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Ch 12 Electrochemistry
- Refer back to chapter 3.7 for oxidation state/number;
- Recall: oxidation as loss of electrons; reduction as gain of electrons; oxidation - reduction (or, redox) reactions; balancing redox equations; redox titrations (introduced in chapter 6.4, pp. 163-170)
12.1 Electrochemical Cells
- energy of a spontaneous redox reaction can be used to do electrical work in a voltaic (= galvanic) cell by forcing electron transfer through an external path
- eg., first with direct transfer, then indirect/external (alternative to Zn/Cu example in Introduction):
- direct reaction: Cu strip in a beaker of Ag+ (aq.)
- blue colour of Cu2+gradually builds up
- Cu begins to dissolve
- Ag begins to deposit (black) on Cu strip
- reaction via external path: Voltaic Cell
- 2 metal strips (= electrodes) in separate compartments or beakers
- Cu2+ and Ag+ solutions as nitrates, one in each
- 2 means of connection of solution
- salt bridge, Fig. 12.1 and 12.2
- porous glass disk
- two electrodes:
anode (oxidation): Cu(s) to Cu2+(aq)
cathode (reduction): Ag+(aq) to Ag(s)
- electron flow is from anode (removed from Cu) to cathode (supplied to Ag+)
- this is general
- need for solution connection: maintain charge neutrality (eg. Na+ and NO3- move through bridge)
- special aspects of this example, not necessarily in all voltaic cells:
- electrodes can be simple conductors, not chemical participants (eg. Pt foil)
- need not have deposition of solid at either electrode
Galvanic & Electrolytic Cells
- external path as above, Example: Cd(s) + Ni2+(aq) Ni(s) + Cd2+(aq)
- at anode Cd is oxidized, Cd2+ goes into solution, balanced by NO3- coming from salt bridge
- at cathode, Ni2+ is reduced, comes out of solution as Ni, balanced by NO3- going into bridge
- negative charge as NO3- flows through bridge from cathode (Ni) to anode (Cd)
- negative charge as e- flows through wire from anode (Cd) to cathode (Ni)
- conversely, Na+ moves through bridge to Ni side (Ni2+ consumed) from Cd side (Cd2+ produced)
- Galvanic Cell: spontaneous reaction; current flows between electrodes; potential difference (see below) measured as a positive voltage; electrical energy produced; examples above
- Electrolytic Cell: non-spontaneous reaction is forced by applying a potential between electrodes; electrical energy consumed; example, reverse of Cu/Ag reaction above:
12.2 Free Energy & Cell Voltage
- in Galvanic cells above, spontaneous direction of e- flow from Zn to Cu, from Cu to Ag and from Cd to Ni, ie.- to lower (potential) energy, from anode to cathode
- potential difference measured in volts, V:
- in Zn/Cu eg., , potential is 1.10 V
= driving force or electron pressure
= electromotive force, emf
= cell potential, Ecell
Standard Cell Voltage
- define: Eocell (or,Eo), standard emf or standard cell potential with 1 M in all solution components (1 bar for gases) at 25oC; cell potentials positive for the spontaneous (product-favoured) direction
- note: reverse the reaction, change the sign of Eo
Eo and Go (Emf & Free-Energy Change)
- both are measures of a reaction’s tendency to proceed to products
n = number of moles of electrons transferred
F = the Faraday, molar equivalent of e- charge
= 96,500 C/(mol e-)
= 96,500 J/(V.mol e-)
- Example 12.4: for Zn/Cu2+ reaction, Eo = +1.10 V, calculate Go = - 212 kJ
Calculating the Cell Potential, Eo
Half-Cell Potentials (Voltages)
- cell potential comprised of two half-cell potentials, standard oxidation potential (for one couple) and standard reduction potential (for other couple)
- scaled according to a reference half-cell, standard hydrogen electrode, at 0 V (Fig. 12.3):
- eg. voltaic cell with Zn anode and standard hydrogen electrode as cathode:
- this determines the standard oxidation half-cell potential for the Zn/Zn2+ couple
- opposite reaction, reduction of Zn2+ to Zn has a standard reduction potential of same magnitude, opposite sign
- similarly for Cu/Cu2+, but here Cu is the cathode and the hydrogen electrode is the anode
- cell potential = + 0.34V = standard oxidation potential for Cu/Cu2+
- return to Zn + Cu2+ reaction:
Eocell = Eoox + Eored
= 0.76 + 0.34 = 1.10 V (Fig. 12.4)
- can also determine half-reaction (half-cell) potentials by measurement against a known couple other than the standard hydrogen electrode
- Example, Ni/Ni2+ is done vs. Zn/Zn2+
- do Example 12.5
- for simplicity of tabulation, all standard half-cell potentials are listed as reduction potentials, eg. Appendix E
- note: half-cell potential an intensive property, hence not multiplied by stoichiometry numbers
Using Standard Electrode Potentials
Oxidizing and Reducing Agents
- trends in Appendix E
- the more positive an E, the greater the tendency for the half-reaction to occur as written
- F2 most easily reduced, strongest oxidizing agent
- Li+poorest oxidizing agent
- Li strongest reducing agent
- reaction between any substance on the left column and any one lower on the right column is spontaneous (see below)
Predicting Eo & Spontaneity of Redox Reactions
- positive emf indicates spontaneous process
- predict from half-cell potentials:
- half-cells:
- overall: E = 1.24 V spontaneous
- note: complication if adding or subtracting half-cell reactions to get a new half-cell reaction; then have to account for stoichiometry
(aside: Electrical Work)
- voltaic cell: wmax = -nFE (spontaneous)
- electrolytic cell: wmin = -nFE(non-spontaneous)
12.3 Concentration Effects & the Nernst Equation
- from: (NB: implicit in ch. 9.7)
- used to calculate emf under non-standard conditions, Example 12.7
- or, to calculate a concentration, if cell emf measured. Example 12.9
- or, to calculate an equilibrium constant, Example 12.8
- application: the pH meter (read for interest)
- read 12.4: Batteries & Fuel Cells for interest
12.5 Corrosion & Its Prevention
- nearly all metals undergo thermodynamically favoured oxidation in air
- "skin" of oxide frequently protects against further oxidation
- cathodic and anodic areas on the metal, Fig. 12.14
- for iron, if limited O2 (slow) :
- for iron, if O2 and water available (fast) :
- and Fe2+ oxidized further, near cathode:
- can protect iron from corrosion:
- anodic inhibition: coating with tin; good until surface broken; more recently, promote Fe2O3 formation as “skin”
- cathodic inhibition: coating with Zn; Zn is sacrificial anode in preference to Fe; "cathodic protection", i.e.- force the metal to become a cathode
12.7 Electrolysis
- reverse of foregoing: non-spontaneous redox reactions "driven" by electrical energy
- eg. molten NaCl
- note sign convention opposite to voltaic cell
- used in some metals production
- electrolysis of aqueous solutions
- eg. brine:
- at cathode, H2 production preferred:
- while at anode, little thermodynamic preference:
(if use NaI, where I- I2, Eo = -0.535 V; more clearcut)
- and, due to "overvoltage", Cl- oxidation preferred
- net:
- all products are industrial commodities
- minimum emf required: 0.83 + 1.36 = 2.19 V
Electrolysis with Active Electrodes
- electroplating: make anode of metal to be deposited onto an object; make object the cathode
- eg. nickel
(in preference to water electrolysis)
Suggested Problems
1; 11 – 21; 27 – 33; 51, 53; all odd
59-110 (’02), ch 12, Electrochemistry