Chemistry: Structure and Properties Third Edition Lecture Presentation Chapter 19 Electrochemistry Copyright © 2024 Pearson Education, Inc. All Rights Reserved Oxidation–Reduction (Redox) • Reactions where electrons are transferred from one atom to another are called oxidation–reduction reactions. – Redox reactions for short • Atoms that lose electrons are being oxidized; atoms that gain electrons are being reduced. • Increase in oxidation state is oxidation; decrease in oxidation state is reduction. 2 Na(s ) + Cl2 (g ) ¾¾ ® 2 Na +Cl- (s ) Na ¾¾ ® Na+ + 1 e – oxidation, Na is going from 0 to +1 oxidation state Cl2 + 2 e – ¾¾ ® 2Cl– reduction, Cl is going from 0 to -1 oxidation state Copyright © 2024 Pearson Education, Inc. All Rights Reserved Oxidation and Reduction • Oxidation is the process that occurs when – the oxidation number of an element increases; – an element loses electrons; – a compound adds oxygen; – a compound loses hydrogen; or – a half-reaction has electrons as products. • Reduction is the process that occurs when – the oxidation number of an element decreases; – an element gains electrons; – a compound loses oxygen; – a compound gains hydrogen; or – a half-reaction has electrons as reactants. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Half-Reactions • The redox reaction is split into two separate half-reactions. – An oxidation reaction The oxidation half-reaction has electrons as products. – A reduction reaction The reduction half-reaction has electrons as reactants. 3 Cl2 + I- + 3 H2 O ¾¾ ® 6 Cl- + I O3 - + 6 H+ 0 -1 +1 -2 -1 +5 -2 Oxidation: I- ¾¾ ® IO3 - + 6 e - (unbalanced) Reduction: Cl2 + 2 e – ¾¾ ® 2Cl– +1 (unbalanced) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Balancing Redox Reactions by the Half-Reaction Method • In this method, the reaction is broken down into two half-reactions, one for oxidation and another for reduction. • Each half-reaction includes electrons. – Electrons go on the product side of the oxidation half-reaction—loss of electrons. – Electrons go on the reactant side of the reduction half-reaction—gain of electrons. • Each half-reaction is balanced for its atoms first, then for charge via electrons. • Then, the two half-reactions are adjusted so that the electrons lost and gained will be equal when combined. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Balancing Redox Reactions 1. Assign oxidation states by determining the element oxidized and the element reduced. 2. Write oxidation and reduction half-reactions, including electrons. a) Oxidation electrons should be on the right and reduction electrons on the left of the arrow. 3. Balance half-reactions by mass. a) First balance elements other than H and O. b) Add H2O where O is needed. c) Add H+ where H is needed. d) If the reaction is carried out in a basic solution, neutralize H+ with OH- . 4. Balance half-reactions: a) Balance charge by adjusting electrons. b) Balance electrons between half-reactions. 5. Add half-reactions together. 6. Check by counting atoms and total charge on both sides. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Balancing Redox HalfReactions in an Acidic Environment (1 of 9) Example 19.1 Half-Reaction Method of Balancing Aqueous Redox Equations in Acidic Solution Balance the redox equation. Al(s ) + Cu2+ (aq ) ® Al3+ (aq ) + Cu(s ) Procedure For… Half-Reaction Method of Balancing Aqueous Redox Equations in Acidic Solution General Procedure Solution Step 1 Assign oxidation states to all atoms and identify the substances being oxidized and reduced. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Balancing Redox HalfReactions in an Acidic Environment (2 of 9) Step 2 Separate the overall reaction into two half-reactions: one for oxidation and one for reduction. Oxidation: Al(s ) ® Al3+ (aq ) Reduction: Cu2+ (aq ) ® Cu(s ) Step 3 Balance each half-reaction with respect to mass in the following order: • Balance all elements other than H and O. • Balance O by adding H2O. • Balance H by adding H+ . All elements are balanced, so proceed to the next step. Step 4 Balance each half-reaction with respect to charge by adding electrons. (Make the sum of the charges on both sides of the equation equal by adding as many electrons as necessary.) Al(s ) ® Al3+ (aq ) + 3 e 2 e - Cu2+ (aq ) ® Cu(s ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Balancing Redox HalfReactions in an Acidic Environment (3 of 9) Step 5 Make the number of electrons in both half-reactions equal by multiplying one or both half-reactions by a small whole number. 2[Al(s ) ® Al3+ (aq ) + 3 e - ] 2 Al(s ) ® 2 Al3+ (aq ) + 6 e 3[2 e - Cu2+ (aq ) ® Cu(s )] 6 e - + 3 Cu2+ (aq ) ® 3 Cu(s ) Step 6 Add the two half-reactions together, canceling electrons and other species as necessary. 2 Al(s ) ¾¾ ® 2 Al3 + (aq ) + 6e 6e - + 3 Cu2 + (aq ) ¾¾ ® 3 Cu(s) 2+ 2 Al(s) + 3 Cu (aq ) ¾¾ ® 2 Al3 + (aq ) + 3 Cu(s ) Step 7 Verify that the reaction is balanced with respect to both mass and charge. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Balancing Redox HalfReactions in an Acidic Environment (4 of 9) Reactants Products 2 AI 2 AI 3 Cu 3 Cu 6+ Charge 6+ Charge For Practice 19.1 Balance the redox reaction in acidic solution. H+ (aq ) + Cr(s ) ® H2 (g ) + Cr 2+ (aq ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Balancing Redox HalfReactions in an Acidic Environment (5 of 9) Example 19.3 Balancing Redox Reactions Occurring in Basic Solution Balance the equation occurring in basic solution. I- (aq ) + MnO4- (aq ) ® I2 (aq ) + MnO2 (s ) Solution To balance redox reactions occurring in basic solution, follow the half-reaction method outlined in Examples 19.1 and 19.2, but add an extra step to neutralize the acid with OH- as shown in Step 3 of this example. 1. Assign oxidation states. 2. Separate the overall reaction into two half-reactions. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Balancing Redox HalfReactions in an Acidic Environment (6 of 9) Oxidation: I (aq ) ® I2 (aq ) Reduction: MnO-4 (aq ) ® MnO2 (s ) 3. Balance each half-reaction with respect to mass: (a) Balance all elements other than H and O. (b) Balance O by adding H2O. (c) Balance H by adding H+ . (d) Neutralize H+ by adding enough OH- to neutralize each H+ . Add the same number of OH- ions to each side of the equation. Adjust the mole of H2O. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Balancing Redox HalfReactions in an Acidic Environment (7 of 9) (a) ìï2 I- (aq ) ¾¾ ® I2 (aq ) í ® MnO2 (s ) ïîMnO4 (aq ) ¾¾ (b) ìï2 I- (aq ) ¾¾ ® I2 (aq ) í ® MnO2 (s ) + 2 H2O( l ) ïîMnO4 (aq ) ¾¾ (c) ìï2 I- (aq ) ¾¾ ® I2 (aq ) í + ® MnO2 ( s) + 2 H2O( l ) ïî4 H (aq ) + MnO 4 (aq ) ¾¾ (d) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Balancing Redox HalfReactions in an Acidic Environment (8 of 9) 4. Balance each half-reaction with respect to charge. 