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Redox Reactions and Electrochemistry I. Redox Reactions a) b) II. Oxidation Number Oxidizing and Reducing Reagents Galavanic or Voltaic Cells a) b) c) Anode/Cathode/Salt Bridge Cell Notations Determining Cell Potential/Cell Voltage/Electromotive force (emf) Relating Cell Potential to K and DG0 IV. Effect of Concentration on Cell Potential V. Corrosion VI. Batteries VII. Fuel Cells VIII.Electrolytic Cells III. a) Calculating amounts of substances reduced or oxidized REDOX REACTION DEFINITIONS Oxidation: Loss of electrons. Reduction: Gain of electrons. LEO says GER Oxidation: Gain of oxygen Reduction: Lost of oxygen Oxidation: Increasing of oxidation number Reduction: Reducing of oxidation number CO CO2 (CO oxidized) why? CH3COOH CH3CHO (CH3COOH reduced) why? H2SO3 H2SO4 ?? HNO3 HNO2 ?? Ca2+ Ca (Ca2+ reduced) why? Na Na+ (Na oxidized) why? Fe3+ Fe2+ Mn2+ MnO4– (Mn2+ oxidized) why? Cl2 2 Cl– (Cl2 reduced) why? H2O2 H2O ?? NaH H2 ?? LEO says GER : Lose Electrons = Oxidation Na0 Na+1 + 1e- Sodium is oxidized Gain Electrons = Reduction Cl0 + 1e– Cl– Chlorine is reduced Rules for Assignment of Oxidation Number (ON) 1) The ON of all pure elements is zero. 2) The ON of H is +1, except in hydrides, where it is -1. 3) The ON of O is -2, except in peroxides, where it is -1. 4) The algebraic sum of ON must equal zero for a neutral molecule or the charge on an ion. Variable Oxidation Number of Elements Sulfur: SO42-(+6), SO32-(+4), S(0), FeS2(-1), H2S(-2) Carbon: CO2(+4), C(0), CH4(-4) Nitrogen: NO3-(+5), NO2-(+3), NO(+2), N2O(+1), N2(0), NH3(-3) Iron: Fe2O3(+3), FeO(+2), Fe(0) Manganese: MnO4-(+7), MnO2(+4), Mn2O3(+3), MnO(+2), Mn(0) Copper: CuO(+2), Cu2O(+1), Cu(0) Tin: SnO2(+4), Sn2+(+2), Sn(0) Uranium: UO22+(+6), UO2(+4), U(0) Arsenic: H3AsO40(+5), H3AsO30(+3), As(0), AsH3(-1) Chromium: CrO42-(+6), Cr2O3(+3), Cr(0) Gold: AuCl4-(+3), Au(CN)2-(+1), Au(0) BALANCING OVERALL REDOX REACTIONS Example balance the redox reaction below: Fe + Cl2 Fe3+ + ClStep 1: Assign oxidation number, Fe0 + Cl20 Fe3+ + ClStep 2: Determine number of electrons lost or gained by reactants. Fe0 + Cl20 Fe3+ + Cl 3e2eStep 3: Cross multiply. 2Fe + 3Cl20 2Fe3+ + 6Cl- may be written as the sum of two half-cell reactions: 2Fe 2Fe3+ + 6e- (oxidation) 3Cl20 + 6e- 6Cl- (reduction) All overall redox reactions can be expressed as the sum of two half-cell reactions, one a reduction and one an oxidation. The overall reaction: 2Fe + 3Cl20 2Fe3+ + 6Cl- 9 Another example - balance the redox reaction: FeS2 + O2 Fe(OH)3 + SO42- Fe+2S20 + O20 Fe+3(OH)3 + S+6O42 15e4e4FeS2 + 15O2 Fe(OH)3 + SO424FeS2 + 15O2 4Fe(OH)3 + 8SO424FeS2 + 15O2 +14H2O 4Fe(OH)3 + 8SO42- + 16H+ This reaction is the main cause of acid generation in drainage from sulfide ore deposits. Note that we get 4 moles of H+ for every mole of pyrite oxidized! 10 Electrochemistry: Interconversion of electrical and chemical energy using redox reactions Oxidation Half-Reaction: Oxidation Involves Loss of electrons 2Mg 2Mg2+ + 4e- Reduction Half-Reaction: Reduction Involves Gain of electrons O2 + 4e2O2- Net Redox Reaction: 2Mg + O2 2 Mg+2 + 2 O-2 Oxidation number The charge the atom would have in a molecule (or an ionic compound) if electrons were completely transferred to the more electronegative atom. 1. Oxidation number equals ionic charge formonoatomic ions in ionic compound CaBr2; Ca = +2, Br = -1 2. Metal ions in Family A have one, positive oxidation number; Group IA metals are +1, IIA metals are +2 Li+, Li = +1; Mg+2, Mg = +2 The charge the atom would have in a molecule (or an ionic compound) if electrons were completely transferred to the more electronegative atom. 3. The oxidation number of a transition metal ion is positive, but can vary in magnitude. 4. Nonmetals can have a variety of oxidation numbers,both positive and negative numbers which can vary in magnitude. 5. Free elements (uncombined state) have an oxidation number of zero. Each atom in O2, F2, H2, Cl2, K, Be has the same oxidation number; zero. 6. The oxidation number of fluorine is always –1. (unless fluorine is in elemental form, F2) 7. 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. IF; F= -1; I = +1 8. 