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Electrochemistry Chapter 4 4.4 and 4.8 Chapter 19 19.1-19.5 and 19.8 Oxidation-Reduction Reactions Electron Transfer Reactions Many redox reactions take place in water. Half-reactions OILRIG Oxidation-Reduction Reactions 2Mg (s) + O2 (g) 2MgO (s) 2Mg2+ + 4e- Oxidation half-reaction (lose e-) 2Mg O2 + 4e- 2O2- Reduction half-reaction (gain e-) 2Mg + O2 + 4e2Mg + O2 2Mg2+ + 2O2- + 4e2MgO Oxidation-Reduction Reactions Oxidizing Agent- a substance that accepts electrons from another substance, causing the other substance to be oxidized. Reducing Agent- a substance that donates electrons to another substance, causing it to become reduced. Oxidation-Reduction Reactions Zn (s) + CuSO4 (aq) ZnSO4 (aq) + Cu (s) Oxidation-Reduction Reactions Zn (s) + CuSO4 (aq) Zn Zn2+ + 2e- ZnSO4 (aq) + Cu (s) Zn is oxidized Zn is the reducing agent Cu2+ + 2e- Cu Cu2+ is reduced Cu2+ is the oxidizing agent Oxidation-Reduction Reactions Copper wire reacts with silver nitrate to form silver metal. What is the oxidizing agent in the reaction? Cu (s) + 2AgNO3 (aq) Cu Cu(NO3)2 (aq) + 2Ag (s) Cu2+ + 2e- Ag+ + 1e- Ag Ag+ is reduced Ag+ is the oxidizing agent Oxidation Number Oxidation Number- the number of charges the atom would have in a molecule (or an ionic compound) if electrons were transferred completely. H2(g) + Cl2(g) → 2HCl(g) 0 0 +1 -1 Assigning Oxidation Numbers 1. Free elements (uncombined state) have an oxidation number of zero. Na, Be, K, Pb, H2, O2, P4 = 0 2. In monatomic ions, the oxidation number is equal to the charge on the ion. Li+, Li = +1; Fe3+, Fe = +3; O2-, O = -2 3. The oxidation number of oxygen is usually –2. In H2O2 and O22- it is –1. Assigning Oxidation Numbers 4. The oxidation number of hydrogen is +1 except when it is bonded to metals in binary compounds. In these cases, its oxidation number is –1. 5. Group IA metals are +1, IIA metals are +2 and fluorine is always –1. 6. The sum of the oxidation numbers of all the atoms in a molecule or ion is equal to the charge on the molecule or ion. Assigning Oxidation Numbers Oxidation numbers of all the elements in HCO3- ? HCO3O = -2 H = +1 3x(-2) + 1 + ? = -1 C = +4 Assigning Oxidation Numbers Redox Titrations Oxidizing agent/Reducing Agent Equivalence point reached when reducing agent is completely oxidized by the oxidizing agent. Indicator is needed Redox Titrations Electrochemistry Branch of Chemistry that deals with interconversion of electrical and chemical energy. Importance Use of electricity in everyday life Interconversion of energy Study of electrochemical processes Electrochemistry Electrochemical processes are oxidation-reduction reactions in which: • the energy released by a spontaneous reaction is converted to electricity or • electrical energy is used to cause a nonspontaneous reaction to occur Balancing Redox Equations Simple reactions easy to balance Complex reactions Usually encountered in laboratory Can include CrO42-, Cr2O72-, MnO4-, NO3- and SO42 Follow balancing guidelines Balancing Redox Reactions Guidelines Step 1: Write the unbalanced equation for the reaction in ionic form. Step 2: Separate the equation into two half-reactions Step 3: Balance each half-reaction for number and type of atoms and charges. (Look at medium) Step 4: Add the two half-reactions together and balance the final equation by inspection. The electrons on both sides must cancel. (Be sure they are equal) Step 5: Verify that the equation contains the same type and numbers of atoms and the same charges on both sides of the equation. Balancing Redox Equations The oxidation of Fe2+ to Fe3+ by Cr2O72- in acid solution? 1. Write the unbalanced equation for the reaction ion ionic form. Fe2+ + Cr2O72- Fe3+ + Cr3+ 2. Separate the equation into two half-reactions. +2 Fe2+ Oxidation: +6 +3 Fe3+ +3 Cr3+ Reduction: Cr2O723. Balance the atoms other than O and H in each half-reaction. Cr2O722Cr3+ Balancing Redox Reactions 4. For reactions in acid, add H2O to balance O atoms and H+ to balance H atoms. Cr2O722Cr3+ + 7H2O 14H+ + Cr2O722Cr3+ + 7H2O 5. Add electrons to one side of each half-reaction to balance the charges on the half-reaction. Fe2+ Fe3+ + 1e6e- + 14H+ + Cr2O722Cr3+ + 7H2O 6. If necessary, equalize the number of electrons in the two halfreactions by multiplying the half-reactions by appropriate coefficients. 