2 I- (aq ) ® I2 (aq ) + 2 e 4 H2O(I ) + MnO 4- (aq ) + 3 e - ® MnO2 (s ) + 2 H2O(I ) + 4 OH- (aq ) 5. Make the number of electrons in both half-reactions equal. 3[2 I- (aq ) ® I2 (aq ) + 2 e - ] 6 I- (aq ) ® 3 I2 (aq ) + 6 e 2 [4 H2O(I ) + MnO 4- (aq ) + 3 e - ® MnO2 (s ) + 2 H2O(I ) + 4 OH- (aq )] 8 H2O(I ) + 2 MnO 4- (aq ) + 6 e - ® 2 MnO2 (s ) + 4 H2O(I ) + 8 OH- (aq ) 6. Add the half-reactions together. 6I- (aq ) ¾¾ ® 3I2 (aq ) + 6e 4 8 g-H2O(l ) + 2MnO -4 (aq ) + 6e - ¾¾ ® 2MnO2 (s ) + 4H2q ( l ) + 8OH- (aq ) 6 I- (aq ) + 4H2O(l ) + 2MnO 4- (aq ) ¾¾ ® 3I2 (aq ) + 2MnO2 ( s) + 8OH- (aq ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Balancing Redox HalfReactions in an Acidic Environment (9 of 9) 7. Verify that the reaction is balanced. Reactants Products 6I 6I 8H 8H 2 Mn 2 Mn 12 O 12 O -8 Charge -8 Charge minus 8 charge 8 minus charge For Practice 19.3 Balance the following redox reaction occurring in basic solution. CIO- (aq ) + Cr(OH)-4 (aq ) ® CrO24- (aq ) + CI- (aq ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electrochemistry • Electrochemistry is the study of redox reactions that produce or require an electric current. • The conversion between chemical energy and electrical energy is carried out in an electrochemical cell. • Spontaneous redox reactions take place in a voltaic cell. – Also known as a galvanic cell. • Nonspontaneous redox reactions can be made to occur in an electrolytic cell by the addition of electrical energy. Copyright © 2024 Pearson Education, Inc. All Rights Reserved A Spontaneous Redox Reaction: Zn(s ) + Cu2+ (aq ) ® Zn2+ (aq ) + Cu(s ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Voltaic (Galvanic) Cells: Spontaneous Redox Reactions • Electrical current: The amount of electric charge that passes a point in a given period of time – Whether as electrons flowing through a wire or as ions flowing through a solution. • Redox reactions involve the movement of electrons from one substance to another. – Therefore, redox reactions have the potential to generate an electric current. • A spontaneous redox reaction does not require external energy to proceed. – The reaction’s DG is negative. • Voltaic (galvanic) cells produce an electrical current from spontaneous redox reactions. – To use that current, we need to separate the place where oxidation is occurring from the place where reduction is occurring. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electrochemical Cells • Oxidation and reduction half-reactions are kept separate in half-cells of an electrochemical cell. • To constitute an electrical circuit: – Electrons flow through a wire along with ions (electrolyte) flowing through a solution via the salt bridge. • The flow of electrons requires a conductive solid electrode to allow the transfer of electrons either through: – An external circuit or – Metal or graphite electrode • An electrochemical cell requires the exchange of ions between the two half-cells of the system via a salt bridge. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Voltaic Cell (1 of 2) The salt bridge is required to complete the circuit and maintain charge balance. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Voltage and Current • Voltage is the difference in potential energy between the reactants and products. It is also called the potential difference. – Unit = volt = potential energy per unit of charge • 1 V = 1J / C – The voltage needed to drive electrons through the external circuit • The amount of force pushing the electrons through the wire is called the electromotive force, emf. • Current is the number of electrons that flow through the system per second. Unit = ampere • 1 A of current = 1 coulomb of charge flowing per second • Electrode surface area dictates the number of electrons that can flow. – Larger batteries produce larger currents. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Cell Potential • The difference in potential energy between the anode and the cathode in a voltaic cell is called the cell potential. • The cell potential depends on the relative ease with which the oxidizing agent is reduced at the cathode and the reducing agent is oxidized at the anode. • The cell potential under standard conditions is called the standard emf, E °cell. – 25 °C, 1 atm for gases, 1 M concentration of solution – Sum of the cell potentials for the half-reactions Copyright © 2024 Pearson Education, Inc. All Rights Reserved Voltaic Cell (2 of 2) Cathode = Cu(s ) Anode = Zn(s ) The anode is oxidized to Zn2+ ions. Cu2+ ions are reduced at the cathode. Zn(s ) | Zn2+ (aq ) || Cu2+ (aq ) | Cu(s ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.1 (1 of 2) Which statement best captures the difference between volts and amps? (a) The volt is a unit that quantifies the difference in electrical potential energy, and the amp is a unit that quantifies the flow of electrical current. (b) The amp is a unit that quantifies the difference in electrical potential energy, and the volt is a unit that quantifies the flow of electrical current. (c) The volt and amp are two different units to measure the same thing, the flow of electrical current Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.1 (2 of 2) Which statement best captures the difference between volts and amps? (a) The volt is a unit that quantifies the difference in electrical potential energy, and the amp is a unit that quantifies the flow of electrical current. (b) The amp is a unit that quantifies the difference in electrical potential energy, and the volt is a unit that quantifies the flow of electrical current. (c) The volt and amp are two different units to measure the same thing, the flow of electrical current Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electrodes of an Electrochemical Cell • Anode – Electrode where oxidation occurs – Anions attracted to it – Connected to positive end of battery in an electrolytic cell – Loses weight in electrolytic cell • Cathode – Electrode where reduction occurs – Cations attracted to it – Connected to negative end of battery in an electrolytic cell – Gains weight in electrolytic cell Electrode where plating takes place in electroplating Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electrodes • Typically, – the anode is made of the metal that is oxidized; and – the cathode is made of the same metal as is produced by the reduction. • If the redox reaction we are running involves the oxidation or reduction of an ion to a different oxidation state, or the oxidation or reduction of a gas, we may use an inert electrode. – An inert electrode is one that does not participate in the reaction but just provides a surface for the transfer of electrons to take place on. