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<strong>Chapter</strong> <strong>Learning</strong> <strong>Goals</strong> <strong>for</strong> Students<br />

<strong>CHAPTER</strong> <strong>17</strong><br />

<strong>ELECTROCHEMISTRY</strong><br />

Section <strong>17</strong>.1<br />

Sketch a galvanic cell, identifying the anode and cathode half-reactions, the sign of<br />

each electrode, and the direction of electron and ion flow.<br />

Write balanced chemical equations <strong>for</strong> reactions occurring in a galvanic cell.<br />

Section <strong>17</strong>.2<br />

Section <strong>17</strong>.3<br />

Section <strong>17</strong>.4<br />

Section <strong>17</strong>.5<br />

Section <strong>17</strong>.6<br />

Section <strong>17</strong>.7<br />

Section <strong>17</strong>.8<br />

Section <strong>17</strong>.9<br />

Section <strong>17</strong>.10<br />

Write and interpret shorthand notations <strong>for</strong> galvanic cells.<br />

Interconvert cell potential and free-energy change <strong>for</strong> a reaction.<br />

Use a table of standard reduction potentials to calculate standard cell potentials.<br />

Use a table of standard reduction potentials to rank substances in order of increasing<br />

oxidizing strength or reducing strength and to determine whether a reaction is<br />

spontaneous.<br />

Use the Nernst equation to calculate cell potentials <strong>for</strong> reactions occurring under<br />

nonstandard-state conditions.<br />

From a measured cell potential <strong>for</strong> a reaction involving hydrogen ion and a reference<br />

cell potential, calculate the pH of the solution.<br />

Calculate equilibrium constants from standard cell potentials and vice versa.<br />

SKIP Write balanced chemical equations <strong>for</strong> reactions occurring in common<br />

batteries.<br />

Compare fuel cells and batteries.<br />

SKIP Calculate standard potentials <strong>for</strong> fuel cells.<br />

Section <strong>17</strong>.11<br />

Section <strong>17</strong>.12<br />

Section <strong>17</strong>.13<br />

Section <strong>17</strong>.14<br />

SKIP Write balanced equations <strong>for</strong> the reactions that occur when iron rusts in the<br />

presence of Mg and in the absence of Mg.<br />

Describe half-cell and overall reactions occurring in electrolytic processes.<br />

SKIP Sketch electrochemical cells used in commercial applications of electrolysis.<br />

Per<strong>for</strong>m electrolytic cell calculations interconverting current and time, charge, moles<br />

of electrons, and moles (or grams) of product.<br />

163


<strong>Chapter</strong> <strong>17</strong>—Electrochemistry<br />

Lecture Outline<br />

<strong>17</strong>.1. Galvanic Cells 1<br />

A. Galvanic cell – a spontaneous chemical reaction generates an electric current<br />

B. Electrolytic cell – an electric current drives a nonspontaneous reaction<br />

C. Redox reaction<br />

1. Oxidation – a loss of electrons (an increase in oxidation number)<br />

2. Reduction – a gain of electrons (a decrease in oxidation number)<br />

3. Represent oxidation and reduction aspects of the reaction with half-reactions<br />

4. Oxidizing agent – species that causes oxidation to occur and is itself reduced<br />

5. Reducing agent – species that causes reduction to occur and is itself oxidized<br />

6. If a spontaneous reaction is carried out in a beaker:<br />

a. Oxidizing agent and reducing agent are in direct contact.<br />

b. Electrons are directly transferred.<br />

c. Enthalpy of reaction is lost to the surroundings <strong>for</strong> an exothermic reaction.<br />

7. If a spontaneous reaction is carried out in a galvanic cell – chemical energy released by the<br />

reaction is converted to electrical energy.<br />

D. For the reaction: Zn(s) + Cu 2+ (aq) → Zn 2+ (aq) + Cu(s)<br />

1. Use a Daniell cell, a type of galvanic cell, to carry out the reaction (textbook Figure 18.2).<br />

a. Consists of two half-cells<br />

i. A beaker with a strip of Zn in a solution of ZnSO 4<br />

ii. A beaker with a strip of Cu in a solution of CuSO 4<br />

b. Electrodes – strips of zinc and copper<br />

c. Salt bridge – a U-shaped tube that contains a gel permeated with a solution of an inert<br />

electrolyte<br />

2. The electrons can be transferred only through the wire.<br />

a. Oxidation and reduction half-reactions occur at separate electrodes.<br />

b. Electric current flows through the wire.<br />

3. Anode – the electrode at which oxidation takes place<br />

a. The negative (–) electrode<br />

b. Produces electrons<br />

4. Cathode – the electrode at which reduction takes place<br />

a. The positive (+) electrode<br />

b. Consumes electrons<br />

5. Anode and cathode half-reactions must add to give the overall cell reaction.<br />

6. Salt bridge maintains electrical neutrality by a flow of ions.<br />

a. Anions flow through the salt bridge from the cathode to the anode compartment.<br />

b. Cations migrate through the salt bridge from the anode to the cathode compartment.<br />

7. Electrons move through the external circuit from the anode to the cathode.<br />

<strong>17</strong>.2. Shorthand Notation <strong>for</strong> Galvanic Cells 2<br />