6Fe2+ 6Fe3+ + 6e6e- + 14H+ + Cr2O722Cr3+ + 7H2O Balancing Redox Reactions 7. Add the two half-reactions together and balance the final equation by inspection. The number of electrons on both sides must cancel. Oxidation: 6Fe2+ Reduction: 6e- + 14H+ + Cr2O7214H+ + Cr2O72- + 6Fe2+ 6Fe3+ + 6e2Cr3+ + 7H2O 6Fe3+ + 2Cr3+ + 7H2O 8. Verify that the number of atoms and the charges are balanced. 14x1 – 2 + 6x2 = 24 = 6x3 + 2x3 9. For reactions in basic solutions, add OH- to both sides of the equation for every H+ that appears in the final equation. Galvanic Cells Oxidation-Reduction Reaction Oxidizing agent and Reducing agent are not in contact External conducting medium Galvanic Cell/Volatic Cell- the experimental apparatus for generating electricity through the use of a spontaneous reaction. Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Voltmeter e– Zinc anode e– Copper cathode Cl– K + Salt bridge SO 2– 4 Zn 2+ Zn2+ ZnSO4 solution Cotton plugs Cu2+ SO 2– 4 CuSO4 solution Cu2+ 2e– Cu Zn is oxidized to Zn2+ at anode. Zn(s) Zn2+ (aq) + 2 e– Cu2+ is reduced to Cu at cathode. 2e– + Cu2+ (aq) Net reaction Zn2+ (aq) + Cu(s) Zn(s) + Cu2+ (aq) Cu(s) Galvanic Cells Cell Voltage- the difference in electrical potential between the anode and the cathode. Measured by a voltmeter. Electromotive force (emf) and Cell Potential Voltage of a cell depends on: Composition of electrode and ions Concentration of ions Temperature Galvanic Cells Cell Diagram Zn (s) + Cu2+ (aq) Cu (s) + Zn2+ (aq) Zn (s) | Zn2+ (1 M) || Cu2+ (1 M) | Cu (s) anode cathode Standard Reduction Potentials Standard reduction potential (E0) is the voltage associated with a reduction reaction at an electrode when all solutes are 1 M and all gases are at 1 atm. Used to calculate the emf of a galvanic cell. Use the values from anode and cathode 0 ) Standard emf (Ecell 0 0 = E0 Ecell cathode - Eanode Standard Reduction Potentials Zn (s) | Zn2+ (1 M) || H+ (1 M) | H2 (1 atm) | Pt (s) Anode (oxidation): Zn (s) Cathode (reduction): 2e- + 2H+ (1 M) Zn (s) + 2H+ (1 M) Zn2+ (1 M) + 2eH2 (1 atm) Zn2+ + H2 (1 atm) Standard Reduction Potentials 0 = 0.76 V Ecell 0 ) Standard emf (Ecell 0 0 = E0 Ecell cathode - Eanode Zn (s) | Zn2+ (1 M) || H+ (1 M) | H2 (1 atm) | Pt (s) 0 = E 0 + - E 0 2+ Ecell H /H2 Zn /Zn 0 2+ 0.76 V = 0 - EZn /Zn 0 2+ EZn /Zn = -0.76 V Zn2+ (1 M) + 2e- Zn E0 = -0.76 V Standard Reduction Potentials 0 = 0.34 V Ecell 0 0 = E0 Ecell cathode - Eanode 0 = E 0 2+ 0 Ecell Cu /Cu – EH +/H 2 0 2+ 0.34 = ECu /Cu - 0 0 2+ ECu /Cu = 0.34 V Pt (s) | H2 (1 atm) | H+ (1 M) || Cu2+ (1 M) | Cu (s) Anode (oxidation): H2 (1 atm) Cathode (reduction): 2e- + Cu2+ (1 M) H2 (1 atm) + Cu2+ (1 M) 2H+ (1 M) + 2eCu (s) Cu (s) + 2H+ (1 M) 19.3 Tips E0 is for the reaction as written The more positive E0 the greater the tendency for the substance to be reduced The half-cell reactions are reversible The sign of E0 changes when the reaction is reversed Changing the stoichiometric coefficients of a half-cell reaction does not change the value of E0 Spontaneity of Redox Reactions Relationship between Eºcell, ΔGº and K. 0 DG0 = -nFEcell n = number of moles of electrons in reaction J F = 96,500 = 96,500 C/mol V • mol 0 Ecell 0.0257 V ln K = n 0 Ecell 0.0592 V log K = n Spontaneity of Redox Reactions Relationships between Eºcell, ΔGº and K The Effect of Concentration on Cell Emf Not all reactions in galvanic cells can occur under standard state conditions. Nernst Equation- equation used to calculate cell potential under nonstandard state conditions. E = E0 - 0.0257 V ln Q n E = E0 - 0.0592 V log Q n Will the following reaction occur spontaneously at 250C if [Fe2+] = 0.60 M and [Cd2+] = 0.010 M? Fe2+ (aq) + Cd (s) Fe (s) + Cd2+ (aq) Oxidation: Cd Reduction: 2e- + Fe2+ 0 0 E0 = EFe 2+/Fe – ECd2+/Cd E0 = -0.44 – (-0.40) E0 = -0.04 V Cd2+ + 2en=2 2Fe 0.0257 V ln Q n 0.010 0.0257 V ln E = -0.04 V 2 0.60 E = 0.013 E = E0 - E>0 Spontaneous 19.5 Concentration Cells Galvanic cells consisting of the same type of electrodes in the same solution. Each solution is a different concentration. Zn(s) | Zn2+(0.10M) || Zn2+(1.0M) | Zn(s) E = Eº - 0.0257V/ 2 x ln [Zn2+] dil / [Zn2+]conc E = 0- 0.0257V/2 ln (0.10/1.0) E = 0.0296 V Concentration Cells Importance Unequal ion concentrations Membrane potential Propagation Electrolysis Electrolysis- is the process in which electrical energy is used to cause a nonspontaneous chemical reaction to occur. Electrolytic Cell- an apparatus for carrying out electrolysis.