ELECTROCHEMISTRY Chapter 21 Electric automobile Copyright © 1999 by Harcourt Brace & Company All rights reserved. Requests for permission to make copies of any part of the work should be mailed to: Permissions Department, Harcourt Brace & Company, 6277 Sea Harbor Drive, Orlando, Florida 2 TRANSFER REACTIONS Atom transfer HOAc + H2O ---> OAc- + H3O+ Electron transfer Cu(s) + 2 Ag+(aq) ---> Cu2+(aq) + 2 Ag(s) Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 3 Electron Transfer Reactions • Electron transfer reactions are oxidationreduction or redox reactions. • Redox reactions can result in the generation of an electric current or be caused by imposing an electric current. • Therefore, this field of chemistry is often called ELECTROCHEMISTRY. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 4 Review of Terminology for Redox Reactions • OXIDATION—loss of electron(s) by a species; increase in oxidation number. • REDUCTION—gain of electron(s); decrease in oxidation number. • OXIDIZING AGENT—electron acceptor; species is reduced. • REDUCING AGENT—electron donor; species is oxidized. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 5 OXIDATION-REDUCTION REACTIONS Direct Redox Reaction Oxidizing and reducing agents in direct contact. Cu(s) + 2 Ag+(aq) ---> Cu2+(aq) + 2 Ag(s) Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 6 OXIDATION-REDUCTION REACTIONS Indirect Redox Reaction A battery functions by transferring electrons through an external wire from the reducing agent to the oxidizing agent. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Why Study Electrochemistry? • Batteries Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 7 Why Study Electrochemistry? • Batteries • Corrosion A rusted car. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 8 Why Study Electrochemistry? • Batteries • Corrosion • Industrial production of chemicals such as Cl2, NaOH, F2 and Al A rusted car. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 9 Why Study Electrochemistry? • Batteries • Corrosion • Industrial production of chemicals such as Cl2, NaOH, F2 and Al • Biological redox reactions Copyright (c) 1999 by Harcourt Brace & Company All rights reserved The heme group 10 11 Electrochemical Cells • An apparatus that allows a redox reaction to occur by transferring electrons through an external connector. • Product favored reaction ---> voltaic or galvanic cell ----> electric current • Reactant favored reaction ---> electrolytic cell ---> electric current used to cause chemical change. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Batteries are voltaic cells CHEMICAL CHANGE --> ELECTRIC CURRENT Zn Zn metal metal With time, Cu plates out onto Zn metal strip, and Zn strip “disappears.” 2+ ions Cu Cu2+ ions •Zn is oxidized and is the reducing agent Zn(s) ---> Zn2+(aq) + 2e•Cu2+ is reduced and is the oxidizing agent Cu2+(aq) + 2e- ---> Cu(s) Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 12 CHEMICAL CHANGE --> ELECTRIC CURRENT Zn Zn metal metal 2+ ions Cu Cu2+ ions Oxidation: Zn(s) ---> Zn2+(aq) + 2eReduction: Cu2+(aq) + 2e- ---> Cu(s) -------------------------------------------------------Cu2+(aq) + Zn(s) ---> Zn2+(aq) + Cu(s) Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 13 CHEMICAL CHANGE --> ELECTRIC CURRENT Zn Zn metal metal 2+ ions Cu Cu2+ ions Electrons are transferred from Zn to Cu2+, but there is no useful electric current. Oxidation: Zn(s) ---> Zn2+(aq) + 2eReduction: Cu2+(aq) + 2e- ---> Cu(s) -------------------------------------------------------Cu2+(aq) + Zn(s) ---> Zn2+(aq) + Cu(s) Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 14 15 CHEMICAL CHANGE --> ELECTRIC CURRENT •To obtain a useful current, we separate the oxidizing and reducing agents so that electron transfer occurs thru an external wire. •This is accomplished in a GALVANIC or VOLTAIC cell. •A group of such cells is called a battery. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved wire e le c t ro ns Zn Zn 2+ ions salt bridge Cu Cu2+ ions 16 wire e le c t ro ns Zn Zn2+ ions salt bridge Cu Cu2+ ions •Electrons travel thru external wire. •Salt bridge allows anions and cations to move between electrode compartments. •This maintains electrical neutrality. