Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo...

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Chapter 18 Electrochemi stry 2007, Prentice Hall Chemistry: A Molecular Approach , 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley Hills, MA

Transcript of Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo...

Page 1: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Chapter 18Electrochemistry

2007, Prentice Hall

Chemistry: A Molecular Approach, 1st Ed.Nivaldo Tro

Roy KennedyMassachusetts Bay Community College

Wellesley Hills, MA

Page 2: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 2

Redox Reaction• one or more elements change oxidation number

all single displacement, and combustion,some synthesis and decomposition

• always have both oxidation and reductionsplit reaction into oxidation half-reaction and a

reduction half-reaction• aka electron transfer reactions

half-reactions include electrons• oxidizing agent is reactant molecule that causes oxidation

contains element reduced• reducing agent is reactant molecule that causes reduction

contains the element oxidized

Page 3: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 3

Oxidation & Reduction• oxidation is the process that occurs when

oxidation number of an element increaseselement loses electronscompound adds oxygencompound loses hydrogenhalf-reaction has electrons as products

• reduction is the process that occurs whenoxidation number of an element decreaseselement gains electronscompound loses oxygencompound gains hydrogenhalf-reactions have electrons as reactants

Page 4: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

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Rules for Assigning Oxidation States

• rules are in order of priority1. free elements have an oxidation state = 0

Na = 0 and Cl2 = 0 in 2 Na(s) + Cl2(g)

2. monatomic ions have an oxidation state equal to their charge

Na = +1 and Cl = -1 in NaCl

3. (a) the sum of the oxidation states of all the atoms in a compound is 0

Na = +1 and Cl = -1 in NaCl, (+1) + (-1) = 0

Page 5: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 5

Rules for Assigning Oxidation States3. (b) the sum of the oxidation states of all the atoms in

a polyatomic ion equals the charge on the ion N = +5 and O = -2 in NO3

–, (+5) + 3(-2) = -1

4. (a) Group I metals have an oxidation state of +1 in all their compounds

Na = +1 in NaCl

4. (b) Group II metals have an oxidation state of +2 in all their compounds

Mg = +2 in MgCl2

Page 6: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

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Rules for Assigning Oxidation States5. in their compounds, nonmetals have oxidation

states according to the table below nonmetals higher on the table take priority

Nonmetal Oxidation State Example

F -1 CF4

H +1 CH4

O -2 CO2

Group 7A -1 CCl4

Group 6A -2 CS2

Group 5A -3 NH3

Page 7: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 7

Oxidation and Reduction

• oxidation occurs when an atom’s oxidation state increases during a reaction

• reduction occurs when an atom’s oxidation state decreases during a reaction

CH4 + 2 O2 → CO2 + 2 H2O-4 +1 0 +4 –2 +1 -2

oxidationreduction

Page 8: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 8

Oxidation–Reduction• oxidation and reduction must occur simultaneously

if an atom loses electrons another atom must take them

• the reactant that reduces an element in another reactant is called the reducing agent the reducing agent contains the element that is oxidized

• the reactant that oxidizes an element in another reactant is called the oxidizing agent the oxidizing agent contains the element that is reduced

2 Na(s) + Cl2(g) → 2 Na+Cl–(s)Na is oxidized, Cl is reduced

Na is the reducing agent, Cl2 is the oxidizing agent

Page 9: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

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Identify the Oxidizing and Reducing Agents in Each of the Following

3 H2S + 2 NO3– + 2 H+ S + 2 NO + 4 H2O

MnO2 + 4 HBr MnBr2 + Br2 + 2 H2O

Page 10: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

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Identify the Oxidizing and Reducing Agents in Each of the Following

3 H2S + 2 NO3– + 2 H+ S + 2 NO + 4 H2O

MnO2 + 4 HBr MnBr2 + Br2 + 2 H2O

+1 -2 +5 -2 +1 0 +2 -2 +1 -2

ox agred ag

+4 -2 +1 -1 +2 -1 0 +1 -2

oxidationreduction

oxidation

reduction

red agox ag

Page 11: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

11

Common Oxidizing AgentsOxidizing Agent Product when Reduced

O2 O-2

H2O2 H2O

F2, Cl2, Br2, I2 F-1

, Cl-1

, Br-1

, I-1

ClO3-1

(BrO3-1

, IO3-1

) Cl-1

, (Br-1

, I-1

)