A. Single vertical line (|) represents a phase boundary.<br />

B. Double vertical line (||) represents a salt bridge.<br />

C. Shorthand <strong>for</strong> the anode half-cell is always written on the left of the salt-bridge symbol,<br />

followed on the right of the symbol by the shorthand <strong>for</strong> the cathode half-cell.<br />

1. Reactants in each half-cell are written first, followed by products.<br />

2. Electrons move through the external circuit from left to right.<br />

3. For Zn (s) + Cu 2+ (aq) → Zn 2+ (aq) + Cu(s):<br />

Zn(s) | Zn 2+ (aq) || Cu 2+ (aq) | Cu(s)<br />

D. Cell involving a gas<br />

1. Additional vertical line due to presence of additional phase<br />

1 Test Item File Questions: Multiple Choice 1-13, 101-106, 108-110, 112-115; Algorithmic 1-2; Short<br />

Answer 1<br />

2 Test Item File Questions: Multiple Choice 14-21, 107, 111, 116; Algorithmic 3-7; Short Answer 2<br />

164


<strong>Chapter</strong> <strong>17</strong>—Electrochemistry<br />

2. List the gas immediately adjacent to the appropriate electrode.<br />

E. Detailed notation includes ion concentrations and gas pressures.<br />

<strong>17</strong>.3. Cell Potentials and Free-Energy Changes <strong>for</strong> Cell Reactions 3<br />

A. Electromotive <strong>for</strong>ce (emf) – the driving <strong>for</strong>ce (electrical potential) that pushes the negatively<br />

charged electrons away from the anode and pulls them toward the cathode.<br />

1. Also called cell potential (E) or cell voltage<br />

2. Potential of a galvanic cell is a positive quantity.<br />

B. Coulomb (C) – amount of charge transferred when a current of 1 ampere (A) flows <strong>for</strong> 1 s.<br />

1 J = 1 C × 1 V<br />

C. Cell potential – measured with a voltmeter<br />

1. Gives a positive reading when the + and – terminals of the voltmeter are connected to<br />

cathode (+) and anode (–), respectively<br />

2. Can use voltmeter-cell connections to determine which electrode is the anode and which is<br />

the cathode<br />

D. Two driving <strong>for</strong>ces of a chemical reaction: cell potential, E and free-energy change, ΔG<br />

1. Related by ΔG = – nFE<br />

a. n = number of moles of electrons transferred in the reaction<br />

b. F (faraday) – the electrical charge on 1 mol of electrons<br />

c. 1 F = 96,500 C/mol e –<br />

2. ΔG and E have opposite signs.<br />

3. Spontaneous reaction has a positive cell potential but negative ΔG.<br />

E. Standard cell potential, E°– the cell potential when both reactants and products are in their<br />

standard states<br />

1. Solutes at 1 M concentration<br />

2. Gases at a partial pressure of 1 atm<br />

3. Solids and liquids in pure <strong>for</strong>m<br />

4. T = 25°C<br />

F. ΔG° = –nFE°<br />

<strong>17</strong>.4. Standard Reduction Potentials 4<br />

A. Standard cell potential is the sum of anode and cathode half-cell potentials.<br />

o<br />

E cell<br />

o<br />

= E anode<br />

o<br />

+ E cathode<br />

1. Potential of a single electrode not measurable<br />

2. Potential difference measured by placing a voltmeter between two electrodes<br />

3. Set of standard half-cell potentials developed<br />

a. Arbitrary standard half-cell chosen as reference point – assigned an arbitrary potential<br />

b. Potential of all other half-cells expressed relative to the reference half-cell<br />

B. Standard hydrogen electrode (S.H.E.) – reference half-cell<br />

1. Corresponding half-reaction – assigned an arbitrary potential of exactly 0 V<br />

2 H + (aq, 1 M) + 2 e – → H 2 (g, 1 atm) E o = 0.00 V<br />

2. Shorthand notation <strong>for</strong> S. H. E.<br />

H + (1 M) | H 2 (1 atm) | Pt(s)<br />

C. Standard potentials <strong>for</strong> half-cells determined by constructing a galvanic cell wth the half-cell of<br />

interest paired with the standard hydrogen electrode<br />

1. Standard oxidation potential – the corresponding half-cell potential <strong>for</strong> an oxidation halfreaction<br />

2. Standard reduction potential – the corresponding half-cell potential <strong>for</strong> a reduction halfreaction<br />