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.2 (1 of 2) In a voltaic cell, in which direction do electrons flow? (a) From higher potential energy to lower potential energy (b) From the cathode to the anode (c) From lower potential energy to higher potential energy Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.2 (2 of 2) In a voltaic cell, in which direction do electrons flow? (a) From higher potential energy to lower potential energy (b) From the cathode to the anode (c) From lower potential energy to higher potential energy Copyright © 2024 Pearson Education, Inc. All Rights Reserved Cell Notation • Shorthand description of a voltaic cell is written as follows: electrode electrolyte electrolyte electrode – Oxidation half-cell is on the left; reduction half-cell is on the right. – Single line vertical (|) indicates a phase barrier § If multiple electrolytes are in same phase, a comma is used rather than a single vertical line § Often use an inert electrode (|). – Double vertical line (||) separate the two half-reactions. • Example: Zn(s ) | Zn2+ (aq ) || Cu2+ (aq ) | Cu(s ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electrochemical Cell Notation with an Inert Electrode The half-reaction involves reducing Mn oxidation state from +7 to +2. An inert electrode (Pt) will provide a surface for the electron transfer without reacting with the MnO-4 . Fe(s )| Fe2+ (aq ) || MnO-4 (aq ), Mn2+ (aq ), H+ (aq ) |Pt(s ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Standard Reduction Potential • The potential of a half-reaction cannot be measured directly. – Only the potential relative to another half-reaction can be measured. • To overcome this limitation, a standard half-reaction for the reduction of H+ to H2 is selected and assigned a potential difference of 0 V. – Standard hydrogen electrode, SHE Copyright © 2024 Pearson Education, Inc. All Rights Reserved Half-Cell Potentials • SHE reduction potential is defined to be exactly 0 V. – Standard reduction potentials compare the tendency for a particular reduction half-reaction to occur relative to the reduction of H+ to H2 . • Half-reactions with a stronger tendency toward reduction than the SHE have a positive E°. • Half-reactions with a stronger tendency toward oxidation than the SHE have a negative E °. • Cell potential for any electrochemical cell is ° ° ° Ecell = Ecat - Ean • Cell potential is positive for spontaneous reactions and negative for nonspontaneous reactions. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Cell Potential (E °) E naught • A half-reaction with a strong tendency to occur has a large positive half-cell potential. • When two half-cells are connected, the electrons will flow so that the half-reaction with the stronger tendency will occur. – Electrons flow from anode to cathode. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Which Way Will Electrons Flow? • Under standard conditions, zinc has a stronger tendency to oxidize than copper. – Electrons flow from anode to cathode. – Therefore, the electrons flow from zinc, making zinc the anode. Zn ® Zn2+ + 2 e - E °ox = + 0.76 V Cu ® Cu2+ + 2 e- E°ox = - 0.34 V Copyright © 2024 Pearson Education, Inc. All Rights Reserved Tendencies from the Table of Standard Reduction Potentials • A redox reaction will be spontaneous when there is a strong tendency for the oxidizing agent to be reduced and the reducing agent to be oxidized. – Higher on the table of standard reduction potentials = stronger tendency for the reactant to be reduced. – Lower on the table of standard reduction potentials = stronger tendency for the product to be oxidized. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Table of Standard Reduction Potentials Copyright © 2024 Pearson Education, Inc. All Rights Reserved Calculating Cell Potentials under Standard Conditions • Cell potentials are intensive properties of matter. – Because cell potentials are intensive physical properties, when determining the cell potential, do not multiply the half-cell E° values, even if you need to multiply the half-reactions to balance the redox equation. • The cell potential of an electrochemical cell (E°cell ) is the difference between the electrode potential of the cathode and that of the anode. • Cell potentials can be determined using the following equation: E °cell = E °cathode (reduction) - E °anode (oxidation) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Calculating Standard Potentials for Electrochemical Cells from Half-Reactions (1 of 4) Example 19.4 Calculating Standard Potentials for Electrochemical Cells from Standard Electrode Potentials of the Half-Reactions Use tabulated standard electrode potentials to calculate the standard cell potential for this reaction occurring in an electrochemical cell at 25 °C. (The equation is balanced.) Al(s ) + NO3 - (aq ) + 4 H+ (aq ) ® Al3+ (aq ) + NO(g ) + 2 H2O(l ) Solution Begin by separating the reaction into oxidation and reduction half-reactions. (In this case, you can readily see that Al(s) is oxidized. In cases where it is not so apparent, you may want to assign oxidation states to determine the correct half-reactions.) Oxidation: Al(s ) ® Al3+ (aq ) + 3 e - Reduction: NO3 - (aq ) + 4 H+ (aq ) +3 e - ® NO(g ) + 2 H2O(l ) Look up the standard electrode potentials for each half-reaction in Table 19.1. Add the half-cell reactions together to obtain the overall redox equation. Calculate the standard cell potential by subtracting the electrode potential of the anode from the electrode potential of the cathode. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Calculating Standard Potentials for Electrochemical Cells from Half-Reactions (3 of 4) Oxidation (Anode): Reduction (Cathide); Al(s ) ® Al3+ (aq ) + 3 e- E° = -1.66 V NO3 - (aq ) + 4 H+ (aq ) + 3 e - ® NO(g ) + 2 H2O(l ) E ° = 0.96 V Al(s ) + NO3 - (aq ) + 4 H+ (aq ) ® Al3+ (aq ) + NO(g ) + 2 H2O(l ) E °cell = E °cat - E °an = 0.96 V - ( -1.66 V) = 2.62 V Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Calculating Standard Potentials for Electrochemical Cells from Half-Reactions (4 of 4) For Practice 19.4 Use tabulated standard electrode potentials to calculate the standard cell potential for this reaction occurring in an electrochemical cell at 25 °C. (The equation is balanced.) 