H2SO4 (conc) SO2 or S or H2S

SO3-2

S2O3-2

, or S or H2S

HNO3 (conc) or NO3-1

NO2, or NO, or N2O, or N2, or NH3

MnO4-1

(base) MnO2

MnO4-1

(acid) Mn+2

CrO4-2

(base) Cr(OH)3

Cr2O7-2

(acid) Cr+3

Page 12: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

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Common Reducing AgentsReducing Agent Product when Oxidized

H2 H+1

H2O2 O2

I-1

I2

NH3, N2H4 N2

S-2

, H2S S

SO3-2

SO4-2

NO2-1

NO3-1

C (as coke or charcoal) CO or CO2

Fe+2

(acid) Fe+3

Cr+2

Cr+3

Sn+2

Sn+4

metals metal ions

Page 13: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 13

Balancing Redox Reactions1) assign oxidation numbers

a) determine element oxidized and element reduced

2) write ox. & red. half-reactions, including electronsa) ox. electrons on right, red. electrons on left of arrow

3) balance half-reactions by massa) first balance elements other than H and Ob) add H2O where need Oc) add H+1 where need Hd) neutralize H+ with OH- in base

4) balance half-reactions by chargea) balance charge by adjusting electrons

5) balance electrons between half-reactions6) add half-reactions7) check

Page 14: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 14

Ex 18.3 – Balance the equation:I

(aq) + MnO4(aq) I2(aq) + MnO2(s) in basic solution

Assign Oxidation States

I(aq) + MnO4

(aq) I2(aq) + MnO2(s)

Separate into half-reactions

ox:

red:

Assign Oxidation States

Separate into half-reactions

ox: I(aq) I2(aq)

red: MnO4(aq) MnO2(s)

Page 15: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

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Ex 18.3 – Balance the equation:I

(aq) + MnO4(aq) I2(aq) + MnO2(s) in basic solution

Balance half-reactions by mass

ox: I(aq) I2(aq)

red: MnO4(aq) MnO2(s)

Balance half-reactions by mass

ox: 2 I(aq) I2(aq)

red: MnO4(aq) MnO2(s)

Balance half-reactions by mass

then O by adding H2O

ox: 2 I(aq) I2(aq)

red: MnO4(aq) MnO2(s) + 2 H2O(l)

Balance half-reactions by mass

then H by adding H+

ox: 2 I(aq) I2(aq)

red: 4 H+(aq) + MnO4

(aq) MnO2(s) + 2 H2O(l)

Balance half-reactions by mass

in base, neutralize the H+ with OH-

ox: 2 I(aq) I2(aq)

red: 4 H+(aq) + MnO4

(aq) MnO2(s) + 2 H2O(l)

4 H+(aq) + 4 OH

(aq) + MnO4(aq) MnO2(s) + 2 H2O(l) + 4 OH

(aq)

4 H2O(aq) + MnO4(aq) MnO2(s) + 2 H2O(l) + 4 OH

(aq)

MnO4(aq) + 2 H2O(l) MnO2(s) + 4 OH

(aq)

Page 16: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 16

Ex 18.3 – Balance the equation:I

(aq) + MnO4(aq) I2(aq) + MnO2(s) in basic solution

Balance Half-reactions by charge

ox: 2 I(aq) I2(aq) + 2 e

red: MnO4(aq) + 2 H2O(l) + 3 e MnO2(s) + 4 OH

(aq)

Balance electrons between half-reactions

ox: 2 I(aq) I2(aq) + 2 e } x3

red: MnO4(aq) + 2 H2O(l) + 3 e MnO2(s) + 4 OH

(aq) }x2

ox: 6 I(aq) 3 I2(aq) + 6 e

red: 2 MnO4(aq) + 4 H2O(l) + 6 e 2 MnO2(s) + 8 OH

(aq)

Page 17: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 17

Ex 18.3 – Balance the equation:I

(aq) + MnO4(aq) I2(aq) + MnO2(s) in basic solution

Add the Half-reactions

ox: 6 I(aq) 3 I2(aq) + 6 e

red: 2 MnO4(aq) + 4 H2O(l) + 6 e 2 MnO2(s) + 8 OH

(aq)

tot: 6 I(aq)+ 2 MnO4

(aq) + 4 H2O(l) 3 I2(aq)+ 2 MnO2(s) + 8 OH

(aq)