3.Whenever half-reaction is reversed, the sign of E o must be reversed.<br />

4. Standard oxidation potential and standard reduction potential always have the same<br />

magnitude but opposite signs.<br />

3 Test Item File Questions: Multiple Choice 22-28; Short Answer 3<br />

4 Test Item File Questions: Multiple Choice 29-34, 1<strong>17</strong>; Algorithmic 8; Short Answer 4<br />

165


<strong>Chapter</strong> <strong>17</strong>—Electrochemistry<br />

5. Table of standard reduction potentials – textbook Appendix D<br />

D. Conventions used in constructing a table of half-cell potentials<br />

1. Half-reactions written as reductions<br />

a. Oxidizing agents and electrons shown on reactant side<br />

b. Reducing agents shown on product side<br />

2. Half-cell potentials are standard reduction potentials, also known as standard electrode<br />

potentials.<br />

3. Half-reactions are listed in order of decreasing standard reduction potential.<br />

a. Strongest oxidizing agents are located in the upper left of the table.<br />

b. Strongest reducing agents are in the lower right of the table.<br />

4. Half-reaction ordering corresponds to ordering of oxidation reactions in the activity series.<br />

5. The more active metals at the top of the activity series have the more positive oxidation<br />

potential (more negative reduction potential).<br />

<strong>17</strong>.5. Using Standard Reduction Potentials 5<br />

A. Table of standard reduction potentials – summarizes much chemical in<strong>for</strong>mation<br />

1. Two or more oxidizing or reducing agents arranged in order of increasing strength<br />

2. Use to predict the spontaneity or nonspontaneity of thousands of redox reactions<br />

a. Combine half-reactions of interest and use<br />

o<br />

E cell<br />

o<br />

= E anode<br />

o<br />

+ E cathode<br />

b. May need to multiply half-reactions by some factor to ensure that electrons cancel<br />

c. Values of E° <strong>for</strong> the half-reactions not multiplied by that factor<br />

B. E° values independent of amount of reaction<br />

1. ΔG° = – nFE°<br />

2. ΔG° is an extensive property (depends on amount of substance).<br />

a. When amount of substance that reacts changes, ΔG° changes by the same amount as<br />

does n, the number of electrons transferred.<br />

b. But E° = – ΔG°/nF remains constant.<br />

C. Can predict reaction spontaneity by knowing the location of oxidizing and reducing agents in<br />

the table.<br />

1. An oxidizing agent can oxidize any reducing agent that lies below it in the table.<br />

2. E° <strong>for</strong> the overall reaction must be positive.<br />

<strong>17</strong>.6. Cell Potentials and Composition of the Reaction Mixture: The Nernst Equation 6<br />

A. Cell potentials depend on temperature and on the composition of the reaction mixture.<br />

1. ΔG = ΔG° + RT ln Q<br />

2. ΔG = – nFE; ΔG° = – nFE°<br />

3. – nFE = – nFE° + RT ln Q<br />

B. Nernst equation in volts at 25°C used to calculate cell potentials under nonstandard-state<br />

conditions<br />

E = E o ! 0.0592 log Q<br />

n<br />

<strong>17</strong>.7. Electrochemical Determination of pH 7<br />

A. Important application of Nernst equation<br />

1. Electrochemical determination of pH<br />

2. Measured by a pH meter<br />

B. Consider a cell with a hydrogen electrode anode and a second reference electrode cathode.<br />

1. Pt(s) | H 2 (1 atm) | H + (? M) || reference cathode<br />

2. E cell = 0.0592 pH + E ref<br />

3. pH is a linear function of the cell potential.<br />

5 Test Item File Questions: Multiple Choice 35-45; Algorithmic 9-12; Short Answer 5<br />

6 Test Item File Questions: Multiple Choice 46-56, 118-125; Algorithmic 13-15; Short Answer 6<br />

7 Test Item File Questions: Multiple Choice 57-62; Short Answer 7<br />

166


<strong>Chapter</strong> <strong>17</strong>—Electrochemistry<br />

pH = E cell ! E ref<br />

0.0592<br />

C. pH of a solution measured by measuring E cell<br />

D. Actual pH measurements use a glass electrode with a calomel electrode as the reference.<br />

<strong>17</strong>.8. Standard Cell Potentials and Equilibrium Constants 8<br />

A. Standard free-energy change <strong>for</strong> a reaction is related to both the standard cell potential and the<br />

equilibrium constant.<br />

1. ΔG° = – nFE°<br />

2. ΔG° = – RT ln K<br />

B. Combining the two equations:<br />

E o = RT<br />

nF<br />

ln K =<br />

2.303RT<br />

nF<br />

log K<br />

E o = 0.0592 log K<br />

n<br />

C. Most common use – calculating equilibrium constants from standard cell potentials<br />

D. Equilibrium constants <strong>for</strong> redox reactions tend to be either very large or very small in<br />

comparison with equilibrium constants <strong>for</strong> acid-base reactions.<br />

1. Positive value of E° corresponds to K > 1.<br />

2. Negative value of E° corresponds to K < 1.<br />

E. Three different ways to determine the value of an equilibrium constant K<br />

1. K from concentration data:<br />

K = [C]c [D] d<br />

[A] a [B] b<br />

2. K from thermochemical data:<br />

ln K = !"G o<br />

RT<br />

3. K from electrochemical data:<br />

ln K = nFE o<br />

RT<br />

<strong>17</strong>.9. Batteries 9<br />

A. Most important practical application of galvanic cells<br />

B. Battery features depend on application<br />

C. General features<br />

1. Compact and lightweight<br />

2. Physically rugged and inexpensive<br />

3. Provide a stable source of power <strong>for</strong> relatively long periods of time<br />

D. Lead storage battery<br />

1. Used as a reliable power source <strong>for</strong> starting automobiles <strong>for</strong> over 75 years<br />

2. 12 V battery – six 2 V cells connected in series<br />

3. Anode – series of grids packed with spongy lead<br />

4. Cathode – series of grids packed with lead dioxide, dipped into an aqueous solution of<br />

H 2 SO 4 (38% w/w)<br />

5. Electrode half-reactions and the overall cell reaction<br />

Anode: Pb(s) + HSO 4 – (aq) → PbSO 4 (s) + H + (aq) + 2 e –<br />

E° = 0.296 V<br />

Cathode: PbO 2 (s) + 3 H + (aq) + HSO 4 – (aq) + 2 e – → 2 PbSO 4 (s) + 2 H 2 O(l) E° = 1.628 V<br />