3 Pb2+ (aq ) + 2 Cr(s ) ® 3Pb(s ) + 2 Cr 3+ (aq ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.3 (1 of 2) An electrode has a negative electrode potential. Which statement is correct regarding the potential energy of an electron at this electrode? (a) An electron at this electrode has a lower potential energy than it has at a standard hydrogen electrode. (b) An electron at this electrode has a higher potential energy than it has at a standard hydrogen electrode. (c) An electron at this electrode has the same potential energy as it has at a standard hydrogen electrode. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.3 (2 of 2) An electrode has a negative electrode potential. Which statement is correct regarding the potential energy of an electron at this electrode? (a) An electron at this electrode has a lower potential energy than it has at a standard hydrogen electrode. (b) An electron at this electrode has a higher potential energy than it has at a standard hydrogen electrode. (c) An electron at this electrode has the same potential energy as it has at a standard hydrogen electrode. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Predicting Spontaneity of Redox Reactions • A spontaneous reaction will take place when a reduction half-reaction is paired with an oxidation half-reaction lower on the table. – If paired the other way, the reverse reaction is spontaneous. • When E°cell is – positive, the redox reaction of the cell is spontaneous ( DG° will be negative). Zn(s ) + Cu2+ (aq ) ® Zn2+ (aq ) + Cu(s ) • When spontaneous reaction E°cell is – negative, the redox reaction of the cell is nonspontaneous ( DG° will be positive). Cu(s ) + Zn2+ (aq ) ® Cu2+ (aq ) + Zn(s ) Cu2+ (aq ) + 2 e - ® Cu(s ) Zn2+ (aq ) + 2 e - ® Zn(s ) nonspontaneous reaction E °red = + 0.34 V E °red = - 0.76 V Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Predicting Spontaneous Redox Reactions and Sketching an Electrochemical Cell (1 of 5) Example 19.5 Predicting Spontaneous Redox Reactions and Sketching Electrochemical Cells Without calculating E °cell , predict whether each of these redox reactions is spontaneous (when the reactants and products are in their standard states). If the reaction is spontaneous as written, make a sketch of the electrochemical cell in which the reaction could occur. If the reaction is not spontaneous as written, write an equation for the direction in which the spontaneous reaction occurs and sketch the corresponding electrochemical cell. In your sketches, make sure to label the anode (which should be drawn on the left), the cathode, and the direction of electron flow. a. Fe(s ) + Mg2+ (aq ) ® Fe2+ (aq ) + Mg(s ) b. Fe(s ) + Pb2+ (aq ) ® Fe2+ (aq ) + Pb(s ) Solution a. Fe(s ) + Mg2+ (aq ) ® Fe2+ (aq ) + Mg(s ) This reaction involves the reduction of Mg2+ . Copyright © 2024 Pearson Education, Inc. All Rights Reserved Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Predicting Spontaneous Redox Reactions and Sketching an Electrochemical Cell (3 of 5) Mg2+ (aq ) + 2 e - ® Mg(s ) E ° = -2.37V Fe(s ) ® Fe2+ (aq ) + 2 e - E ° = -0.45V and the oxidation of Fe: The magnesium half-reaction has the more negative electrode potential and therefore repels electrons more strongly and undergoes oxidation. The iron half-reaction has the more positive electrode potential and therefore attracts electrons more strongly and undergoes reduction. So the reaction as written is not spontaneous. (The reaction pairs the reduction of Mg2+ with the reverse of a half-reaction above it in Table 19.1—such pairings are not spontaneous.) For Practice 19.5 Are these redox reactions spontaneous under standard conditions? (a) Zn(s ) + Ni2 + (aq ) ¾¾ ® Zn2 + (aq ) + Ni(s ) (b) Zn(s) + Ca2 + (aq ) ¾¾ ® Zn2 + (aq ) + Ca(s ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Predicting Spontaneous Redox Reactions and Sketching an Electrochemical Cell (4 of 5) However, the reverse reaction is spontaneous: Fe2+ (aq ) + Mg(s ) ® Fe(s ) + Mg2+ (aq ) The corresponding electrochemical cell is shown in Figure 19.9. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Predicting Spontaneous Redox Reactions and Sketching an Electrochemical Cell (5 of 5) This reaction involves the reduction of Pb2 + and the oxidation of Fe: Pb2 + (aq ) + 2e - ¾¾ ® Pb(s) E ° = -0.13 V Fe(s ) ® Fe2+ (aq ) + 2 e - E ° = -0.45V The iron half-reaction has the more negative electrode potential and therefore repels electrons more strongly and undergoes oxidation. The lead half-reaction has the more positive electrode potential and therefore attracts electrons more strongly and undergoes reduction. So the reaction as written is not spontaneous. For Practice 19.5 Are these redox reactions spontaneous under standard conditions? (a) Zn(s ) + Ni2 + (aq ) ¾¾ ® Zn2 + (aq ) + Ni(s ) (b) Zn(s) + Ca2 + (aq ) ¾¾ ® Zn2 + (aq ) + Ca(s ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.4 (1 of 2) A solution contains both NaI and NaBr. Which oxidizing agent could you add to the solution to selectively oxidize I- (aq ) but not (a) Cl2 (b) H2O2 (c) CuCl2 Br - (aq )? (d) HNO3 Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.4 (2 of 2) A solution contains both NaI and NaBr. Which oxidizing agent could you add to the solution to selectively oxidize I- (aq ) but not (a) Cl2 (b) H2O2 (c) CuCl2 Br - (aq )? (d) HNO3 Copyright © 2024 Pearson Education, Inc. All Rights Reserved Predicting whether a Metal Will Dissolve in an Acid • Metals dissolve in acids – If the reduction of H+ (aq ) is easier than the reduction of the metal – If their ion reduction reaction lies below H+ reduction on the table • Almost all metals will dissolve in HNO3 . Zn(s ) + 2H+ (aq ) ® Zn2 + (aq ) + H2 (g ) – Having N reduced rather than H+ – Au and Pt dissolve in HNO3 + HCI. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.5 (1 of 2) Which metal dissolves in HNO3 but not in HCl? (a) Fe (b) Au (c) Ag Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.5 (2 of 2) Which metal dissolves in HNO3 but not in HCl? (a) Fe (b) Au (c) Ag Copyright © 2024 Pearson Education, Inc. All Rights Reserved E °cell , DG °, and K E naught sub cell, delta G naught, and K • For a spontaneous reaction, one that proceeds in the forward direction with all substances in their standard states • – DG° < 1 (negative) – E ° > 1 (positive) – K >1 DG° = -RT ln K = -nFE°cell – n = the number of moles of electrons – F = Faraday’s constant = 96,485 C / mol e Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Relating DG ° and E °cell (1 of 4) delta G naught and E naught sub ce Example 19.6 Relating DG °and E °cell Use the tabulated electrode potentials to calculate DG° for the reaction. I2 (s ) + 2 Br - (aq ) ® 2 I- (aq ) + Br2 (l ) Is the reaction spontaneous under standard conditions? Sort You are given a redox reaction and