Review Unit 8 Electrochemistry Chapter 19 Copyright 2004 - John Sayles 1 Oxidation Number • Way to keep track of who gains and who loses e-’s • A few elements have dependable ox #’s – Group I metals always +1 – Group II metals always +2 – Lone halogens always -1 • +1, +3, +5, +7 in oxyradicals – Oxygen usually -2 • Peroxide is O2-2 – Hydrogen usually +1 • Hydride is -1 • Valence of other elements is inferred - John Sayles – Total charge = sum Copyright of ox2004#’s 2 Redox Terminology • Oxidizing agent (high reduction potential) – Yanks e- from other species, causing oxidation – Is reduced • Reducing agent (high oxidation potential) – Forces e- on other species, causing reduction – Is oxidized • Anode is electrode where oxidation occurs • Cathode is electrode where reduction occurs Copyright 2004 - John Sayles 3 Balancing Redox Equations • Split into half reactions – Identify elements being oxidized & reduced • Balance each half-reaction for atoms – – – – For main element For O’s, by adding H2O For H’s, by adding H+ (neutralize H+’s by adding OH-’s to both sides) • Balance for electrons by examining ∆ ox #’s • Multiply and recombine to cancel e-’s • Do chromate/Fe+2, permanganate/HCl Copyright 2004 - John Sayles 4 Electromotive Force • Can’t measure EMF of a half-cell, so we must pick arbitrary standard H2 -----> 2 H+ + 2 e- E°red/ox = 0.00 volts • Rules for manipulating E’s Ered = - Eox Edoubled = Esingle Etotal = Ered + Eox • E > 0 for spont. rxn, E = 0 at equilibrium Copyright 2004 - John Sayles 5 Standard Electrode (Reduction) Potentials in Aqueous Solution T19_1a Cathode (Reduction) Half-Reaction Li +(aq) + eР Р 2.71 Na( s) Р 2+ Mg (aq) + 2e Mg( s) Р 2.38 Al3+(aq) + 3eР Al(s) Р 1.66 H2(g) + 2OH Р(aq) Р 0.83 Zn (aq) + 2e Zn( s) Р 0.76 Cr3+(aq) + 3eР Cr(s) Р 0.74 Fe(s) Р 0.41 Cd (aq) + 2e Cd(s) Р 0.40 Ni 2+(aq) + 2eР Ni(s) Р 0.23 Sn (aq) + 2e Sn(s) Р 0.14 Pb3+(aq) + 2eР Pb(s) Р 0.13 Fe(s) Р 0.04 2H (aq) + 2e H2(g) Sn4+(aq) + 2eР Sn2+(aq) Cu+(aq) Cu(s) 0.00 0.15 0.16 0.34 Р 2H 2O(l) + 2e 2+ Р 2+ Р 2+ Р Fe (aq) + 2e Р 2+ 3+ Р 3+ Р Fe (aq) + 3e Cu2+(aq) + eР Cu2+(aq) + 2eР © Р 3.04 Li(s) Na +(aq) + eР Copyright Standard Potential, Eј(V) Table 19-1A Houghton Mifflin Company. All rights reserved Copyright 2004 - John Sayles 6 Standard Electrode (Reduction) Potentials in Aqueous Solution T19_1b Standard Potential, Eј(V) Cathode (Reduction) Half-Reaction IР(aq) + 2OH Р(aq) IOР(aq) + H2O(l) + 2eР Cu3+(aq) + eР Cu(s) 0.52 I2(s) + 2eР Fe3+(aq) + eР 2IР(aq) Fe2+(aq) 0.54 2Hg( l) 0.80 Hg 22+(aq) + 2eР Ag+(aq) + eР 0.77 0.80 Ag(s) Hg 2+(aq) + 2eР 0.85 Hg( l) CLO Р (aq) + H2O(l) +2eР ClР (aq) + 2OH Р(aq) 2Hg 2+(aq) + 2eР Hg 22+(l) NO 3Р (aq) + 4H+(aq) + 3eР Br2(l) + 2eР NO(g) + 2H 2O(l) MnO 4Р(aq) + 8H+(aq) + 5eР H2O2(aq) + 2H+(aq) + 2eР F2(g) + 2eР © 1.23 2H 2O(l) 2Cr 3+(aq) + 7H2O(l) 2Cl Р (aq) S2O82Р (aq) + 2eР 0.96 1.07 Cr2O72Р (aq) + 14H+(aq) + 2eР Cl2(g) + 2eР 0.90 0.90 2Br Р(aq) O2(g) + 4H+(aq) + 4eР Copyright 0.49 1.33 1.36 Mn 2+(aq) + 4H2O(l) 1.49 1.78 2H 2O(l) 2.01 2SO 42Р(aq) 2.87 2FР(aq) Table 19-1B Houghton Mifflin Company. All rights reserved Copyright 2004 - John Sayles 7 Voltaic Cells • Spontaneous Redox reaction (E > 0 volts) • Know how to sketch one – Anode, cathode, salt bridge, flow of e-’s, ions – Ex: Cu/Cu+2 || Ag+/Ag • eV = energy needed to move an e- against a potential difference of 1 volt • Joule = energy needed to move a coulomb of e-’s against 1 volt – So Joule = coulomb volt Copyright 2004 - John Sayles 8 Atomic View of A Voltaic Cell Copyright © 19-2 Houghton Mifflin Company. All rights reserved Copyright 2004 - John Sayles 9 A Zinc-Copper Voltaic Cell Copyright © 19-3 Houghton Mifflin Company. All rights reserved Copyright 2004 - John Sayles 10 Another Voltaic Cell Copyright © 19-4 Houghton Mifflin Company. All rights reserved Copyright 2004 - John Sayles 11 Electrolytic Cells • Nonspontaneous reaction (E < 0 volts) • Reaction forced by supplying outside +EMF in excess of E. • Great way to count moles – Amps x seconds = coulombs of e-’s – 1 mole e-’s = 96,485 coulomb = 1 Faraday – Consider moles e-’s in balanced half-reaction Copyright 2004 - John Sayles 12 Electrolytic Half-cell Possibilities • Anode possibilities – Oxidize the anion • Will happen unless anion is F-, SO4-2, NO3- – Oxidize OH• Only in basic solution • 2 OH- ----> 1/2 O2 + H2O + 2 e- – Oxidize H2O • Only if other two options are available • H2O ----> 1/2 O2 + 2 H+ + 2 eCopyright 2004 - John Sayles 13 Electrolytic Half-cell Possibilities • Cathode possibilities – Reduce the cation • Will happen unless cation is Gp I, Gp II, or Al+3 – Reduce H+ ions • Only in acidic solution • 2 H+ + 2 e- ----> H2 – Reduce H2O • Only if other two options are not available • H2O + e- ----> 1/2 H2 + OHCopyright 2004 - John Sayles 14 The Nernst Equation • For calculating non-standard E’s E = E° - RT/(n) ln Q E = E° - .0257/n ln Q • Also the basis for ion-selective electrodes • pH probe sends voltage based on ∆ [H+] • pH meter calculates [H+] and displays pH Copyright 2004 - John Sayles 15 The Relationship Among K, ∆Gº, and Eº cell 19_7 Calorimetric data H ј, S ј Gј = H ј - TS ј Composition data Gј Gј = - nFE ј cell Electrochemical data E ј cell Gј = - RT ln K Eј cell = RT nF lnK Equilibrium constants K Copyright © 19-7 Houghton Mifflin Company. All rights reserved Copyright 2004 - John Sayles 16