Chemistry Third Edition Julia Burdge Lecture PowerPoints Chapter 19 Electrochemistry Copyright © 2012, The McGraw-Hill Compaies, Inc. Permission required for reproduction or display. CHAPTER 19.1 19.2 19.3 19.4 19.5 19.6 19.7 19.8 19 Electrochemistry Balancing Redox Reactions Galvanic Cells Standard Reduction Potentials Spontaneity of Redox Reactions Under StandardState Conditions Spontaneity of Redox Reactions Under Conditions Other Than Standard State Batteries Electrolysis Corrosion 2 19.1 Balancing Redox Reactions Topics Balancing Redox Reactions 3 19.1 Balancing Redox Reactions Balancing Redox Reactions A redox reaction is one in which there are changes in oxidation states. 4 19.1 Balancing Redox Reactions Balancing Redox Reactions Consider the aqueous reaction of the iron(II) ion with the dichromate ion: • The reaction takes place in aqueous solution, so we can add H2O as needed to balance the equation. • This particular reaction takes place in acidic solution, so we can add H+ as needed to balance the equation. 5 19.1 Balancing Redox Reactions Balancing Redox Reactions 1. Separate the unbalanced reaction into half-reactions. A half-reaction is an oxidation or a reduction that occurs as part of the overall redox reaction. 6 19.1 Balancing Redox Reactions Balancing Redox Reactions 2. Balance each of the half-reactions with regard to atoms other than O and H. In this case, no change is required for the oxidation halfreaction. We adjust the coefficient of the chromium(III) ion to balance the reduction half-reaction. 7 19.1 Balancing Redox Reactions Balancing Redox Reactions 3. Balance both half-reactions for O by adding H2O. Again, the oxidation in this case requires no change, but we must add seven water molecules to the product side of the reduction. 8 19.1 Balancing Redox Reactions Balancing Redox Reactions 4. Balance both half-reactions for H by adding H+. Once again, the oxidation in this case requires no change, but we must add 14 hydrogen ions to the reactant side of the reduction. 9 19.1 Balancing Redox Reactions Balancing Redox Reactions 5. Balance both half-reactions for charge by adding electrons. 10 19.1 Balancing Redox Reactions Balancing Redox Reactions 6. Multiply one or both of the half-reactions by the number(s) required to make the number of electrons the same in both. 11 19.1 Balancing Redox Reactions Balancing Redox Reactions 7. Add the balanced half-reactions back together and cancel the electrons, in addition to any other identical terms that appear on both sides. 12 19.1 Balancing Redox Reactions Balancing Redox Reactions 8. For each H+ ion in the final equation, add one OH– ion to each side of the equation, combining the H+ and OH– ions to produce H2O. 9. Make any additional cancellations made necessary by the new H2O molecules. 13 SAMPLE PROBLEM 19.1 Permanganate ion and iodide ion react in basic solution to produce manganese(IV) oxide and molecular iodine. Use the half-reaction method to balance the equation: Setup 14 SAMPLE PROBLEM 19.1 Solution 15 SAMPLE PROBLEM 19.1 Solution 16 SAMPLE PROBLEM 19.1 Solution 17 SAMPLE PROBLEM 19.1 Solution 18 SAMPLE PROBLEM 19.1 Solution 19 SAMPLE PROBLEM 19.1 Solution 20 19.2 Galvanic Cells Topics Galvanic Cells 21 19.2 Galvanic Cells Galvanic Cells The experimental apparatus for generating electricity through the use of a spontaneous reaction is called a galvanic cell. 22 19.2 Galvanic Cells Galvanic Cells The zinc and copper bars are called electrodes. By definition, the anode in a galvanic cell is the electrode at which oxidation occurs and the cathode is the electrode at which reduction occurs. Each combination of container, electrode, and solution is called a half-cell. 23 19.2 Galvanic Cells Galvanic Cells To complete the electric circuit, and allow electrons to flow through the external wire, the solutions must be connected by a conducting medium through which the cations and anions can move from one half-cell to the other. This requirement is satisfied by a salt bridge . 24 19.2 Galvanic Cells Galvanic Cells Experimentally the difference in electrical potential between the anode and the cathode is measured by a voltmeter and the reading (in volts) is called the cell potential (Ecell). 