11/24/2014 Chapter Outline 17.1 17.2 17.3 17.4 17.5 17.6 17.7 17.8 17.9 Redox Chemistry Revisited Electrochemical Cells Standard Potentials Chemical Energy and Electrical Work A Reference Point: The Standard Hydrogen Electrode The Effect of Concentration on Ecell Relating Battery Capacity to Quantities of Reactants Electrolytic Cells and Rechargeable Batteries Fuel Cells 19 - 1 Electrochemical (Galvanic or Voltaic) Cells The difference in electrical potential between the anode and cathode is called: e- e- • cell voltage or potential (Volts) •electromotive force (E) Cell Diagram Zn (s) + Cu2+ (aq) Cu (s) + Zn2+ (aq) [Cu2+] = 1 M & [Zn2+] = 1 M < Zn (s) | Zn2+ (1 M) || Cu2+ (1 M) | Cu (s) > Anode (+) Cathode (-) 1 11/24/2014 The circuit is completed via the “Salt Bridge” e- e- Common salt bridge = Na2SO4 SO42- Na+ gaining (+) charge losing (+) charge 2 11/24/2014 Chapter Outline 17.1 17.2 17.3 17.4 17.5 17.6 17.7 17.8 17.9 Redox Chemistry Revisited Electrochemical Cells Standard Potentials Chemical Energy and Electrical Work A Reference Point: The Standard Hydrogen Electrode The Effect of Concentration on Ecell Relating Battery Capacity to Quantities of Reactants Electrolytic Cells and Rechargeable Batteries Fuel Cells 19 - 5 The cell voltage is the difference in potential between the cathode and the anode: 0 0 = E0 Ecell cathode - Eanode cathode: Cu2+(aq) + 2e- Cu(s) Ecathode anode: Zn2+(aq) + 2e- Zn(s) Eanode Ecathode and Eanode are called Standard Reduction Potentials; measured and tabulated (Table A6.1) Measured under Standard Conditions = 1 atm, 1.0 M, 298 K 3 11/24/2014 0 0 = E0 Ecell cathode - Eanode e- e- Cu2+(aq) + 2e- Cu(s) Zn2+(aq) + 2e- Zn(s) Sign conventions: E > 0 spontaneous E = 0 equilibrium E < 0 nonspontaneous Standard Reduction Potentials at 298 K F2(g) + 2 e- 2 F-(aq) +2.87 V 2 H3O+(aq) + 2 e- H2(g) + 2 H2O(l) Li(s) + e- Li+(aq) 0.00 V -3.045 V 4 11/24/2014 • reactions are written as a reduction: E0red • the more positive E0 is, the greater the tendency for the substance to be reduced • strong oxidizing agents at the top • strong reducing agents at the bottom • the half-cell reactions are reversible • the sign of E0 changes when the reaction is reversed = “oxidizing potential” 5 11/24/2014 The Zinc-Air Battery Cell potentials when the number of electrons transferred is different for each half reaction Changing the stoichiometric coefficients of a half-cell reaction does not change the value of E0 Eo = -1.25 V* an ( Zn(s) + 2 OH-(aq) ZnO(s) + H2O(l) + 2e- Cathode: O2(g) + 2H2O(l) + 4e- 4OH-(aq) Net: ( Anode: 2 Eocath = 0.401 V 2 Zn(s) + O2(g) 2 ZnO(s) 0 0 = E0 Ecell cathode - Eanode = 0.401 - (-1.25) = 1.65 V *Eoanode is obtained by reversing the reaction and looking up Eored ZnO(s) + H2O(l) + 2 e- Zn(s) + 2 OH-(aq) 6 11/24/2014 Chapter Outline 17.1 17.2 17.3 17.4 17.5 17.6 17.7 17.8 17.9 Redox Chemistry Revisited Electrochemical Cells Standard Potentials Chemical Energy and Electrical Work A Reference Point: The Standard Hydrogen Electrode The Effect of Concentration on Ecell Relating Battery Capacity to Quantities of Reactants Electrolytic Cells and Rechargeable Batteries Fuel Cells 19 - 13 Chemical Energy and Electrical Work Gcell = welec = -C Ecell • welec = work done by the cell • C = charge (coulombs) • Volts = J/C G = -nFEcell • Faraday constant (F) is 9.65 × 104 C/(mol e-) • n = number of moles of electrons 14 7 11/24/2014 “Button” Batteries 8 11/24/2014 Chapter Outline 17.1 17.2 17.3 17.4 17.5 17.6 17.7 17.8 17.9 Redox Chemistry Revisited Electrochemical Cells Standard Potentials Chemical Energy and Electrical Work A Reference Point: The Standard Hydrogen Electrode The Effect of Concentration on Ecell Relating Battery Capacity to Quantities of Reactants Electrolytic Cells and Rechargeable Batteries Fuel Cells 19 - 17 A Reference Point: The Standard Hydrogen Electrode 2 H3O+(aq) + 2 e- H2(g) + 2 H2O(l) 0.00 V || H+ (1.00 M) | H2(g, 1.00 atm) | Pt 9 11/24/2014 10 11/24/2014 Chapter Outline 17.1 17.2 17.3 17.4 17.5 17.6 17.7 17.8 17.9 Redox Chemistry Revisited Electrochemical Cells Standard Potentials Chemical Energy and Electrical Work A Reference Point: The Standard Hydrogen Electrode The Effect of Concentration on Ecell Relating Battery Capacity to Quantities of Reactants Electrolytic Cells and Rechargeable Batteries Fuel Cells 19 - 21 The Effect of Concentration on Ecell The Nernst Equation for aA + bB = cC + dD, from Thermodynamics we know - ΔG ΔG o RT ln Q and ΔG nFE nFE nFE o RT ln Q E Eo E Eo E Eo RT ln Q nF 2.303RT log Q nF Converting to base 10 log 0.0592 log Q at 25o C n 11 11/24/2014 The Lead-Acid Battery The Lead-Acid Battery Cathode: Anode: 0 0 = E0 Ecell cathode - Eanode = 1.685 - (-0.356) = 2.041 V 12 11/24/2014 The Lead-Acid Battery Both cells kept at 4.5 M H2SO4 Ecell = 2.041V - 0.0592 log 2 1 2 2 [4.5 M] [4.5 M] = 2.041 V -.(-0773) V = 2.1 V 13 11/24/2014 Eo and K aA + bB = cC + dD E Eo at equilibrium - 0.0592 log Q at 25o C n 0 Eo Eo 0.0592 log Q n K 0.0592 log K n nEo K 10 0.0592 14 11/24/2014 15
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