Check ReactantCount Element

ProductCount

6 I 6

2 Mn 2

12 O 12

8 H 8

2 charge 2

Page 18: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 18

Practice - Balance the Equation H2O2 + KI + H2SO4 K2SO4 + I2 + H2O

Page 19: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

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Practice - Balance the Equation H2O2 + KI + H2SO4 K2SO4 + I2 + H2O+1 -1 +1 -1 +1 +6 -2 +1 +6 -2 0 +1 -2

oxidationreduction

ox: 2 I-1 I2 + 2e-1

red: H2O2 + 2e-1 + 2 H+ 2 H2Otot 2 I-1 + H2O2 + 2 H+ I2 + 2 H2O

1 H2O2 + 2 KI + H2SO4 K2SO4 + 1 I2 + 2 H2O

Page 20: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 20

Practice - Balance the EquationClO3

-1 + Cl-1 Cl2 (in acid)

Page 21: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 21

Practice - Balance the EquationClO3

-1 + Cl-1 Cl2 (in acid)

+5 -2 -1 0

oxidationreduction

ox: 2 Cl-1 Cl2 + 2 e-1 } x5red: 2 ClO3

-1 + 10 e-1 + 12 H+ Cl2 + 6 H2O} x1tot 10 Cl-1 + 2 ClO3

-1 + 12 H+ 6 Cl2 + 6 H2O

1 ClO3-1 + 5 Cl-1 + 6 H+1 3 Cl2

+ 3 H2O

Page 22: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 22

Electrical Current• when we talk about the current

of a liquid in a stream, we are discussing the amount of water that passes by in a given period of time

• when we discuss electric current, we are discussing the amount of electric charge that passes a point in a given period of timewhether as electrons flowing

through a wire or ions flowing through a solution

Page 23: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

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Redox Reactions & Current

• redox reactions involve the transfer of electrons from one substance to another

• therefore, redox reactions have the potential to generate an electric current

• in order to use that current, we need to separate the place where oxidation is occurring from the place that reduction is occurring

Page 24: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

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Electric Current Flowing Directly Between Atoms

Page 25: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

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Electric Current Flowing Indirectly Between Atoms

Page 26: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 26

Electrochemical Cells• 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 cellaka galvanic cells

• nonspontaneous redox reactions can be made to occur in an electrolytic cell by the addition of electrical energy

Page 27: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 27

Electrochemical Cells• oxidation and reduction reactions kept separate

half-cells

• electron flow through a wire along with ion flow through a solution constitutes an electric circuit

• requires a conductive solid (metal or graphite) electrode to allow the transfer of electrons through external circuit

• ion exchange between the two halves of the systemelectrolyte

Page 28: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 28

Electrodes• Anode

electrode where oxidation occursanions attracted to itconnected to positive end of battery in electrolytic

cellloses weight in electrolytic cell

• Cathodeelectrode where reduction occurscations attracted to itconnected to negative end of battery in electrolytic

cellgains weight in electrolytic cell

electrode where plating takes place in electroplating

Page 29: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 29

Voltaic Cell

the salt bridge is required to complete the circuit and maintain charge balance

Page 30: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 30

Current and Voltage• the number of electrons that flow through the system per

second is the currentunit = Ampere1 A of current = 1 Coulomb of charge flowing by each second1 A = 6.242 x 1018 electrons/secondElectrode surface area dictates the number of electrons that can

flow• the difference in potential energy between the reactants

and products is the potential differenceunit = Volt1 V of force = 1 J of energy/Coulomb of charge the voltage needed to drive electrons through the external circuitamount of force pushing the electrons through the wire is called

the electromotive force, emf

Page 31: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 31

Cell Potential• the difference in potential energy between the

anode 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 solutionsum of the cell potentials for the half-reactions