____________________________________________________________________________________________<br />

8 Test Item File Questions: Multiple Choice 63-67; Short Answer 8<br />

9 Test Item File Questions: Multiple Choice 68-76; Short Answer 9<br />

167


<strong>Chapter</strong> <strong>17</strong>—Electrochemistry<br />

Overall: Pb (s) + PbO 2 (s) + 2 H + (aq) + 2 HSO 4 – (aq) → 2 PbSO 4 (s) + 2 H 2 O(l)<br />

E° = 1.924 V<br />

6. PbSO 4 adheres to the surface of the electrodes.<br />

a. Recharge by using an external source of direct current to drive the cell reaction in the<br />

reverse, nonspontaneous direction<br />

E. Dry-cell batteries (Leclanché cells) – common household batteries<br />

1. Anode – Zn metal can<br />

2. Cathode – inert graphite rod surrounded by a paste of solid MnO 2 and carbon black<br />

3. Electrolyte – a moist paste of NH 4 Cl and ZnCl 2 in starch<br />

a. Surrounds the MnO 2 containing paste<br />

b. Acidic – causes corrosion of the Zn anode (Zn → Zn 2+ )<br />

4. Alkaline dry cell – modified version of Leclanché<br />

a. Replace NH 4 Cl (acidic) with NaOH or KOH<br />

b. Electrode reactions – oxidation of zinc and reduction of manganese dioxide<br />

i. Produces ZnO due to basic conditions<br />

ii. Zinc corrodes more slowly<br />

iii. Battery has a longer life<br />

c. Produces higher power and more stable current and voltage – more efficient ion<br />

transport in the alkaline electrolyte<br />

5. Mercury battery – used in watches, heart pacemakers, and other devices<br />

a. Small size<br />

b. Anode – Zn (same as dry cell)<br />

c. Cathode — steel in contact with HgO in an alkaline medium of KOH and Zn(OH) 2<br />

F. Nickel-cadmium batteries – used in calculators and portable power tools<br />

1. Rechargeable<br />

2. Anode – cadmium metal<br />

3. Cathode – NiO(OH) supported on nickel metal<br />

4. Solid products of electrode reaction adhere to the surface of the electrodes – allows battery<br />

to be recharged<br />

G. Nickel-metal hydride batteries – used in consumer electronic products and in hybrid gaselectric<br />

automobliles<br />

1. Less expensive than nickel-cadmium batteries<br />

2. Light weight<br />

3. Environmentally friendly<br />

4. Anode – metal alloy, LaNi 5<br />

5. Cathode – NiO(OH) supported on nickel metal<br />

H. Lithium-ion batteries – used in portable electronic products<br />

1. Li has a higher E o value <strong>for</strong> oxidation and lower atomic mass than any other metal.<br />

2. Anode – lithium metal or lithium atoms in a graphite electrode<br />

3. Cathode – metal oxide or metal sulfide that can incorporate Li +<br />

4. Electrolyte – lithium salt in an organic solvent<br />

5. Used in cell phones, laptop computers, and digital cameras, power tools, headlamps, hybrid<br />

electric cars<br />

<strong>17</strong>.10. Fuel Cells 10<br />

A. Fuel cell – a galvanic cell in which one of the reactants is a traditional fuel<br />

B. Reactants not self-contained within the cell – supplied from an external reservoir<br />

C. Hydrogen-oxygen fuel cell<br />

1. Best known<br />

2. Used in space vehicles as a source of electric power<br />

3. Porous carbon electrodes containing metallic catalysts<br />

4. Hot, aqueous KOH electrolyte<br />

5. Overall reaction<br />

10 Test Item File Questions: None<br />

168


<strong>Chapter</strong> <strong>17</strong>—Electrochemistry<br />

2 H 2 (g) + O 2 (g) → 2 H 2 O(l)<br />

D. Proton-exchange membrane (PEM) fuel cell<br />

1. Designed to power electric vehicles<br />

2. Similar to hydrogen-oxygen fuel cell, except KOH electrolyte replaced by a plastic<br />

membrane that conducts H + but not e –<br />

3. More environmentally friendly than the hydrogen–oxygen fuel cell<br />

E. Direct methanol fuel cell (DMFC)<br />

1. Similar to PEM fuel cell<br />

2. Uses aqueous CH 3 OH instead of gaseous H 2<br />

3. Lighter and higher energy density than conventional batteries<br />

4. Fuel is more readily available, safer, and easier to store than H 2<br />

<strong>17</strong>.11. Corrosion 11<br />

A. Corrosion – oxidative deterioration of a metal<br />

B. Well-known example of corrosion – conversion of iron to rust<br />

1. Requires both oxygen and water<br />

2. Involves pitting of the metal surface<br />

3. Rust is deposited at a location physically separated from the pits<br />

C. Proposed mechanism <strong>for</strong> <strong>for</strong>mation of rust – an electrochemical process in which iron is<br />

oxidized in one region of the surface and oxygen is reduced in another region<br />

