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AP Chemistry Chapter 20 Outline 20 Electrochemistry 20.1 Oxidation States 20.1.1 Summary of rules for assigning oxidation numbers: 20.1.1.1 Uncombined elements have an oxidation number of 0. 20.1.1.2 For monatomic ions, the ion charge is the oxidation number. 20.1.1.3 In compounds, hydrogen usually has an oxidation number of +1 20.1.1.3.1 In metal hydrides, hydrogen has an oxidation number of -1. 20.1.1.4 In compounds, oxygen usually has an oxidation number of -2. 20.1.1.4.1 In peroxides, oxygen has an oxidation number of -1. 20.1.1.4.2 In a binary compound with fluorine, oxygen has an oxidation number of +2. 20.1.1.5 In compounds, fluorine always has an oxidation number of -1. 20.1.1.6 The sum of the oxidation numbers is 0 for a neutral compound 20.1.1.7 For a polyatomic ion, the sum of the oxidation numbers is the charge of the ion. 20.1.2 Redox reaction = reaction in which oxidation numbers change 20.1.2.1 If one substance loses electrons, another substance must gain electrons 20.1.3 Oxidation = loss of electrons 20.1.3.1 When a substance is oxidized, its oxidation number increases 20.1.4 Reduction = gain of electrons 20.1.4.1 When a substance is reduced, its oxidation number decreases. 20.1.4.2 LEO the lion says GER, or OIL RIG 20.1.5 The species that is oxidized is the REDUCING AGENT 20.1.6 The species that is reduced is the OXIDIZING AGENT 20.2 Balancing oxidation-reduction reactions 20.2.1 Both mass and charge must be conserved. 20.2.1.1 Use “half reactions”, i.e., write out the oxidation step and the reduction step separately 20.2.1.2 The number of electrons lost must equal the number of electrons gained. 20.2.2 Balancing redox reactions 20.2.2.1 Write skeletons for the oxidation and reduction half reactions. 20.2.2.2 For each half reaction, BE SURE YOU CAN DO THIS! 20.2.2.2.1 Balance the elements other than H and O. 20.2.2.2.2 Add H2O to balance O atoms. 20.2.2.2.3 Add H+ to balance H atoms. 20.2.2.2.4 Add e- to balance charge; the sum of the charges should be the same on both sides. 20.2.2.3 Multiply the half-reactions by integers to equal the numbers of electrons in both half reactions. 20.2.2.4 Add the two half-reactions and simplify. 20.2.2.5 If balancing in basic conditions, then add OH- to neutralize any H+ and simplify. 20.3 Voltaic Cells (aka galvanic cells) 20.3.1 The energy released in a spontaneous redox reaction can be used to perform electrical work. 20.3.1.1 Physically separate the reduction half from the oxidation half to create a flow of electrons through an external circuit. 20.3.2 electrode = strip of solid metal, connected to external circuit 20.3.2.1 anode = electrode where oxidation occurs 20.3.2.1.1 negative electrode (by convention) 20.3.2.1.2 during reaction, anode will lose mass (as metal turns into ions in solution) 20.3.2.2 cathode = electrode where reduction occurs 20.3.2.2.1 positive electrode (by convention) 20.3.2.2.2 during reduction, cathode will gain mass (as ions gaining electrons deposit on electrode) 20.3.2.3 AN OX RED CAT 20.3.3 half cell = a (metal) electrode immersed in a solution of its own ions 20.3.3.1 anode solution will become more concentrated during reaction 20.3.3.2 cathode solution will become less concentrated during reaction 20.3.3.3 Electrons travel from the anode through the external wire to the cathode. 20.3.3.4 Salt bridge = allows ions to move to maintain charge neutrality in both half-cells 20.3.3.4.1 Anions travel toward the anode 20.3.3.4.2 Cations travel toward the cathode 20.3.3.4.3 You need to be able to generate correctly labeled sketches of the components of a voltaic cell 20.4 Cell EMF under standard conditions 20.4.1 1 volt = 1 J/1 C (a couloumb is a mole of electrons) 20.4.2 Electrons flow from the anode to the cathode because of a difference in potential energy. 