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 or when it’s in elemental form (H2; oxidation # =0). HF; F= -1, H= +1 NaH; Na= +1, H = -1 9. The oxidation number of oxygen is usually –2. In H2O2 and O22- it is –1, in elemental form (O2 or O3) it is 0. H2O ; H=+1, O= -2 SO3; O = -2; S = +6 HCO3- IF7 O = -2 H = +1 F = -1 7x(-1) + ? = 0 I = +7 3x(-2) + 1 + C = -1 C = +4 NaIO3 Na = +1 O = -2 3x(-2) + 1 + ? = 0 I = +5 Determination of Oxidizing and Reducing Agents Determine oxidation number for all atoms in both the reactants and products. Look at same atom in reactants and products and see if oxidation number increased or decreased. If oxidation number decreased:substance reduced Oxidizing Agent If oxidation number increased; substance oxidized Reducing Agent Spontaneous Redox Reaction Zn(s) + Cu+2 (aq) -> Cu(s) + Zn+2(aq) Zn Cu+2 time Zn+2 Cu Gets Smaller Gets Larger Types of Electrochemical Cells Voltaic/Galvanic Cell: Energy released from spontaneous redox reaction can be transformed into electrical energy. Electrolytic Cell: Electrical energy is used to drive a nonspontaneous redox reaction. Voltaic Cell Anode: Site of Oxidation Cathode: Site of Reduction AnOx or both vowels Red Cat or both consonants Direction of electron flow: anode to cathode (alphabetical) Salt Bridge: Maintains electrical neutrality + ion migrates to cathode - ion migrates to anode Cell Notation 1. 2. 3. Anode Salt Bridge Cathode Anode | Salt Bridge | Cathode | : symbol is used whenever there is a different phase Cell Notation Zn (s) + Cu2+ (aq) Cu (s) + Zn2+ (aq) [Cu2+] = 1 M & [Zn2+] = 1 M Zn (s) | Zn2+ (1 M) || Cu2+ (1 M) | Cu (s) cathode anode More detail.. Zn (s)| Zn+2 (aq, 1M)| K(NO3) (saturated)|Cu+2(aq, 1M)|Cu(s) anode Salt bridge cathode Zn (s) + 2 H+(aq) -> H2 (g) + Zn+2 (aq) K(NO3) Zn(s)| Zn+2|KNO3|H+(aq)|H2(g)|Pt Electrochemical Cells The difference in electrical potential between the anode and cathode is called: • cell voltage • electromotive force (emf) • cell potential 0 0 0 ECell Eoxidation Ereduction E Units: Volts Volt (V) = Joule (J) Coulomb ( C ) Standard Electrode 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. Reduction Reaction: 2e- + 2H+ (1 M) E0 = 0 V Standard hydrogen electrode (SHE) H2 (1 atm) Determining if Redox Reaction is Spontaneous + E°CELL spontaneous reaction 0 E°CELL equilibrium - E°CELL nonspontaneous reaction More positive E°CELL stronger oxidizing agent or more likely to be reduced • E0 is for the reaction as written • 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 • The more positive E0 the greater the tendency for the substance to be reduced Relating E0Cell to G0 ECell work ch arg e Charge = nF Units Work: Joule Charge (Q): Coulomb Ecell : Volts Faraday (F): charge on 1 mole eF = 96485 C/mole Work = (charge)Ecell = -nFEcell G = work (maximum) G = -nFEcell Relating EoCELL to the Equilibrium Constant, K G0 = -RT ln K G0 = -nFE0cell 0 Cell E RT ln K nF 0 Cell E -RT ln K = -nFE0cell J 8 . 31 298K RT molK 0.0257 C F 96485 mole 0.0257 0.0592 ln K log K n n Effect of Concentration on Cell Potential G = G0 + RTlnQ G0 = -nFE0cell Ecell= E0cell - 0.0257ln Q n -nFEcell = -nFE0cell + RTln Q Ecell = E0cell - RTln Q nF Ecell= E0cell – 0.0592log Q n Corrosion – Deterioration of Metals by Electrochemical Process Cathodic Protection Batteries Dry cell A: Zn (s) Zn2+ (aq) + 2eC: 2NH4+ (aq) + 2MnO2 (s) + 2eZn (s) + 2NH4 (aq) + 2MnO2 (s) Mn2O3 (s) + 2NH3 (aq) + H2O (l) Zn2+ (aq) + 2NH3 (aq) + H2O (l) + Mn2O3 (s) Batteries Mercury Battery Anode: Zn(Hg) + 2OH- (aq) Cathode: HgO (s) + H2O (l) + 2e- Zn(Hg) + HgO (s) ZnO (s) + H2O (l) + 2eHg (l) + 2OH- (aq) ZnO (s) + Hg (l) Batteries Lead storage battery Anode: Cathode: Pb (s) + SO42- (aq) PbSO4 (s) + 2e- PbO2 (s) + 4H+ (aq) + SO42- (aq) + 2e- Pb (s) + PbO2 (s) + 4H+ (aq) + 2SO42- (aq) PbSO4 (s) + 2H2O (l) 2PbSO4 (s) + 2H2O (l) Fuel Cell vs. Battery Battery: Energy storage device Reactant chemicals already in device Once Chemicals used up; discard (unless rechargeable) Fuel Cell: Energy conversion device Won’t work unless reactants supplied Reactants continuously supplied; products continuously removed Fuel Cell A fuel cell is an electrochemical cell that requires a continuous supply of reactants to keep functioning Anode: 2H2 (g) + 4OH- (aq) Cathode: O2 (g) + 2H2O (l) + 4e2H2 (g) + O2 (g) 4H2O (l) + 4e4OH- (aq) 2H2O (l) Charge =(Current)(Time) Molar Mass Faraday’s Constant Redox Eqn