1. Anode region: Fe(s) → Fe 2+ (aq) + 2 e – E° = 0.45 V<br />

2. Cathode region: O 2 (g) + 4 H + (aq) + 4 e – → 2 H 2 O(l) E° = 1.23 V<br />

3. Electrons flow from anode to cathode through the metal.<br />

4. Ions migrate through the water droplets.<br />

a. Fe 2+ reacts with O 2 and is oxidized to Fe 3+<br />

b. Fe 3+ reacts with H 2 O to <strong>for</strong>m Fe 2 O 3 ⋅ xH 2 O(s) (rust)<br />

5. Dissolved salt in water greatly increases electrolyte conductivity.<br />

6. Explains why cars rust more rapidly when road salt is used to melt snow and ice<br />

7. O 2 able to oxidize all metals except a few – O 2 /H 2 O half-reaction lies above the M n+ /M<br />

half-reaction<br />

D. Prevention of corrosion – shield the metal surface from oxygen and moisture<br />

1. Durable surface coating – metals such as chromium, tin, or zinc<br />

2. Galvanizing – coating by dipping into a bath of molten zinc<br />

3. Cathodic protection – protecting a metal from corrosion by connecting it to a second metal<br />

that is more easily oxidized<br />

<strong>17</strong>.12. Electrolysis and Electrolytic Cells 12<br />

A. Electrolytic cell – electric current used to drive a nonspontaneous reaction<br />

B. Processes occurring in galvanic and electrolytic cells are the reverse of each other.<br />

C. Electrolysis – the process of using an electric current to bring about chemical change<br />

D. Electrolytic cell<br />

1. Two electrodes in an electrolyte connected to a battery or some other source of direct<br />

electric current<br />

2. Battery – an electron pump, pushing electrons into one electrode and pulling them out of<br />

the other electrode<br />

3. Anode – electrode where oxidation takes place<br />

a. Positive sign<br />

b. Battery pulls electrons out of it<br />

4. Cathode – electrode where reduction takes place<br />

a. Negative sign<br />

b. Battery pushes electrons into it<br />

E. Electrolysis of molten NaCl<br />

1. Cathode – attracts Na +<br />

11 Test Item File Questions: Multiple Choice 77-81<br />

12 Test Item File Questions: Multiple Choice 82-88, 126-129<br />

169


<strong>Chapter</strong> <strong>17</strong>—Electrochemistry<br />

Na + + e – → Na(l)<br />

2. Anode – attracts Cl –<br />

2 Cl – → Cl 2 (g) + e –<br />

F. Electrolysis of aqueous NaCl<br />

1. Electrode reactions in an aqueous solution may differ from those <strong>for</strong> a molten salt.<br />

2. Cathode reaction can involve the reduction of Na + or the reduction of water.<br />

a. Reduction of water preferred – E o less negative <strong>for</strong> H 2 O than Na +<br />

b. 2 H 2 O(l) + 2 e – → H 2 (g) + 2 OH – (aq)<br />

3. Anode reaction can involve the oxidation of Cl – or the oxidation of water.<br />

a. Actual reaction – oxidation of Cl – due to overvoltage<br />

b. 2 Cl – (aq) → Cl 2 (g) + 2 e –<br />

4. Overvoltage – amount of voltage needed above the calculated standard reduction (or<br />

oxidation) potential <strong>for</strong> electrolysis to occur<br />

a. Needed when the half-reaction has a substantial barrier <strong>for</strong> electron transfer (slow rate)<br />

i. Surmounts barrier<br />

ii. Reaction proceeds at satisfactory rate.<br />

b. Small overvoltage needed <strong>for</strong> solution <strong>for</strong> deposition of metals<br />

c. Large overvoltage needed <strong>for</strong> <strong>for</strong>mation of O 2 or H 2<br />

d. Can’t predict – need experimental evidence if cell potentials are similar<br />

5. Overall cell reaction<br />

2 Cl – (aq) + 2 H 2 O(l) → Cl 2 (g) + 2 H 2 (g) + 2 OH – (aq)<br />

6. Na + is a spectator ion and reacts with the OH – to <strong>for</strong>m NaOH<br />

G. Electrolysis of water<br />

1. Electrolysis of any aqueous solution requires the presence of an electrolyte to carry the<br />

current in solution.<br />

2. If the ions of the electrolyte are less easily oxidized and reduced than water is, then water<br />

will react at both electrodes.<br />

3. Anode: 2 H 2 O(l) → O 2 (g) + 4 H + (aq) + 4 e –<br />

4. Cathode: 4 H 2 O(l) + 4 e – → 2 H 2 (g) + 4 OH – (aq)<br />

5. Overall cell reaction:<br />

2 H 2 O(l) → O 2 (g) + 2 H 2 (g)<br />

<strong>17</strong>.13. Commercial Applications of Electrolysis 13<br />

A. Manufacture of sodium<br />

1. Produced commercially in a Downs cell by electrolysis of a molten mixture of NaCl and<br />

CaCl 2<br />

2. Liquid Na produced at the cylindrical steel cathode is less dense than the molten salt and<br />

thus floats to the top part of the cell, where it is drawn off into a suitable container.<br />