20.4.2.1 Potential energy of electrons is higher in the anode than in the cathode. 20.4.2.2 Electromotive force (EMF) = the potential difference that pushes electrons through the external circuit 20.4.2.3 Cell potential = the EMF of a voltaic cell = cell voltage = Ecell 20.4.2.4 For spontaneous reactions (i.e. voltaic cells), Ecell >0 20.4.2.5 Standard conditions = 1 M concentration, 1 atm (for gases), 25oC 20.4.3 Standard reduction potential = a measure of the tendency of a reduction half-reaction to occur, relative to a standard= Eo 20.4.3.1 Standard hydrogen electrode Eo = 0 by convention 20.4.3.2 The more positive the value of Eo, the greater the tendency of the reactant of the half-reaction to be reduced. 20.4.3.2.1 Higher Eo stronger oxidizing agent 20.4.3.3 The more negative the value of Eo, the less tendency for this reduction reaction to occur 20.4.3.3.1 i.e, the reverse, oxidation half-reaction becomes more likely! o 20.4.3.3.2 Lower E stronger reducing agent 20.4.3.4 Tabulated for many reduction half-reactions 20.4.3.5 Intensive property! Multiplying a half-reaction by a constant value does not change the value of Eo 20.4.4 To find Ecell, 20.4.4.1 Find half-reactions on table of standard reduction potentials 20.4.4.2 The reaction that is higher: keep as written (i.e., reduction) 20.4.4.2.1 This reaction occurs at the CATHODE 20.4.4.3 The reaction that is lower: reverse, and change the sign of Eo 20.4.4.3.1 This reaction occurs at the ANODE 20.4.5 The sum of the Eo values gives Ecell 20.4.5.1 The sum of the reactions (after equalizing the number of e- lost and gained) gives the overall reaction for the cell 20.5 Free energy and redox reactions 20.5.1 Any reaction that can occur in a voltaic cell to produce a positive EMF must be spontaneous. 20.5.1.1 A positive EMF value indicates a spontaneous process. 20.5.1.2 A negative EMF value indicates a non-spontaneous process. 20.5.2 KNOW THIS EQUATION! G o nFE o 20.5.2.1 n = the number of electrons transferred in the reaction 20.5.2.2 F = Faraday’s constant = the quantity of electrical charge on one mole of electrons = 96485 C/mol 20.6 Cell EMF under nonstandard conditions 20.6.1 As a battery runs, the reactant and product concentrations change. Eventually, the battery is “dead.” 20.6.1.1 A dead battery = a system at equilibrium 20.6.1.2 Cell EMF depends on reactant and product concentrations 20.6.2 Nernst equation 20.6.2.1 In general, if reactants increase relative to products, EMF increases 20.6.2.2 If products increase relative to reactants, EMF decreases 0.0592 0.0592 [ products] 20.6.2.3 KNOW THIS Ecell Eo log Q Eo log n n [reac tan ts] 20.6.3 Concentration cell = cell based solely on the EMF generated because of a difference in concentration 20.6.3.1 Basis for pH meters & function of nerve cells You are not expected to know sections 20.7 and 20.8 in any detail for the AP exam 20.9 Electrolysis 20.9.1 It is possible to use electrical energy to cause non-spontaneous redox reactions to occur. 20.9.1.1 Electrolysis reactions = reactions driven by an outside source of electrical energy 20.9.1.2 Ecell is < 0 20.9.2 Electrolytic cells consist of two electrodes in a molten salt or solution 20.9.2.1 Oxidation occurs at the anode 20.9.2.2 In electrolytic cells, the anode is the positive electrode 20.9.2.3 Reduction occurs at the cathode 20.9.2.3.1 In electrolytic cells, the cathode is the negative electrode 20.9.2.4 For a more detailed discussion of electrolysis reactions, go to the packet on electrolysis from the Ultimate Chemical Equations book. 20.9.3 Quantitative aspects of electrolyis 20.9.3.1 Couloumb = amperes x seconds 20.9.3.2 To calculate the quantities of substances involved in an electrolytic process: 1mole e 1mole metal gfm of metal 20.9.3.2.1 grams metal (amperes) (sec onds) 96485 C n e 1 mole n = number of electrons needed to go from cation to neutral atom for that metal Be able to do these calculations!