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5.2.3 Redox and electrode potentials

Definitions

Term Definition
Oxidising agent A reagent that accepts / takes in electrons / oxidises another species / is reduced
Reducing agent A reagent that donates / gives out electrons / reduces another species / is oxidised
Standard electrode potential \(E^\ominus\) The emf of a half-cell compared to a hydrogen electrode under standard conditions
Standard half cell The pure metal in contact with a 1 molar solution of its ions at a temperature of 298 K

Balancing chemical equations

Balancing equations with missing oxygen

  • Acidic condition
    • Add 1 \(H_2O\) on the side with less oxygen for every missing oxygen
    • Add 2 \(H^+\) on the other side for every \(H_2O\) added
  • Alkaline condition
    • Add 2 \(OH^-\) on the side with less oxygen for every missing oxygen
    • Add 1 \(H_2O\) on the other side for every pair of \(OH^-\) added
  • Balance changes in oxidation numbers with electrons

Balancing equations using oxidation numbers

  • Sum of oxidation numbers on LHS = sum of oxidation numbers on RHS
  • Look at the change in oxidation number of each element
  • Multiply chemicals by different amounts so total change = 0

Redox reactions and titrations

Carrying out Manganate(VII) titrations

  • Manganate reduced from \(Mn^{7+}\) to \(Mn^{2+}\)
  • \(KMnO_4\) is used as the oxidation agent and added to burette
  • The reducing agent is added to the conical flask
  • Excess dilute \(H_2SO_4\) added to provide \(H^+\) for reduction of \(MnO_4^-\)
  • Manganate in the burette is deep purple \(\rightarrow\) reacts and become colourless when added to the flask
  • Once all reducing agent has reacted there will be nothing to decolourise the manganate
  • End point = when permanent pink colour appears in flask
  • \(KMnO_4\) is self indicating so no indicator needed

Iodine / thiosulfate redox titrations

  • \(Na_2S_2O_3\) (sodium thiosulfate) reduces iodine to iodide ions and forms \(Na_2S_4O_6\) (sodium tetrathionate)
    • \(2S_2O_3^{2-}(aq) + I_2(aq) \rightarrow 2I^-(aq) + S_4O_6^{2-}(aq)\)
  • Standard solution of \(Na_2S_2O_3\) added to burette
  • An excess of iodide is added to conical flask as iodine is almost insoluble in water but very soluble in iodide solution
  • Solution of oxidising agent being analysed is added to conical flask with excess \(KI\)
  • Oxidising agent reacts with iodide ions to produce iodine \(\rightarrow\) turn solution yellow-brown
  • Iodine reduced back to \(I^-\) ions \(\rightarrow\) brown colour fades gradually
  • Indicator is starch: added towards the end when most of the iodine has reacted and gives a blue-black colour
  • End point: blue black disappears when iodine is used up and reaction mixture becomes colourless

Electrode potentials

Interpreting electrode potential value

  • More positive value: greater tendency to gain electrons + undergo reduction
  • More negative value: greater tendency to lose electrons + undergo oxidation

Half cell

  • Contains the species present in a redox half equation (forward reaction shows reduction)
  • Consists of a piece of pure metal in contact with a solution of its ions
  • Electron can be transferred between the metal and its ions

Factors affecting electrode potential of a half cell

  • The metal used
  • Concentration of the solution of ions
  • Temperature

Hydrogen half cell

  • Half cell containing \(H_2(g)\) and solution of \(H^+\)
  • Inert platinum electrode to allow electrons in and out of the half cell
  • Given standard electrode potential value of 0

Measuring standard electrode potentials

  • Standard conditions must be used
    • Metal ion solutions must have a concentration of \(1 \ mol \cdot dm^{-3}\)
    • Gas half cells must be at 100kPa pressure + use inert electrode
    • Temperature must be 298K
  • Half cell measured connected by wire with a standard hydrogen half cell
  • Two solutions connected with a salt bridge to complete the electrical circuit
    • Typically contains a concentrated solution of an electrolyte that does not react with either solution (e.g. \(KNO_3\))
  • Connect the half-cells to voltmeter (high resistance)
  • Draw a labelled diagram of Standard Hydrogen Elect...