B. Manufacture of chlorine and sodium hydroxide<br />

1. Electrolysis of aqueous NaCl<br />

2. Basis of chlor-alkali industry<br />

3. Anode and cathode electrolysis reactions of aqueous NaCl carried out in a membrane cell<br />

4. Membrane keeps Cl 2 and OH – apart but allows a current of Na + to flow.<br />

C. Manufacture of aluminum<br />

1. Hall–Heroult process<br />

2. Electrolysis of a molten mixture of Al 2 O 3 and cryolite (Na 3 AlF 6 ) at 1000 o C in a cell with<br />

graphite electrodes<br />

3. Success of process – use of cryolite as a solvent<br />

4. Electrode reactions involve the <strong>for</strong>mation of complex ions.<br />

a. Ions are reduced at the cathode to produce Al(l).<br />

b. Ions are oxidized at the anode to produce O 2 (g).<br />

i. O 2 (g) reacts with the graphite electrode to produce CO 2 (g)<br />

ii. Requires frequent replacement of the anodes<br />

13 Test Item File Questions: Multiple Choice 89-92<br />

<strong>17</strong>0


<strong>Chapter</strong> <strong>17</strong>—Electrochemistry<br />

5. Largest single consumer of electricity in the U.S.<br />

6. One mole of electrons produces only 9 g of Al.<br />

D. Electrorefining – purification of a metal by means of electrolysis<br />

E. Electroplating – coating of one metal on the surface of another using electrolysis<br />

1. Cathode – object to be plated (carefully cleaned)<br />

2. Electrolytic cell contains a solution of ions of the metal to be deposited.<br />

<strong>17</strong>.14. Quantitative Aspects of Electrolysis 14<br />

A. Amount of substance produced at an electrode by electrolysis depends on the quantity of charge<br />

passed through the cell.<br />

B. Follows directly from the stoichiometry of the reaction and the atomic mass of the product.<br />

C. Moles of electrons passed through a cell are determined from the electric current and the time<br />

that the current flows.<br />

Moles of e – 1 mol e–<br />

= charge (C) !<br />

96,500 C<br />

D. Sequence of conversion used to calculate the mass or volume of product produced by passing a<br />

known current <strong>for</strong> a fixed period of time.<br />

Current × time → Charge → Moles of e – → Moles of product → Grams of liters of product<br />

1. Current in amperes (A)<br />

2. Time in seconds (s)<br />

3. Charge in coulombs (C)<br />

E. Think of electrons as reactants in a balanced equation, and proceed as with any other<br />

stoichiometry problem.<br />

14 Test Item File Questions: Multiple Choice 93-98; Algorithmic 16-19; Short Answer 10<br />

<strong>17</strong>1


<strong>Chapter</strong> <strong>17</strong>—Electrochemistry<br />

<strong>CHAPTER</strong> <strong>17</strong><br />

<strong>ELECTROCHEMISTRY</strong><br />

Teaching Tips, Points of Emphasis, and Common Misconceptions<br />

Section <strong>17</strong>.1<br />

Section <strong>17</strong>.1<br />

Section <strong>17</strong>.3<br />

Section <strong>17</strong>.3<br />

Section <strong>17</strong>.3<br />

Section <strong>17</strong>.3<br />

Section <strong>17</strong>.4<br />

Section <strong>17</strong>.4<br />

Section <strong>17</strong>.5<br />

Section <strong>17</strong>.5<br />

Section <strong>17</strong>.6<br />

Anions flow through the salt bridge into the anode compartment while cations flow<br />

into the cathode compartment to maintain electroneutrality.<br />

The anode of a galvanic cell is negative (like an anion), and the cathode is positive<br />

(like a cation). Electrons move from the negative anode through an external circuit<br />

to the positive cathode.<br />

The driving <strong>for</strong>ce of a cell reaction, measured in volts and called cell voltage, cell<br />

potential, or electromotive <strong>for</strong>ce, is a function of the natural tendency of one<br />

substance to lose electrons and of a second substance to gain electrons. The greater<br />

these tendencies, the higher the cell voltage.<br />

When a chemical equation is balanced by the half-reaction method, the number of<br />

electrons that occur on both sides of the balanced equation (be<strong>for</strong>e canceling) is<br />

equal to the value of n.<br />

For a spontaneous reaction, ΔG is negative but E is positive.<br />

Standard conditions <strong>for</strong> E o , the standard cell potential, are identical with standard<br />

conditions <strong>for</strong> ΔG o , ΔH o , and ΔS o .<br />

Every reduction half-cell reaction has a corresponding standard reduction potential,<br />

