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Redox Reactions and Electrochemistry Chapter 19 Cell Potentials Ecell = Ered (cathode) − Ered (anode) = +0.34 V − (−0.76 V) = +1.10 V Oxidizing and Reducing Agents • The strongest oxidizers have the most positive reduction potentials. • The strongest reducers have the most negative reduction potentials. • Remember that the oxidant occurs on the left side of the equation, and the reductant occurs on the right side of the equation Oxidizing and Reducing Agents The greater the difference between the two halfreaction potentials, the greater the voltage of the cell. Free Energy G for a redox reaction can be found by using the equation G = −nFE where n is the number of moles of electrons transferred, and F is a constant, the Faraday. 1 F = 96,485 C/mol = 96,485 J/V-mol Free Energy Under standard conditions, G = −nFE Nernst Equation • Remember that G = G + RT ln Q • This means −nFE = −nFE + RT ln Q Nernst Equation Dividing both sides by −nF, we get the Nernst equation: RT ln Q E = E − nF or, using base-10 logarithms, 2.303 RT log Q E = E − nF Nernst Equation At room temperature (298 K), 2.303 RT = 0.0592 V F Thus the equation becomes 0.0592 log Q E = E − n Nernst E= E0 0.0592 V log Q n Concentration Cells • Notice that the Nernst equation implies that a cell could be created that has the same substance at both electrodes. E= E0 0.0592 V log Q n • For such a cell, Ecell would be 0, but Q would not. • Therefore, as long as the concentrations are different, E will not be 0. Concentration Cells Ion concentration and emf in the human heart: variation of the electrical potential caused by changes of ion concentrations in the pacemaker cells of the heart Concentration Cells Electrocardiography: measuring voltage changes during heartbeats at the surface of the body Applications of Oxidation-Reduction Reactions Batteries Portable, self-contained electrochemical power source; vary greatly in both size and in the electrochemical reaction used to generate electricity Batteries Galvanic cell, or a series of combined galvanic cells, that can be used as a source of direct electric current at a constant voltage Batteries Different applications require batteries with different properties • The battery required to start a car must be capable of delivering a large electrical current for a short period of time • The battery that powers a heart pace-maker must be very small and capable of delivering a small but steady current over an extended time period • Some batteries are primary cells, meaning they cannot be recharged • Some batteries are secondary cells, meaning they can be recharged from an external power source after their emf has dropped Batteries Dry cell Leclanché cell Anode: Cathode: Zn (s) 2NH+4 (aq) + 2MnO2 (s) + 2e- Zn (s) + 2NH4 (aq) + 2MnO2 (s) Zn2+ (aq) + 2eMn2O3 (s) + 2NH3 (aq) + H2O (l) Zn2+ (aq) + 2NH3 (aq) + H2O (l) + Mn2O3 (s) 19.6