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Electrochemistry Chapter 21 Electrochemistry and Redox Oxidation-reduction: “Redox” Electrochemistry: study of the interchange between chemical change and electrical work Electrochemical cells: systems utilizing a redox reaction to produce or use electrical energy Redox Review Redox reactions: electron transfer processes Oxidation: Reduction: loss of 1 or more egain of 1 or more e- Oxidation numbers: imaginary charges (Balancing redox reactions) Oxidation Numbers (O.N.) 1.Pure element O.N. is zero 2.Monatomic ion O.N. is charge 3.Neutral compound: sum of O.N. is zero Polyatomic ion: sum of O.N. is ion’s charge *Negative O.N. generally assigned to more electronegative element Oxidation Numbers (O.N.) 4.Hydrogen assigned +1 (metal hydrides, -1) 5.Oxygen assigned -2 (peroxides, -1; OF2, +2) 6.Fluorine always -1 Oxidation-reduction Oxidation is loss of eO.N. increases (more positive) Reduction is gain of eO.N. decreases (more negative) Oxidation involves loss Reduction involves gain OIL RIG Redox Oxidation is loss of ecauses reduction “reducing agent” Reduction is gain of ecauses oxidation “oxidizing agent” Balancing Redox Reactions 1. Write separate equations (half-reactions) for oxidation and reduction 2. For each half-reaction a. Balance elements involved in e- transfer b. Balance number e- lost and gained 3.To balance emultiply each half-reaction by whole numbers Balancing Redox Reactions: Acidic 4.Add half-reactions/cancel like terms (e-) 5. Acidic conditions: Balance oxygen using H2O Balance hydrogen using H+ Basic conditions: Balance oxygen using OHBalance hydrogen using H2O 6.Check that all atoms and charges balance Examples Acidic conditions: MnO 4(aq) 2 Fe(aq) 2 Mn (aq) acid 3 Fe(aq) Basic conditions: Ag (s) CN(aq) O2(g) Ag(CN) 2(aq) base Types of cells Voltaic (galvanic) cells: a spontaneous reaction generates electrical energy Electrolytic cells: absorb free energy from an electrical source to drive a nonspontaneous reaction Common Components Electrodes: conduct electricity between cell and surroundings Electrolyte: mixture of ions involved in reaction or carrying charge Salt bridge: completes circuit (provides charge balance) Electrodes Anode: Oxidation occurs at the anode Cathode: Reduction occurs at the cathode Active electrodes: participate in redox Inactive: sites of ox. and red. Voltaic (Galvanic) Cells A device in which chemical energy is changed to electrical energy. Uses a spontaneous reaction. 17_360 e– e– e– e– Porous disk Oxidation e– (a) Reducing agent Anode Reduction Oxidizing agent (b) e– Cathode Zn2+(aq) + Cu(s) Cu2+(aq) + Zn(s) Zn gives up electrons to Cu — “pushes harder” on e— greater potential energy — greater “electrical potential” Spontaneous reaction due to — relative difference in metals’ abilities to give e— ability of e- to flow Cell Potential Cell Potential / Electromotive Force (EMF): The “pull” or driving force on electrons Measured voltage (potential difference) E cell work or electrical potential energy J V unit of charge moved C 17_363 e– e– Zn(s) e– Ecell = +1.10 V + Zn 2 – SO 4 2 1.0 M Zn 2 solution Anode e– + Cu 2 – SO 4 2 + + 1.0 M Cu 2 solution Cathode Cu(s) Cell Potential, E0cell E0cell cell potential under standard conditions elements in standard states (298 K) solutions: 1M gases: 1 atm Standard Reduction Potentials E0 values for reduction half-reactions with solutes at 1M and gases at 1 atm Cu2+ + 2e Cu E0 = 0.34 V vs. SHE SO42 + 4H+ + 2e H2SO3 + H2O E0 = 0.20 V vs. SHE E0cell and DG0 E0cell > 0 DG0 < 0 Spontaneous E0cell < 0 DG0 > 0 Not E0cell = 0 DG0 = 0 Equilibrium Calculating E0cell E0cell = E0cathode - E0anode Br2(aq)+2V3+ +2H2O(l) 2VO2+(aq)+ 4H+(aq)+ 2Br-(aq) Given: E0cell = +1.39 V E0Br2 = +1.07 V What is E0V3+ and is the reaction spontaneous? E0 values More positive: Stronger oxidizing agent More readily accepts e- More negative: Stronger reducing agent More readily gives eStronger R.A. + O.A. Weaker R.A. + O.A. Free Energy and Cell Potential wmax DG nFE 0 n: F: number of moles of eFaraday’s constant 96485 C mol of e- 0 DG0, E0, and K DG RTlnK nFE RT 0 so E lnK nF 0 At equilibrium: At 298 K: DG0 = 0 and K = Q 0.0592 E logK n 0 0 Nernst Equation Under nonstandard conditions DG DG RTlnQ 0 nFE nFE RTlnQ 0 E cell RT E lnQ nF 298K E cell 0.0592 E lnQ n 0 0 Concentration Cells . . . a cell in which both compartments have the same components but at different concentrations 17_366 e– e– e– Porous disk e– Ag Ag 0.1 M Ag + – 0.1 M NO 3 Anode 1 M Ag + – 1 M NO 3 Cathode 17_369 Reference solution of dilute hydrochloric acid Silver wire coated with silver chloride Thin-walled membrane Batteries A battery is a galvanic cell or, more commonly, a group of galvanic cells connected in series. Fuel Cells Galvanic cells Reactants are continuously supplied. 2H2(g) + O2(g) 2H2O(l) anode: cathode: 2H2 + 4OH 4H2O + 4e 4e + O2 + 2H2O 4OH Corrosion Some metals, such as copper, gold, silver and platinum, are relatively difficult to oxidize. These are often called noble metals. Electrolysis Forcing a current through a cell to produce a chemical change for which the cell potential is negative. 17_378 Electrodes of graphite rods To external power source Carbon dioxide formed at the anodes Carbon-lined iron tank Molten Al 2O3/Na 3AlF 6 mixture Molten aluminum Plug Stoichiometry How much chemical change occurs with the flow of a given current for a specified time? current and time quantity of charge moles of electrons moles of analyte grams of analyte