E o red. If the reaction is reversed, it becomes an oxidation half-cell with a<br />

corresponding standard oxidation half-cell potential, E o ox. For any given half-cell<br />

reaction, E o ox = –E o red.<br />

The more positive the half-cell potential, the greater the tendency <strong>for</strong> the reaction to<br />

occur as written. The more negative the half-cell potential, the greater the tendency<br />

<strong>for</strong> the reverse reaction to occur.<br />

Half-cell potentials are never multiplied by a coefficient when used in the equation<br />

E o cell = E o ox + E o red.<br />

When predicting whether a reaction is spontaneous using Table <strong>17</strong>.1, some students<br />

find it useful to circle the two potential reactants and connect them with a line. If the<br />

line has a negative slope, the reaction is spontaneous; if the line has a positive slope,<br />

the reaction is nonspontaneous. If both potential reactants are on the same side of<br />

the arrows, no reaction can occur because an oxidation requires a simultaneous<br />

reduction.<br />

The general <strong>for</strong>m of the Nernst equation is used to correct the standard cell potential<br />

<strong>for</strong> concentrations other than 1 M, partial pressures other than 1 atm, or a<br />

temperature other than 25 o C. This <strong>for</strong>m of the Nernst equation applies only to<br />

reactions occurring at 25 o C.<br />

Section <strong>17</strong>.7 The Nernst equation relates the concentration of any chemical species, including H + ,<br />

to cell potential. This relationship is utilized in a pH meter which measures a cell<br />

potential and displays its value in terms of pH.<br />

<strong>17</strong>2


<strong>Chapter</strong> <strong>17</strong>—Electrochemistry<br />

Section <strong>17</strong>.8<br />

Section <strong>17</strong>.9<br />

Section <strong>17</strong>.10<br />

Section <strong>17</strong>.11<br />

Section <strong>17</strong>.11<br />

Section <strong>17</strong>.12<br />

Section <strong>17</strong>.12<br />

Section <strong>17</strong>.13<br />

The more positive the standard cell potential, the larger the value of the equilibrium<br />

constant, and the farther the equilibrium lies to the right.<br />

A multicell battery is comprised of galvanic cells wired in series, so the battery<br />

voltage equals the sum of the voltages of the individual cells.<br />

Although many metals react more readily than iron to <strong>for</strong>m oxides, their oxides<br />

provide a protective coating against further corrosion. The corrosion product of iron<br />

(“rust”) flakes off and exposes a fresh surface to further corrosion.<br />

In an electrolytic cell a constant input of energy from an external direct current (dc)<br />

source, such as a battery, is used to drive a nonspontaneous reaction. The voltage of<br />

the battery must be more positive than the absolute value of the voltage <strong>for</strong> the<br />

electrolysis reaction.<br />

Overvoltage is additional voltage that must be applied in excess of the calculated<br />

voltage to initiate an electrolytic reaction. It is most important <strong>for</strong> those systems<br />

involving gases that impede the flow of electrons between electrode surfaces and<br />

reactants in solution.<br />

This procedure and the Hall–Heroult process discussed below are examples of<br />

commercial uses of a colligative property (freezing point depression) to enable<br />

electrolytic reactions to be carried out more economically.<br />

Originally, chlorine was a useless byproduct of this process. The search <strong>for</strong> uses of<br />

chlorine resulted in many commercial chlorinated compounds, including plastic film<br />

used to wrap food.<br />

Stress the use of this flowchart along with the dimensional analysis method of<br />

problem solving.<br />

Overhead Transparencies<br />

Section <strong>17</strong>.1 T-<strong>17</strong>2 Figure <strong>17</strong>.1 Reaction of zinc metal with aqueous Cu 2+<br />

Section <strong>17</strong>.1 T-<strong>17</strong>3 Figure <strong>17</strong>.2a A Daniell cell<br />

Section <strong>17</strong>.4 T-<strong>17</strong>4 Figure <strong>17</strong>.4 A galvanic cell with Cu 2+ /Cu and standard hydrogen<br />

electrodes<br />

Section <strong>17</strong>.9 T-<strong>17</strong>5 Figure <strong>17</strong>.8 A lead storage battery<br />

Section <strong>17</strong>.10 T-<strong>17</strong>6 Figure <strong>17</strong>.11 A hydrogen–oxygen fuel cell<br />

Section <strong>17</strong>.11 T-<strong>17</strong>7 Figure <strong>17</strong>.12 An electrochemical mechanism <strong>for</strong> corrosion of iron<br />

Section <strong>17</strong>.11 T-<strong>17</strong>8 Figure <strong>17</strong>.13 Cathodic protection<br />

Section <strong>17</strong>.13 T-<strong>17</strong>9 Figure <strong>17</strong>.15 A Downs cell <strong>for</strong> production of sodium and chlorine<br />

Section <strong>17</strong>.13 T-180 Figure <strong>17</strong>.16 A membrane cell <strong>for</strong> production of chlorine and sodium<br />

hydroxide<br />

Section <strong>17</strong>.13 T-181 Figure <strong>17</strong>.<strong>17</strong> An electrolytic cell used in the Hall–Heroult process<br />