25 19.3 Standard Reduction Potentials Topics Standard Reduction Potentials 26 19.3 Standard Reduction Potentials Standard Reduction Potentials The standard hydrogen electrode (SHE): 27 19.3 Standard Reduction Potentials Standard Reduction Potentials 28 19.3 Standard Reduction Potentials Standard Reduction Potentials 29 19.3 Standard Reduction Potentials Standard Reduction Potentials 30 SAMPLE PROBLEM 19.2 A galvanic cell consists of an Mg electrode in a 1.0 M Mg(NO3)2 solution and a Cd electrode in a 1.0 M Cd(NO3)2 solution. Determine the overall cell reaction, and calculate the standard cell potential at 25°C. Setup 31 SAMPLE PROBLEM 19.2 Solution 32 SAMPLE PROBLEM 19.3 Predict what redox reaction will take place, if any, when molecular bromine (Br2) is added to (a) a 1-M solution of NaI and (b) a 1-M solution of NaCl. (Assume a temperature of 25°C.) Setup 33 SAMPLE PROBLEM 19.3 Solution (a) Because the reduction potential of Br2 is greater than that of I2, Br2 will be reduced to Br– and I– will be oxidized to I2. Thus, the preceding reaction will occur. 34 SAMPLE PROBLEM 19.3 Solution (b) Because the reduction potential of Br2 is smaller than that of Cl2, this reaction will not occur. Cl2 is more readily reduced than Br2, so Br2 is not reduced by Cl–. 35 19.4 Spontaneity of Redox Reactions Under Standard-State Conditions Topics Spontaneity of Redox Reactions Under Standard-State Conditions 36 19.4 Spontaneity of Redox Reactions Under Standard-State Conditions Spontaneity of Redox Reactions Under Standard-State Conditions 37 19.4 Spontaneity of Redox Reactions Under Standard-State Conditions Spontaneity of Redox Reactions Under Standard-State Conditions 38 19.4 Spontaneity of Redox Reactions Under Standard-State Conditions Spontaneity of Redox Reactions Under Standard-State Conditions 39 SAMPLE PROBLEM 19.4 Calculate the standard free-energy change for the following reaction at 25°C: Setup 40 SAMPLE PROBLEM 19.4 Solution 41 SAMPLE PROBLEM 19.5 Calculate the equilibrium constant for the following reaction at 25°C: Setup 42 SAMPLE PROBLEM 19.5 Solution 43 19.5 Spontaneity of Redox Reactions Under Conditions Other Than Standard State Topics The Nernst Equation Concentration Cells 44 19.5 Spontaneity of Redox Reactions Under Conditions Other Than Standard State The Nernst Equation 45 19.5 Spontaneity of Redox Reactions Under Conditions Other Than Standard State The Nernst Equation The Nernst equation 46 SAMPLE PROBLEM 19.6 Predict whether the following reaction will occur spontaneously as written at 298 K: assuming [Co2+] = 0.15 M and [Fe2+] = 0.68 M. 47 SAMPLE PROBLEM 19.6 Setup 48 SAMPLE PROBLEM 19.6 Solution 49 19.5 Spontaneity of Redox Reactions Under Conditions Other Than Standard State Concentration Cells Because electrode potential depends on ion concentrations, it is possible to construct a galvanic cell from two half-cells composed of the same material but differing in ion concentrations. Such a cell is called a concentration cell. 50 19.5 Spontaneity of Redox Reactions Under Conditions Other Than Standard State 51 19.5 Spontaneity of Redox Reactions Under Conditions Other Than Standard State Concentration Cells 52 SAMPLE PROBLEM 19.7 An electrochemical cell is constructed for the purpose of determining the Ksp of silver cyanide (AgCN) at 25°C. One half-cell consists of a silver electrode in a 1.00-M solution of silver nitrate. The other half-cell consists of a silver electrode in a saturated solution of silver cyanide. The cell potential is measured and found to be 0.470 V. Determine the concentration of silver ion in the saturated silver cyanide solution and the value of Ksp for AgCN. 53 SAMPLE PROBLEM 19.7 Setup Because this is a concentration cell, E°cell = 0 V. The reaction quotient, Q, is (x M)/(1.00 M); and the value of n is 1. 54 SAMPLE PROBLEM 19.7 Solution 55 19.6 Batteries Topics Dry Cells and Alkaline Batteries Lead Storage Batteries Lithium-Ion Batteries Fuel Cells 56 19.6 Batteries Dry Cells and Alkaline Batteries A battery is a galvanic cell, or a series of connected galvanic cells, that can be used as a portable, self-contained source of direct electric current. A dry cell, so named because it has no fluid component . 57 19.6 Batteries Dry Cells and Alkaline Batteries 58 19.6 Batteries Lead Storage Batteries 59 19.6 Batteries Lead Storage Batteries Unlike dry cells and alkaline batteries, the lead storage battery is rechargeable. 60 19.6 Batteries Lithium-Ion Batteries The overall cell potential is 3.4 V, which is relatively large. 61 19.6 Batteries Fuel Cells To generate electricity, heat produced by the reaction is first used to convert water to steam, which then drives a turbine, which then drives a generator. A significant fraction of the energy released in the form of heat is lost to the surroundings at each step . 62 19.6 Batteries Fuel Cells Greater efficiency can be accomplished by a device known as a fuel cell, a galvanic cell that requires a continuous supply of reactants to keep functioning. Strictly speaking, a fuel cell is not a battery because it is not self-contained. 