asked to find Given I2 (s ) + 2 Br - (aq ) ® 2 I- (aq ) + Br2 (l ) Find DG° DG°. Strategize Refer to the values of electrode potentials in Table 19.1 to calculate Then use Equation 19.3 to calculate E°cell. DG° from E °cell. Conceptual Plan Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Relating DG ° and E °cell (2 of 4) delta G naught and E naught sub ce Table 19.1 Standard Electrode Potentials at 25 °C Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Relating DG ° and E °cell (3 of 4) delta G naught and E naught sub ce Solve Separate the reaction into oxidation and reduction half-reactions and find the standard electrode potentials for each. Determine E°cell by subtracting E °an from E °cat. Solution Calculate DG° from E °cell. The value of n (the number of moles of electrons) corresponds to the number of electrons that are canceled in the half-reactions. Remember that 1 V = 1 J / C. DG° = -nFE °cell æ 96,485 C ö æ Jö = -2 mol e- ç 0.55 ÷ ç C ÷ø è mol e ø è = +1.1´ 105 J Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Relating DG ° and E °cell (4 of 4) delta G naught and E naught sub ce Since DG° is positive, the reaction is not spontaneous under standard conditions. Check The answer is in the correct units (joules) and seems reasonable in magnitude ( » 110 kJ). You have seen (in Chapter 18) that values of DG° typically range from plus or minus tens to hundreds of kilojoules. The sign is positive, as expected for a reaction in which E °cell is negative. For Practice 19.6 Use tabulated electrode potentials to calculate DG° for the reaction. 2Na(s ) + 2 H2O(l ) ® H2 (g ) + 2 OH- (aq ) + 2 Na+ (aq ) Is the reaction spontaneous under standard conditions? Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.6 (1 of 2) Consider the result of Example 19.6. The calculation revealed that the reaction is not spontaneous. Based on conceptual reasoning which statement best explains why I2 does not oxidize Br -? (a) Br is more electronegative than I; therefore we do not expect Br - to give up an electron to I2 . (b) I is more electronegative than Br; therefore we do not expect I2 to give up an electron to Br - . (c) Br - is in solution and I2 is a solid. Solids do not gain electrons from substances in solution. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.6 (2 of 2) Consider the result of Example 19.6. The calculation revealed that the reaction is not spontaneous. Based on conceptual reasoning which statement best explains why I2 does not oxidize Br -? (a) Br is more electronegative than I; therefore we do not expect Br - to give up an electron to I2 . (b) I is more electronegative than Br; therefore we do not expect I2 to give up an electron to Br - . (c) Br - is in solution and I2 is a solid. Solids do not gain electrons from substances in solution. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Relating K and E °cell (1 of 4) K and E naught sub cell Example 19.7 Relating E °cell and K Refer to tabulated electrode potentials to calculate K for the oxidation of copper by H+ (at 25 ° C). Cu(s ) + 2 H+ (aq ) ® Cu2+ (aq ) + H2 (g ) Sort You are given a redox reaction and asked to find K. Given Cu(s ) + 2 H+ (aq ) ® Cu2+ (aq ) + H2 (g ) Find K Strategize Refer to the values of electrode potentials in Table 19.1 to calculate Then use Equation 19.6 to calculate E°cell. DG° from E °cell. Conceptual Plan Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Relating K and E °cell (2 of 4) K and E naught sub cell Table 19.1 Standard Electrode Potentials at 25 °C Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Relating K and E °cell (3 of 4) K and E naught sub cell Solve Separate the reaction into oxidation and reduction half-reactions and find the standard electrode potentials for each. Find E°cell by subtracting E °an from E °cat. Solution Calculate K from E°cell. The value of n (the number of moles of electrons) corresponds to the number of electrons that are canceled in the half-reactions. E °cell = 0.0592 V log K n log K = E °cell log K = -0.34 V n 0.0592 V 2 = -11.48 0.0592 V Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Relating K and E °cell (4 of 4) K and E naught sub cell K = 10-11.48 = 3.3 ´ 10 -12 Check The answer has no units, as expected for an equilibrium constant. The magnitude of the answer is small, indicating that the reaction lies far to the left at equilibrium, as expected for a reaction in which E°cell is negative. For Practice 19.7 Use the tabulated electrode potentials to calculate K for the oxidation of iron by H+ (at 25 ° C). 2 Fe(s ) + 6 H+ (aq ) ® 2Fe3+ (aq ) + 3 H2 (g ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.7 (1 of 2) A redox reaction has an equilibrium constant of K = .1.2 ´ 103 ° ° and Ecell for the Which statement is true regarding DGrxn reaction? ° ° (a) Ecell is positive and DGrxn is positive. (b) ° ° Ecell is negative. is negative and DGrxn ° ° (c) Ecell is positive and DGrxn is negative. ° ° (d) Ecell is positive. is negative and DGrxn Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.7 (2 of 2) A redox reaction has an equilibrium constant of K = .1.2 ´ 103 ° ° and Ecell for the Which statement is true regarding DGrxn reaction? ° ° (a) Ecell is positive and DGrxn is positive. (b) ° ° Ecell is negative. is negative and DGrxn ° ° (c) Ecell is negative. is positive and DGrxn ° ° (d) Ecell is positive. is negative and DGrxn Copyright © 2024 Pearson Education, Inc. All Rights Reserved Cell Potential at Concentration • There is a relationship between the reaction quotient, Q; the equilibrium constant, K; and the standard free energy change, DG°. • Changing the concentrations of the reactants and products so that they are not 1 M will affect the standard free energy change, DG°. • Because DG° determines the cell potential, Ecell , the voltage for the cell will be different when the ion concentrations are not 1 M. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Deriving the Nernst Equation DG = DG° + RT ln Q ( -) nFEcell = ( -) nFE °cell + RT ln Q RT Ecell = E °cell In Q nF This is the Nernst equation. At 25°C (T = 298 K), R = 8.314 J / m ol·K Faraday’s constant (F) = 96,500 C / mol e n = the number of moles of electrons Converting from ln to log (2.303), the Nernst equation becomes Ecell = E °cell - 0.0592 V log Q n Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Calculating Ecell (1 of 4) E sub cell Example 19.8 Calculating Ecell under Nonstandard Conditions Determine the cell potential for an electrochemical cell based on the following two halfreactions: Oxidation: Cu(s ) ® Cu2+ (aq, 0.010 M) + 2 e- Reduction: MnO4 - (aq, 2.0 M) + 4 H+ (aq, 1.0 M) + 3 e - ® MnO2 (s ) + 2 H2O(l ) Sort You are given the half-reactions for a redox reaction and the concentrations of the aqueous reactants and products. You are asked to find the cell potential. Given [MnO4 - ] = 2.0 M; [H+ ] = 1.0 M; [ Cu2+ ] = 0.010 M Find Ecell Strategize Use the tabulated values of electrode potentials to calculate Ecell . Then use the Nernst equation to calculate Ecell . Conceptual Plan Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Calculating Ecell (2 of 4) E sub cell Solve Write the oxidation and reduction half-reactions, multiplying by the appropriate coefficients to cancel the electrons. Find the standard electrode potentials for each. Find Ecell . Solution Calculate Ecell from Ecell . The value of n (the number of moles of electrons) corresponds Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Calculating Ecell (3 of 4) E sub cell to the number of electrons canceled in the half-reactions, six in this case. Determine Q based on the overall balanced equation and the given concentrations of the reactants and products. (Note that pure liquid water, solid MnO2 , and solid copper are omitted from the expression for Q.) Ecell = E °cell - 0.0592 V log Q n 0.0592 V [Cu2+ ]3 = E °cell log n [MnO4 - ]2 [H+ ]8 0.0592 V [0.010]3 = 1.34 V log 6 [2.0]2 [1.0]8 = 1.34 V - ( -0.065 V) = 1.41 V Check The answer has the correct units (V). The value of Ecell is larger than E°cell , as expected, based on Le Châtelier’s principle, because one of the aqueous reactants Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Calculating Ecell (4 of 4) E sub cell has a concentration greater than standard conditions and the one aqueous product has a concentration less than standard conditions. Therefore, the reaction has a greater tendency to proceed toward products and a greater cell potential. For Practice 19.8 Determine the cell potential of an electrochemical cell based on the following two halfreactions: Oxidation: Ni(s ) ® Ni2+ (aq, 2.0 M) + 2 e - Reduction: VO2+ (aq, 0.010 M) + 2 H+ (aq, 1.0 M) + e- ® VO2+ (aq, 2.0 M) + H2O(l ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.8 (1 of 2) In an electrochemical cell, Q = 0.0010 and K = 0.10. What can ° you conclude about Ecell and Ecell ? ° (a) Ecell is positive and Ecell is negative. ° is positive. (b) Ecell is negative and Ecell ° are positive. (c) Both Ecell and Ecell ° (d) Both Ecell and Ecell are negative. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.8 (2 of 2) In an electrochemical cell, Q = 0.0010 and K = 0.10. What can ° you conclude about Ecell and Ecell ? ° is negative. (a) Ecell is positive and Ecell ° is positive. (b) Ecell is negative and Ecell (c) Both ° are positive Ecell and Ecell ° (d) Both Ecell and Ecell are negative Copyright © 2024 Pearson Education, Inc. All Rights Reserved Concentration Cells • It is possible to get a spontaneous reaction when the oxidation and reduction reactions are the same, as long as the electrolyte concentrations are different. • The difference in energy is due to the entropic difference in the solutions. – The more concentrated solution has lower entropy than the less concentrated solution. • Electrons will flow from the electrode in the less concentrated solution to the electrode in the more concentrated solution. – Oxidation of the electrode in the less concentrated solution will increase the ion concentration in the solution; the less concentrated solution has the anode. – Reduction of the solution ions at the electrode in the more concentrated solution reduces the ion concentration; the more concentrated solution has the cathode. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Concentration Cell When the cell concentrations are equal, there is no difference in energy between the half-cells, and no electrons flow. When the cell concentrations are different, electrons flow from the side with the less concentrated solution (anode) to the side with the more concentrated solution (cathode). Copyright © 2024 Pearson Education, Inc. All Rights Reserved Batteries: Dry Cell • Electrolyte in paste form – NH4CI • Anode = Zn Zn(s) ® Zn2+ (aq ) + 2 e- • Cathode = graphite rod • MnO2 is reduced. 2 MnO2 (s ) + 2 NH4 + (aq ) + 2 e® Mn2O3 (s ) + 2 NH3 (g ) + H2O(l ) • Cell voltage = 1.5 V • Expensive, nonrechargeable, heavy, easily corroded Copyright © 2024 Pearson Education, Inc. All Rights Reserved Batteries: Alkaline Dry Cell • Same basic cell as acidic dry cell, except electrolyte is alkaline KOH paste • Anode = Zn (or Mg) Zn(s ) + 2 OH- (aq ) ® Zn ( OH)2 (s ) + 2 e- • Cathode = graphite or brass rod • MnO2 is reduced. 2 MnO2 (s ) + 2 H2O(l ) + 2 e - ® 2MnO ( OH) (s ) + 2 OH- (aq ) • Cell voltage = 1.5 V • Longer shelf life than acidic dry cells, with little corrosion of zinc Copyright © 2024 Pearson Education, Inc. All Rights Reserved Batteries: Lead Storage Battery • Six electrochemical cells in series • Electrolyte = 30% H2SO4 • Anode = Pb Pb(s ) + HSO4 - (aq ) ® PbSO 4 (s ) + H+ (aq ) + 2 e- • Cathode = Pb coated with PbO2 • PbO2 is reduced. PbO2 (s ) + HSO4 - + 3 H+ (aq ) + 2 e - ® PbSO4 (s ) + 2 H2O(l ) • Individual cell voltage = 2.09 V • Rechargeable, heavy Copyright © 2024 Pearson Education, Inc. All Rights Reserved NiCad Battery • Electrolyte is concentrated KOH solution. • Anode = Cd Cd(s ) + 2 OH- (aq ) ® Cd ( OH)2 (s ) + 2 e - E °ox = 0.81 V • Cathode = Ni coated with NiO2 • NiO(OH) is reduced. 2NiO(OH)(s ) + 2 H2O(l ) + 2 e - ® 2 Ni ( OH)2 (s ) + 2OH- (aq ) E °red = 0.45 V • Cell voltage = 1.3 V • Rechargeable, long life, light; however, recharging incorrectly can lead to battery breakdown. Copyright © 2024 Pearson Education, Inc. All Rights Reserved NiMH Battery • Electrolyte is concentrated KOH solution. • Anode = metal alloy with dissolved hydrogen • Oxidation of H from H0 to H+ M·H(s ) + OH- (aq ) ® M(s ) + H2O(l ) + e E °ox = 0.89 V • Cathode = Ni coated with • NiO2 NiO(OH) is reduced. NiO(OH)(s ) + H2O(l ) + e - ® Ni ( OH)2 (s ) + OH- (aq ) E °red = 0.45 V • Cell voltage = 1.3 V • Rechargeable, long life, light, more environmentally friendly than NiCad, greater energy density than NiCad Copyright © 2024 Pearson Education, Inc. All Rights Reserved Lithium Ion Battery • Anode is graphite impregnated with Li ions. • Cathode is Li-transition metal oxide. – Reduction of transition metal • Li ion migration from anode to cathode causes a corresponding migration of electrons from anode to cathode. • Rechargeable, long life, very light, greater energy density. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Fuel Cells • They are like batteries in which reactants are constantly being added. – So they never run down! • Anode and cathode are both Pt coated metal. • Electrolyte is OH- solution. • Anode reaction: 2 H2 (g ) + 4 OH- (aq ) ® 4 H2O(l ) + 4 e - • Cathode reaction: O2 (g ) + 2 H2O(l ) + 4 e - ® 4 OH- (aq ) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electrochemical Cells Overview • In all electrochemical cells, oxidation occurs at the anode and reduction occurs at the cathode. • In voltaic cells (spontaneous reactions; E°cell is positive), – the anode is the source of electrons and has a ( -) charge; – the cathode draws electrons and has a (+) charge. • In electrolytic cells (nonspontaneous reactions; E°cell is negative), – electrons are drawn off the anode, so there must be a place to release the electrons—the positive terminal of the battery; – electrons are forced toward the anode, so there must be a source of electrons—the negative terminal of the battery. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Voltaic versus Electrolytic Cells Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electrolysis (1 of 2) • Electrolysis is the process of using electrical energy to break a compound apart. • Electrolysis occurs in an electrolytic cell. • Electrolytic cells can be used to separate elements from their compounds. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electrolysis (2 of 2) • In electrolysis, we use electrical energy to overcome the energy barrier of a nonspontaneous reaction, allowing it to occur. • The reaction that takes place is the opposite of the spontaneous process. 2 H2 (g ) + O2 (g ) ® 2 H2O(l ) 2 H2O(l ) ® 2 H2 (g ) + O2 (g ) spontaneous electrolysis • Some applications of electrolysis are the following: 1. Metal extraction from minerals and purification 2. Production of H2 for fuel cells 3. Metal plating Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electrolytic Cells • The electrical energy is supplied by a direct current power supply. – AC alternates the flow of electrons so the reaction won’t be able to proceed. • Some electrolysis reactions require more voltage than Ecell predicts. This is called the overvoltage. • The source of energy is a battery or DC power supply. – The positive terminal of the source is attached to the anode. – The negative terminal of the source is attached to the cathode. • Electrolyte can be either an aqueous salt solution or a molten ionic salt. • Cations in the electrolyte are attracted to the cathode, and anions are attracted to the anode. • Cations pick up electrons from the cathode and are reduced; anions release electrons to the anode and are oxidized. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electrolysis of Aqueous Solutions • Possible cathode reactions: – Reduction of cation to metal – Reduction of water to H2 § 2 H2O + 2 e - ® H2 + 2 OH- E °red = -0.83 V at standard conditions E °red = -0.41 V at pH 7 • Possible anode reactions: – Oxidation of anion to element – Oxidation of § H2O to O2 2 H2O ® O2 + 4 e - + 4H+ E °ox = -1.23 V at standard conditions E °ox = -0.82 V at pH 7 – Oxidation of electrode: § Particularly Cu § Graphite doesn’t oxidize • Half-reactions that lead to least negative Ecell will occur. – Unless overvoltage changes the conditions Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electrolysis of Water Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electroplating • In electroplating, the work piece is the cathode. – Cations are reduced at cathode and plate to the surface of the work piece. – The anode is made of the plate metal. The anode oxidizes and replaces the metal cations in the solution. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.9 (1 of 2) Which statement is true for both electrolytic and voltaic cells? (a) The cell spontaneously produces a positive charge. (b) Electrons flow from the anode to the cathode. (c) Oxidation occurs at the cathode. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.9 (2 of 2) Which statement is true for both electrolytic and voltaic cells? (a) The cell spontaneously produces a positive charge. (b) Electrons flow from the anode to the cathode. (c) Oxidation occurs at the cathode. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Electrolysis of Pure Compounds • The compound must be in molten (liquid) state. • Electrodes are normally graphite. • Cations are reduced at the cathode to metal element. • Anions are oxidized at the anode to nonmetal element. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Mixtures of Ions and Electrolysis • When more than one cation is present, the cation that is easiest to reduce will be reduced first at the cathode. – Least negative or most positive E°red • When more than one anion is present, the anion that is easiest to oxidize will be oxidized first at the anode. – Least negative or most positive E°ox Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Predicting the Products of Electrolysis Reactions (1 of 4) Example 19.9 Predicting the Products of Electrolysis Reactions Predict the half-reaction occurring at the anode and the cathode for electrolysis for each reaction. a. a mixture of molten AIBr3 and MgBr2 b. an aqueous solution of LiI Solution a. In the electrolysis of a molten salt, the anion is oxidized and the cation is reduced. However, this mixture contains two cations. Start by writing the possible oxidation and reduction half-reactions that might occur. Since Br - is the only anion, write the equation for its oxidation, which occurs at the anode. At the cathode, both the reduction of AI3+ and the reduction of Mg2+ are possible. The one that actually occurs is the one that occurs more easily. Since the reduction of AI3+ has a more positive electrode potential in aqueous solution, this ion is more easily reduced. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Predicting the Products of Electrolysis Reactions (2 of 4) Therefore, the reduction of AI3+ occurs at the cathode. b. Because LiI is in an aqueous solution, two different oxidation half-reactions are possible at the anode, the oxidation of I- and the oxidation of water. Write half-reactions for each, including the electrode potential. Remember to use the electrode potential of water under conditions in which [H+ ] = 10-7 M. Since the oxidation of I- has the more negative electrode potential, it will be the half-reaction to occur at the anode. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Predicting the Products of Electrolysis Reactions (3 of 4) Similarly, write half-reactions for the two possible reduction half-reactions that might occur at the cathode: the reduction of Li+ and the reduction of water. Since the reduction of water has the more positive electrode potential (even when considering overvoltage, which would raise the necessary voltage by about 0.4 – 0.6 V), it is the half-reaction that occurs at the cathode. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Predicting the Products of Electrolysis Reactions (4 of 4) For Practice 19.9 Predict the half-reactions occurring at the anode and the cathode for the electrolysis of aqueous Na2SO4 . Copyright © 2024 Pearson Education, Inc. All Rights Reserved Stoichiometry of Electrolysis • In an electrolytic cell, the amount of product made is related to the number of electrons transferred. – Essentially, the electrons are a reactant. • The number of moles of electrons that flow through the electrolytic cell depends on the current and length of time. – 1 amp = 1 coulomb of charge/second – 1 mole of e- = 96,485 coulombs of charge Faraday’s constant • Conceptual plan: – time (in seconds) ® coulombs ® moles of electrons ® moles of metal ® grams of metal Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.10 (1 of 2) ® Ag(s ). Silver plating uses the reaction Ag+ (aq ) + e - ¾¾ How many moles of electrons must pass through an electrolytic cell for silver plating in order to plate 3 moles of Ag? (a) 1 mol e(b) 2 mol e(c) 3 mol e(d) 4 mol e- Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.10 (2 of 2) ® Ag(s ). Silver plating uses the reaction Ag+ (aq ) + e - ¾¾ How many moles of electrons must pass through an electrolytic cell for silver plating in order to plate 3 moles of Ag? (a) 1 mol e(b) 2 mol e(c) 3 mol e (d) 4 mol e- Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Stoichiometry of Electrolysis (1 of 3) Example 19.10 Stoichiometry of Electrolysis Gold can be plated out of a solution containing Au3+ according to the half-reaction: Au3+ (aq ) + 3 e - ® Au(s ) What mass of gold (in grams) is plated by a 25-minute flow of 5.5 A current? Sort You are given the half-reaction for the plating of gold, which shows the stoichiometric relationship between moles of electrons and moles of gold. You are also given the current and duration. You must find the mass of gold that is deposited in that time. Given 3mol e - : 1 mol Au 5.5amps 25 min Find g Au Strategize You need to find the amount of gold, which is related stoichiometrically to the number of electrons that have flowed through the cell. Begin with time in minutes and convert to seconds. Then, since current is a measure of charge per unit time, use the given current and the time to find the number of coulombs. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Stoichiometry of Electrolysis (2 of 3) You can use Faraday’s constant to calculate the number of moles of electrons and the stoichiometry of the reaction to find the number of moles of gold. Finally, use the molar mass of gold to convert to mass of gold. Conceptual plan Solve Follow the conceptual plan to solve the problem, canceling units to arrive at the mass of gold. Solution 1 mol Au 196.97 g Au 60 s 5.5 C 1 mol e 25 min ´ ´ ´ ´ ´ = 5.6 g Au 1s 1 min 96,485 C 3 mol e 1 mol Au Copyright © 2024 Pearson Education, Inc. All Rights Reserved Practice Problem: Stoichiometry of Electrolysis (3 of 3) Check The answer has the correct units (g Au). The magnitude of the answer is reasonable if you consider that 10 amps of current for 1 hour is the equivalent of about 1/ 3 mol of electrons (check for yourself), which would produce 1/ 9 mol (or about 20 g) of gold. For Practice 19.10 Silver can be plated out of a solution containing Ag+ according to the half-reaction: Ag+ (aq ) + e - ® Ag(s ) How much time (in minutes) does it take to plate 12 g of silver using a current of 3.0 A? Copyright © 2024 Pearson Education, Inc. All Rights Reserved Corrosion: Undesirable Redox Reaction • Corrosion is the spontaneous oxidation of a metal by chemicals in the environment. – Mainly O2 • Because many materials used are active metals, corrosion can be a very big problem. – Metals are often used for their strength and malleability, but these properties are lost when the metal corrodes. – For many metals, the product of corrosion does not adhere to the metal, and as it flakes off more metal can corrode. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Reduction of O2 o sub 2 • O2 is very easy to reduce in moist conditions. O2 (g ) + 2 H2O(l ) + 4 e - ® 4 OH- (aq ) E ° = 0.40 V • O2 is even easier to reduce under acidic conditions. O2 (g ) + 4 H+ (aq ) + 4 e - ® 2 H2O(l ) E ° = 1.23 V • Because the reduction of most metal ions lies below O2 on the table of standard reduction potentials, the oxidation of those metals by O2 is spontaneous. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Rusting (1 of 2) • At the anodic regions, Fe(s) is oxidized to Fe2+ . • The electrons travel through the metal to a cathodic region where O2 is reduced. – In acidic solution from gases dissolved in the moisture • The Fe2+ ions migrate through the moisture to the cathodic region, where they are further oxidized to Fe3+ , which combines with the oxygen and water to form rust. • Rust is hydrated iron(III) oxide, Fe2O3·nH2O. The exact composition depends on the conditions. – Moisture must be present, where water is a reactant. It is required for ion flow between cathodic and anodic regions. • Electrolytes promote rusting, because they enhance current flow. • Acids promote rusting by lowering pH which will lower E°red of O2 . Copyright © 2024 Pearson Education, Inc. All Rights Reserved Rusting (2 of 2) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Preventing Corrosion (1 of 2) • One way to reduce or slow corrosion is to coat the metal surface to keep it from contacting corrosive chemicals in the environment. – Paint – Some metals, such as Al, form an oxide that strongly attaches to the metal surface, preventing the rest of the metal from corroding. • Another method to protect one metal is to attach it to a more reactive metal that is cheap. – Sacrificial electrode Galvanized nails – If a metal more active than iron, such as magnesium or aluminum, is in electrical contact with iron, the metal (i.e. magnesium or aluminum) rather than the iron, will be oxidized. – This is the principle that underlies the use of sacrificial electrodes to prevent the corrosion of iron. Copyright © 2024 Pearson Education, Inc. All Rights Reserved Preventing Corrosion (2 of 2) Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.11 (1 of 2) Which of these metals does not act as a sacrificial electrode for iron? (a) Cu (b) Mg (c) Zn (d) Mn Copyright © 2024 Pearson Education, Inc. All Rights Reserved Conceptual Connection 19.11 (2 of 2) Which of these metals does not act as a sacrificial electrode for iron? (a) Cu (b) Mg (c) Zn (d) Mn Copyright © 2024 Pearson Education, Inc. All Rights Reserved