<strong>17</strong>3


<strong>Chapter</strong> <strong>17</strong>—Electrochemistry<br />

Section <strong>17</strong>.13 T-182 Figure <strong>17</strong>.18 Electrorefining of copper metal<br />

Section <strong>17</strong>.4 T-183 Table <strong>17</strong>.1 Standard reduction potentials at 25 °C<br />

Appendix F T-184 Concept map <strong>Chapter</strong> <strong>17</strong> Key Concept Summary<br />

Lecture/Laboratory Demonstration References<br />

Section <strong>17</strong>.1<br />

Section <strong>17</strong>.4<br />

Section <strong>17</strong>.11<br />

Section <strong>17</strong>.12<br />

Lee R. Summerlin, Christie L. Borg<strong>for</strong>d, and Julie B. Ealy, “Visible Oxidation-<br />

Reduction in Electrochemical Cells,” Chemical Demonstrations, A Sourcebook <strong>for</strong><br />

Teachers, Vol. 2 (American Chemical Society, Washington, DC, 1988), pp. 205-206.<br />

J. J. Fortman and R. Battino, “Determining the Metal Activity Series Using a Potato<br />

Porcupine,” J. Chem. Educ., Vol. 70, 1993, 939. Pieces of metal are inserted into a<br />

potato. A voltmeter is attached to a given metal and a copper reference electrode.<br />

With the potato serving as a salt bridge and source of electrolytes, the observed cell<br />

potentials are used to rank the metals in an activity series.<br />

Bassam Z. Shakhashiri, “Electrolytic Cells in Series: A Red, White, and Blue<br />

Electrolysis,” Chemical Demonstrations, A Handbook <strong>for</strong> Teachers of Chemistry,<br />

Vol. 4 (The University of Wisconsin Press, Madison, 1992) pp.<strong>17</strong>0-<strong>17</strong>3.<br />

Lee R. Summerlin, Christie L. Borg<strong>for</strong>d, and Julie B. Ealy, “Electroplating Copper,”<br />

Chemical Demonstrations, A Sourcebook <strong>for</strong> Teachers, Vol. 2 (American Chemical<br />

Society, Washington, DC, 1988), pp. 199-200.<br />

Literature References<br />

Section <strong>17</strong>.1 Ron DeLorenzo, “Electrochemical Errors,” J. Chem. Educ., Vol. 62, 1985, 424-425.<br />

Section <strong>17</strong>.1<br />

Section <strong>17</strong>.5<br />

Section <strong>17</strong>.9<br />

Section <strong>17</strong>.9<br />

Section <strong>17</strong>.10<br />

Penelope Ann Huddle, Margaret Dawn White, and Fiona Rogers, “Using a Teaching<br />

Model to Correct Known Misconceptions in Electrochemistry,” J. Chem. Educ., Vol.<br />

77, 2000, 104-110.<br />

Richard S. Treptow, “Dental Filling Discom<strong>for</strong>ts Illustrate Electrochemical<br />

Potentials of Metals,” J. Chem. Educ., Vol. 55, 1978, 189.<br />

Michael J. Smith and Colin A. Vincent, “Structure and Content of Some Primary<br />

Batteries,” J. Chem. Educ., Vol. 78, 2001, 519-521.<br />

Gerald Ondrey, Charlene Crabb, and Takeshi Kamiya, “Batteries: Full Speed<br />

Ahead,” Chem. Eng., Vol. 106 (2), 1999, 47-51.<br />

A. I. Onuchukwu, “Evaluation of Corrosion Susceptibility of a Metal: Student<br />

Corrosion Experiment II,” J. Chem. Educ., Vol. 65, 1988, 934.<br />

Media References<br />

Section <strong>17</strong>.1<br />

Section <strong>17</strong>.1<br />

Oxidation–Reduction Reactions Part 2 movie from Instructor’s Resource CD/DVD<br />

Voltaic Cells 1: The Copper–Zinc Cell movie from Instructor’s Resource CD/DVD<br />

<strong>17</strong>4


<strong>Chapter</strong> <strong>17</strong>—Electrochemistry<br />

Section <strong>17</strong>.2<br />

Section <strong>17</strong>.3<br />

Section <strong>17</strong>.4<br />

Section <strong>17</strong>.5<br />

Section <strong>17</strong>.6<br />

Section <strong>17</strong>.8<br />

Section <strong>17</strong>.11<br />

Section <strong>17</strong>.12<br />

Section <strong>17</strong>.13<br />

Shorthand Notation <strong>for</strong> Galvanic Cells activity from Instructor’s Resource CD/DVD<br />

Redox Chemistry of Iron and Copper movie from Instructor’s Resource CD/DVD<br />

Voltaic Cells II: The Zinc–Hydrogen Cell movie from Instructor’s Resource<br />

CD/DVD<br />

Standard Reduction Potentials movie from Instructor’s Resource CD/DVD<br />

Nernst Equation activity from Instructor’s Resource CD/DVD<br />

Equilibrium Constant activity from Instructor’s Resource CD/DVD<br />

Corrosion activity from Instructor’s Resource CD/DVD<br />

Electrolysis of Water movie from Instructor’s Resource CD/DVD<br />

Electroplating movie from Instructor’s Resource CD/DVD<br />

<strong>17</strong>5

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