63 19.6 Batteries Fuel Cells 64 19.6 Batteries Fuel Cells 65 19.6 Batteries Fuel Cells 66 19.7 Electrolysis Topics Electrolysis of Molten Sodium Chloride Electrolysis of Water Electrolysis of an Aqueous Sodium Chloride Solution Quantitative Applications of Electrolysis 67 19.7 Electrolysis Electrolysis of Molten Sodium Chloride The process of using electric energy to drive a nonspontaneous chemical reaction is called electrolysis. An electrolytic cell is one used to carry out electrolysis. 68 19.7 Electrolysis Electrolysis of Molten Sodium Chloride 69 19.7 Electrolysis Electrolysis of Molten Sodium Chloride 70 19.7 Electrolysis Electrolysis of Water 71 19.7 Electrolysis Electrolysis of Water 72 19.7 Electrolysis Electrolysis of an Aqueous Sodium Chloride Solution The reductions that might occur at the cathode are 73 19.7 Electrolysis Electrolysis of an Aqueous Sodium Chloride Solution The oxidations that might occur at the anode are 74 19.7 Electrolysis Electrolysis of an Aqueous Sodium Chloride Solution The standard reduction potentials of the two reactions are not very different, but the values do suggest that the oxidation of H2O should occur more readily. 75 19.7 Electrolysis Electrolysis of an Aqueous Sodium Chloride Solution However, by experiment we find that the gas produced at the anode is Cl2, not O2. In the study of electrolytic processes, we sometimes find that the voltage required for a reaction is considerably higher than the electrode potentials would indicate. The overvoltage is the difference between the calculated voltage and the actual voltage required to cause electrolysis. The overvoltage for O2 formation is quite high. Under normal operating conditions, therefore, Cl2 gas forms at the anode instead of O2. 76 19.7 Electrolysis Electrolysis of an Aqueous Sodium Chloride Solution Thus, the half-cell reactions in the electrolysis of aqueous sodium chloride are 77 19.7 Electrolysis Quantitative Applications of Electrolysis If we know the current and how long it is applied, we can calculate the charge. Knowing the charge enables us to determine the number of moles of electrons. And knowing the number of moles of electrons allows us to use stoichiometry to determine the number of moles of product. 78 19.7 Electrolysis Quantitative Applications of Electrolysis Consider an electrolytic cell in which molten CaCl2 is separated into its constituent elements, Ca and Cl2. Suppose a current of 0.452 A is passed through the cell for 1.50 h. How much product will be formed at each electrode? 79 19.7 Electrolysis Quantitative Applications of Electrolysis 80 SAMPLE PROBLEM 19.8 A current of 1.26 A is passed through an electrolytic cell containing a dilute sulfuric acid solution for 7.44 h. Write the half-cell reactions, and calculate the volume of gases generated at STP. Setup 81 SAMPLE PROBLEM 19.8 Solution 82 SAMPLE PROBLEM 19.8 Solution 83 19.8 Corrosion Topics Corrosion 84 19.8 Corrosion Corrosion The term corrosion generally refers to the deterioration of a metal by an electrochemical process. 85 19.8 Corrosion Corrosion The Fe2+ ions formed at the anode are further oxidized by oxygen as follows: 86 19.8 Corrosion Corrosion 87 19.8 Corrosion Corrosion Coinage metals such as copper and silver also corrode, but much more slowly than either iron or aluminum: Copper forms a layer of copper carbonate (CuCO3), a green substance referred to as patina, that protects the metal underneath from further corrosion. Likewise, silverware that comes into contact with foodstuffs develops a layer of silver sulfide (Ag2S). 88 19.8 Corrosion Corrosion An iron container can be covered with a layer of another metal such as tin or zinc. A “tin” can is made by applying a thin layer of tin over iron. Rust formation is prevented as long as the tin layer remains intact. However, once the surface has been breached by a scratch or a dent, rusting occurs rapidly. 89 19.8 Corrosion Corrosion 90 19.8 Corrosion Corrosion Zinc-plating, or galvanization, protects iron from corrosion by a different mechanism. Zinc is more easily oxidized than iron. Like aluminum, zinc oxidizes to form a protective coating. Even when the zinc layer is compromised, though, and the underlying iron is exposed, zinc is still the more easily oxidized of the two metals and will act as the anode. Iron will be the cathode, thereby remaining reduced. 91 19.8 Corrosion Corrosion Galvanization is one example of cathodic protection, the process by which a metal is protected by being made the cathode in what amounts to a galvanic cell. Another example is the use of zinc or magnesium bars to protect underground storage tanks and ships. When a steel tank or hull is connected to a more easily oxidized metal, corrosion of the steel is prevented. 92