Oxidation & Reduction Electrochemistry BLB 11th Chapters 4, 20 Chapter Summary Oxidation and Reduction (redox) – introduced in chapter 4 Oxidation Numbers Electron-transfer Balancing redox reaction Electrochemical cells Corrosion Electrolysis 21.1, 4.4 Oxidation-Reduction Reactions Oxidation Loss of electrons Increase in oxidation number Gain of oxygen or loss of hydrogen Reduction Gain of electrons Decrease in oxidation number Loss of oxygen or gain of hydrogen Zn(s) + Cu2+(aq) → Zn2+(aq) + Cu(s) Zn(s) + Cu2+(aq) → Zn2+(aq) + Cu(s) Oxidizing agent or oxidant – reactant that contains the element being reduced; is itself reduced Reducing agent or reductant – reactant that contains the element being oxidized; is itself oxidized Oxidation Numbers (p. 137) Assign according to the following order: Atoms zero (since neutral) Ions equal to charge of the ion Nonmetals 1. 2. 3. 4. O H F X −2 +1 (when bonded to other nonmetals) −1 (when bonded to metals) −1 −1 except when combined with oxygen Sum of the oxidation numbers equals zero or the charge of the polyatomic ion. Oxidation numbers practice 1. O2 6. CH2O 2. CH4 7. Cu2+ 3. NO3¯ 8. OCl¯ 4. CH3OH 5. Cr2O72- Redox Reactions Combustion, corrosion, metal production, bleaching, digestion, electrolysis Metal oxidation Activity Series (Table 4.5, p. 141) Some metals are more easily oxidized and form compounds than other metals. Displacement reaction – metal or metal ion is replaced through oxidation A + BX → AX + B 20.2 Balancing Redox Reactions Goal: Balance both the atoms and the electrons Examples: Al(s) + Zn2+(aq) → Al3+(aq) + Zn(s) MnO4¯(aq) + Cl¯(aq) → Mn2+(aq) + Cl2(g) The Rules (p. 847) In acidic solution: 1. Divide into half-reactions. 2. Balance all elements but H and O. 3. Balance O with H2O. 4. Balance H with H+. 5. Balance charge with electrons (e-). 6. Cancel out electrons by integer multiplication. 7. Add half reactions & cancel out. 8. Check balance of elements and charge. MnO4¯(aq) + Cl¯(aq) → Mn2+(aq) + Cl2(g) CH3OH(aq) + Cr2O72-(aq) → CH2O(aq) + Cr3+(g) The Rules (p. 849-850) In basic solution: Proceed as for acidic solution through step 7. 8. Add OH¯ to neutralize the H+. (H+ + OH¯ → H2O) 9. Cancel out H2O. 10. Check balance of elements and charge. Cr(s) + CrO4¯(aq) → Cr(OH)3(aq) 20.3 Voltaic Cells A spontaneous redox reaction can perform electrical work. The half-reactions must be placed in separate containers, but connected externally. This creates a potential for electrons to flow. Zn(s) + Cu2+(aq) → Zn2+(aq) + Cu(s) Line notation: Zn(s)|Zn2+(aq)||Cu2+(aq)|Cu(s) Movement of Electrons e¯ Zn(s) → Zn2+(aq) + 2 e¯ Cu2+(aq) + 2 e¯ → Cu(s) Net reaction: Zn(s) + Cu2+(aq) → Zn2+(aq) + Cu(s) 20.4 Cell EMF Under Standard Conditions EMF – electromotive force – the potential energy difference between the two electrodes of a voltaic cell; Ecell; measured in volts E°cell – standard cell potential (or standard emf) For the Zn/Cu cell, E°cell = 1.10 V electrical work = Coulombs x volts J=CxV J V C Standard Reduction (Half-cell) Potentials E° - potential of each half-cell E°cell = E°cell(cathode) - E°cell(anode) For a product-favored reaction: ΔG° <0 E°cell > 0 Measured against standard hydrogen electrode (SHE); assigned E° = 0 V. p. 857, more in Appendix E Problem Voltaic cell with: Al(s) in Al(NO3)3(aq) on one side and a SHE on the other. Problem Voltaic cell with: Pb(s) in Pb(NO3)2(aq) on one side and a Pt(s) electrode in NaCl(aq) with Cl2 bubbled around the electrode on the other. 20.5 Free Energy and Redox Reactions n = # moles of e¯ transferred ΔG° = wmax = −nFE° F = 96,485 C/mol (Faraday constant) wmax = max. work ΔG° < 0 E°cell > 0 ΔG° for previous problems 20.6 Cell EMF Under Nonstandard Conditions Concentrations change as a cell runs. When E = 0, the cell is dead and reaches equilibrium. Nernst equation allows us to calculate E under nonstandard conditions: J R 8 . 3145 RT mol K E E ln Q C F 96,485 mol nF @ 298 K 0.0257 E E ln Q or n 0.0592 E E log Q n Concentration Cells A cell potential can be created by using same half- cell materials, but in different concentrations. Problem 66 Problem 66 Cell EMF and Equilibrium When E = 0, no net change in flow of electrons and cell reaches equilibrium. 0.0257 E ln K n and nE ln K 0.0257 or 0.0592 E log K n nE or log K 0.0592 K of previous problems