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 17 Electrons move from anode to cathode in the wire. Anions & cations move thru the salt bridge. Electrochemical Cell Copyright (c) 1999 by Harcourt Brace & Company All rights reserved CELL POTENTIAL, E Zn and Zn2+, anode Cu and Cu2+, cathode • Electrons are “driven” from anode to cathode by an electromotive force or emf. • For Zn/Cu cell, this is indicated by a voltage of 1.10 V at 25 C and when [Zn2+] and [Cu2+] = 1.0 M. Copyright © 1999 by Harcourt Brace & Company All rights reserved. Requests for permission to make copies of any part of the work should be mailed to: Permissions Department, Harcourt Brace & Company, 6277 Sea Harbor Drive, Orlando, Florida 19 CELL POTENTIAL, E • For Zn/Cu cell, voltage is 1.10 V at 25 C and when [Zn2+] and [Cu2+] = 1.0 M. • This is the STANDARD CELL POTENTIAL, Eo • —a quantitative measure of the tendency of reactants to proceed to products when all are in their standard states at 25 C. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 20 Calculating Cell Voltage • Balanced half-reactions can be added together to get overall, balanced equation. 2 I- ---> I2 + 2e2 H2O + 2e- ---> 2 OH- + H2 ------------------------------------------------2 I- + 2 H2O --> I2 + 2 OH- + H2 • If we know Eo for each half-reaction, we could get Eo for net reaction. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 21 CELL POTENTIALS, o E • Can’t measure 1/2 reaction Eo directly. Therefore, measure it relative to a STANDARD HALF CELL, SHE. 2 H+(aq, 1 M) + 2e- --> H2(g, 1 atm) Eo = 0.0 V Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 22 Zn/Zn2+ half-cell hooked to a SHE. Eo for the cell = +0.76 V Volts - Zn + Salt Bridge H2 Zn2+ Zn Zn2+ + 2eOXIDATION ANODE Copyright (c) 1999 by Harcourt Brace & Company All rights reserved H+ 2 H+ + 2eH2 REDUCTION CATHODE 23 Zn/Zn2+ half-cell hooked to a SHE. Eo for the cell = +0.76 V Volts - Zn + Salt Bridge H2 Zn2+ Zn Zn2+ + 2eOXIDATION ANODE Copyright (c) 1999 by Harcourt Brace & Company All rights reserved H+ 2 H+ + 2eH2 REDUCTION CATHODE 24 Volts Zn - + Salt Bridge H2 Zn2+ Zn Zn2+ + 2eOXIDATION ANODE H+ 2 H+ + 2eH2 REDUCTION CATHODE Overall reaction is reduction of H+ by Zn metal. Zn(s) + 2 H+ (aq) --> Zn2+ + H2(g) Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Eo = +0.76 V 25 Volts Zn - + Salt Bridge H2 Zn2+ Zn Zn2+ + 2eOXIDATION ANODE H+ 2 H+ + 2eH2 REDUCTION CATHODE Overall reaction is reduction of H+ by Zn metal. Zn(s) + 2 H+ (aq) --> Zn2+ + H2(g) Eo = +0.76 V Therefore, Eo for Zn ---> Zn2+ (aq) + 2e- is Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 26 Volts Zn - + Salt Bridge H2 Zn2+ Zn Zn2+ + 2eOXIDATION ANODE H+ 2 H+ + 2eH2 REDUCTION CATHODE Overall reaction is reduction of H+ by Zn metal. Zn(s) + 2 H+ (aq) --> Zn2+ + H2(g) Eo = +0.76 V Therefore, Eo for Zn ---> Zn2+ (aq) + 2e- is +0.76 V. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 27 Volts Zn - + Salt Bridge H2 Zn2+ Zn Zn2+ + 2eOXIDATION ANODE H+ 2 H+ + 2eH2 REDUCTION CATHODE Overall reaction is reduction of H+ by Zn metal. Zn(s) + 2 H+ (aq) --> Zn2+ + H2(g) Eo = +0.76 V Therefore, Eo for Zn ---> Zn2+ (aq) + 2e- is +0.76 V. Zn is a (better) (poorer) reducing agent than H2. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 28 Volts Zn - + Salt Bridge H2 Zn2+ Zn Zn2+ + 2eOXIDATION ANODE H+ 2 H+ + 2eH2 REDUCTION CATHODE Overall reaction is reduction of H+ by Zn metal. Zn(s) + 2 H+ (aq) --> Zn2+ + H2(g) Eo = +0.76 V Therefore, Eo for Zn ---> Zn2+ (aq) + 2e- is +0.76 V. Zn is a better reducing agent than H2. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 29 2+ Cu/Cu and H2 + /H Cell Volts Cu + Salt Bridge H2 Cu2+ Cu2+ + 2eCu REDUCTION CATHODE Copyright (c) 1999 by Harcourt Brace & Company All rights reserved H+ H2 2 H+ + 2eOXIDATION ANODE 30 Cu/Cu2+ and H2/H+ Cell Eo = +0.34 V Volts Cu + Salt Bridge H2 Cu2+ Cu2+ + 2eCu REDUCTION CATHODE Copyright (c) 1999 by Harcourt Brace & Company All rights reserved H+ H2 2 H+ + 2eOXIDATION ANODE Cu/Cu2+ and H2/H+ Cell 31 Volts Cu + Salt Bridge H2 Cu2+ Cu2+ + 2eCu REDUCTION CATHODE H+ H2 2 H+ + 2eOXIDATION ANODE • Overall reaction is reduction of Cu2+ by H2 gas. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Cu/Cu2+ and H2/H+ Cell 32 Volts Cu + Salt Bridge H2 Cu2+ Cu2+ + 2eCu REDUCTION CATHODE H+ H2 2 H+ + 2eOXIDATION ANODE • Overall reaction is reduction of Cu2+ by H2 gas. • Cu2+ (aq) + H2(g) ---> Cu(s) + 2 H+(aq) • Measured Eo = +0.34 V Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Cu/Cu2+ and H2/H+ Cell 33 Volts Cu + Salt Bridge H2 Cu2+ Cu2+ + 2eCu REDUCTION CATHODE • • • • H+ H2 2 H+ + 2eOXIDATION ANODE Overall reaction is reduction of Cu2+ by H2 gas. Cu2+ (aq) + H2(g) ---> Cu(s) + 2 H+(aq) Measured Eo = +0.34 V Therefore, Eo for Cu2+ + 2e- ---> Cu is Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Cu/Cu2+ and H2/H+ Cell 34 Volts Cu + Salt Bridge H2 Cu2+ Cu2+ + 2eCu REDUCTION CATHODE • • • • H+ H2 2 H+ + 2eOXIDATION ANODE Overall reaction is reduction of Cu2+ by H2 gas. Cu2+ (aq) + H2(g) ---> Cu(s) + 2 H+(aq) Measured Eo = +0.34 V Therefore, Eo for Cu2+ + 2e- ---> Cu is • +0.34 V Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Cu/Cu2+ and H2/H+ Cell Volts Cu + Salt Bridge H2 Cu2+ Cu2+ + 2eCu REDUCTION CATHODE H+ H2 2 H+ + 2eOXIDATION ANODE • Eo for Cu2+ + 2e- ---> Cu is +0.34 V • Now we can calculate Eo for the Zn/Cu cell. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 35 Zn/Cu Electrochemical Cell wire elect rons Zn Anode, negative, source of electrons Zn2+ ions salt bridge Cu Cu2+ ions Cathode, positive, sink for electrons Zn(s) ---> Zn2+(aq) + 2eEo = +0.76 V Cu2+(aq) + 2e- ---> Cu(s) Eo = +0.34 V --------------------------------------------------------------Cu2+(aq) + Zn(s) ---> Zn2+(aq) + Cu(s) Eo (calc’d) = +1.10 V Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 36 Uses of Eo Values These experiments show we can a) decide on relative ability of elements to act as reducing agents (or oxidizing agents) b) assign a voltage to a half-reaction that reflects this ability. wire elect rons Zn Zn2+ ions Copyright (c) 1999 by Harcourt Brace & Company All rights reserved salt bridge Cu Cu2+ ions 37 38 TABLE OF STANDARD POTENTIALS oxidizing ability of ion Eo (V) Cu2+ + 2e- Cu +0.34 2 H+ + 2e- H2 0.00 Zn2+ + 2e- Zn -0.76 Copyright (c) 1999 by Harcourt Brace & Company All rights reserved reducing ability of element 39 Standard Redox Potentials, Eo oxidizing ability of ion Eo (V) Cu2+ + 2e- Cu +0.34 2 H+ + 2e- H2 0.00 Zn2+ + 2e- Zn -0.76 reducing ability of element Copyright (c) 1999 by Harcourt Brace & Company All rights reserved • Any substance on the right will reduce any substance higher than it on the left. • Zn can reduce H+ and Cu2+. • H2 can reduce Cu2+ but not Zn2+ • Cu cannot reduce H+ or Zn2+. 40 Using Standard Potentials, Eo • See Table 21.1 or Screen 21.6. • Which is the best oxidizing agent: O2, H2O2, or Cl2? _________________ • Which is the best reducing agent: Hg, Al, or Sn? ____________________ • In which direction does the following reaction go? Cu(s) + 2 Ag+(aq) ---> Cu2+(aq) + 2 Ag(s) Copyright (c) 1999 by Harcourt Brace & Company All rights reserved o E for a Voltaic Cell Volts Cd Cd2+ Cd --> Cd2+ + 2eor Cd2+ + 2e- --> Cd Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Fe Salt Bridge Fe2+ Fe --> Fe2+ + 2eor Fe2+ + 2e- --> Fe 41 o E for a Voltaic Cell Volts Cd Fe Salt Bridge Cd2+ Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Fe2+ From the table, you see • Fe is a better reducing agent than Cd • Cd2+ is a better oxidizing agent than Fe2+ Overall reaction Fe + Cd2+ ---> Cd + Fe2+ Eo = +0.04 V 42 43 o E and D o G Eo is related to DGo, the free energy change for the reaction. o DG = -nF o E where F = Faraday constant = 9.6485 x 104 J/V•mol and n is the number of moles of electrons transferred Michael Faraday 1791-1867 Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 44 Michael Faraday 1791-1867 Originated the terms anode, cathode, anion, cation, electrode. Discoverer of • electrolysis • magnetic props. of matter • electromagnetic induction • benzene and other organic chemicals Was a popular lecturer. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Eo and DGo DGo = - n F Eo For a product-favored reaction Reactants ----> Products DGo < 0 and so Eo > 0 Eo is positive For a reactant-favored reaction Reactants <---- Products DGo > 0 and so Eo < 0 Eo is negative Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 45