and act as cathode and SCE act as anodeAt SCE oxidation takes place

    Hg Hg++ e

    -

    2 Hg+

    + 2Cl2 -Hg2Cl2

    The single electrode pot. Can be calculated

    Ecell = Eunknown(Cu2+

    , Cu) - ESCE

    ESCE = +0.2422 V

    Eounknown(Cu

    2+, Cu) = Ecell+ 0.2422