Predicting feasibility of reactions with standard cell potentials

  • Strongest oxidising agent = most positive \(E^\ominus\) + most likely to be reduced (will be on right of equation if written as standard form)
  • Strongest reducing agent = most negative \(E^\ominus\) + most likely to be oxidised
  • (\(X\) system is more negative than \(Y\) system \(\rightarrow\) \(X\) shifts left and \(Y\) shifts right / \(X\) reduces \(Y\))

Limitations of predictions using \(E^\ominus\) values

  • Reactions can have very high activation energies \(\rightarrow\) very slow reaction rates
  • Actual conditions may not be standard
    • Value of electrode potential will be different from standard value if concentration isn’t \(1 \ mol \cdot dm^{-3}\)
      • Increasing ion concentration: equilibrium shifts right, removes electrons, \(E^\ominus\) less negative
      • Reducing ion concentration: equilibrium shifts left, increases electrons in system, \(E^\ominus\) more negative
    • Standard potentials are for aqueous equilibria: many reactions aren’t aqueous
  • There may be an alternative reaction that is more favourable

Storage and fuel cells

Storage cells

  • 3 main types
  • Primary (non-rechargeable) cells
    • Electrical energy produced by an irreversible reaction
    • The reactants will be used up eventually and the reaction becomes too slow to create enough voltage
    • Used for low current, long-storage devices e.g. clocks or smoke detectors
  • Secondary (rechargeable) cells
    • Electrical energy produced by a reversible reaction
    • The cell can be recharged by reversing cell polarities and forcing electrical energy through the cell
    • Cell reaction is reversed during recharging

Lithium-ion/lithium-ion polymer cells

  • Can be regular shape or a flexible solid polymer
  • Charging / discharging: \(Li^+\) ions move between electrodes, electrons move through connecting wires
  • Negative electrode: graphite coated with lithium metal, \(Li \rightarrow Li^+ + e^-\)
  • Positive electrode: metal oxide (typically \(CoO_2\)), \(Li^+ + CoO_2 + e^- \rightarrow LiCoO_2\)

Lithium-ion/lithium-ion polymer cells limitations

  • Can become unstable at high temperatures
  • Can ignite devices
  • Hard to recycle since lithium is very reactive

Fuel cells

  • Use energy from reaction of fuel with oxygen to create voltage
  • A continuous supply of fuel and an oxidising agent (usually oxygen) to the cell
  • Fuel supplied to one electrode; oxidising agent to the other electrode
  • Can operate continuously if fuel and oxygen are continuously supplied - don’t have to be recharged

Hydrogen-oxygen fuel cells

  • Produce only water as combustion product, no \(CO_2\) produced
  • Fuel cells using hydrogen rich fuels e.g. methanol are being developed
    • Will produce carbon dioxide alongside water
    • May produce more pollution but liquid fuel is much easier to store than gaseous ones
  • Hydrogen supplied to anode
    • Oxidation in anode / negative electrode = oxidation
  • Oxygen supplied to cathode
    • Reduction in cathode / positive electrode = reduction

Hydrogen fuel cell equations

  • Alkaline conditions
    • Negative electrode / anode: \(2H_2(g) + 4OH^-(aq) \rightarrow 4H_2O(l) + 4e^-\)
    • Positive electrode / cathode: \(O_2(g) + 2H_2O(l) + 4e^- \rightarrow 4OH^-(aq)\)
  • Acidic conditions
    • Negative electrode / anode: \(2H_2(g) \rightarrow 4H^+(aq) + 4e^-\)
    • Positive electrode / cathode: \(O_2(g) + 4H^+(aq) + 4e^- \rightarrow 2H_2O(l)\)