Page 32: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 32

Cell Notation• shorthand description of Voltaic cell• electrode | electrolyte || electrolyte | electrode• oxidation half-cell on left, reduction half-cell on

the right• single | = phase barrier

if multiple electrolytes in same phase, a comma is used rather than |

often use an inert electrode

• double line || = salt bridge

Page 33: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 33

Fe(s) | Fe2+(aq) || MnO4(aq), Mn2+(aq), H+(aq) | Pt(s)

Page 34: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 34

Standard Reduction Potential• a half-reaction with a strong tendency to

occur has a large + half-cell potential• when two half-cells are connected, the

electrons will flow so that the half-reaction with the stronger tendency will occur

• we cannot measure the absolute tendency of a half-reaction, we can only measure it relative to another half-reaction

• we select as a standard half-reaction the reduction of H+ to H2 under standard conditions, which we assign a potential difference = 0 vstandard hydrogen electrode, SHE

Page 35: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

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Page 36: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

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Half-Cell Potentials• SHE reduction potential is defined to be exactly 0 v

• half-reactions with a stronger tendency toward reduction than the SHE have a + value for E°red

• half-reactions with a stronger tendency toward oxidation than the SHE have a value for E°red

• E°cell = E°oxidation + E°reduction

E°oxidation = E°reduction

when adding E° values for the half-cells, do not multiply the half-cell E° values, even if you need to multiply the half-reactions to balance the equation

Page 37: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.
Page 38: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 38

Page 39: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 39

Ex 18.4 – Calculate Ecell for the reaction at 25CAl(s) + NO3

−(aq) + 4 H+

(aq) Al3+(aq) + NO(g) + 2 H2O(l)

Separate the reaction into the oxidation and reduction half-reactions

ox: Al(s) Al3+(aq) + 3 e−

red: NO3−

(aq) + 4 H+(aq) + 3 e− NO(g) + 2 H2O(l)

find the E for each half-reaction and sum to get Ecell

Eox = −Ered = +1.66 v

Ered = +0.96 v

Ecell = (+1.66 v) + (+0.96 v) = +2.62 v

Page 40: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 40

Ex 18.4a – Predict if the following reaction is spontaneous under standard conditions

Fe(s) + Mg2+(aq) Fe2+

(aq) + Mg(s)

Separate the reaction into the oxidation and reduction half-reactions

ox: Fe(s) Fe2+(aq) + 2 e−

red: Mg2+(aq) + 2 e− Mg(s)

look up the relative positions of the reduction half-reactions

red: Mg2+(aq) + 2 e− Mg(s)

red: Fe2+(aq) + 2 e− Fe(s)

since Mg2+ reduction is below Fe2+ reduction, the reaction is NOT spontaneous as written

Page 41: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 41

the reaction is spontaneous in the reverse direction

Mg(s) + Fe2+(aq) Mg2+

(aq) + Fe(s)

ox: Mg(s) Mg2+(aq) + 2 e−

red: Fe2+(aq) + 2 e− Fe(s)

sketch the cell and label the parts – oxidation occurs at the anode; electrons flow from anode to cathode

Page 42: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 42

Practice - Sketch and Label the Voltaic CellFe(s) Fe2+(aq) Pb2+(aq) Pb(s) , Write the Half-Reactions and Overall Reaction, and Determine the

Cell Potential under Standard Conditions.

Page 43: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 43

ox: Fe(s) Fe2+(aq) + 2 e− E = +0.45 V

red: Pb2+(aq) + 2 e− Pb(s) E = −0.13 V

tot: Pb2+(aq) + Fe(s) Fe2+(aq) + Pb(s) E = +0.32 V

Page 44: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 44

Predicting Whether a Metal Will Dissolve in an Acid

• acids dissolve in metals if the reduction of the metal ion is easier than the reduction of H+

(aq)

• metals whose ion reduction reaction lies below H+ reduction on the table will dissolve in acid

Page 45: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 45

E°cell, G° and K

• for a spontaneous reaction one the proceeds in the forward direction with the

chemicals in their standard statesG° < 1 (negative)E° > 1 (positive)K > 1

• G° = −RTlnK = −nFE°cell

n is the number of electronsF = Faraday’s Constant = 96,485 C/mol e−

Page 46: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 46

Example 18.6- Calculate G° for the reactionI2(s) + 2 Br−

(aq) → Br2(l) + 2 I−(aq)

since G° is +, the reaction is not spontaneous in the forward direction under standard conditions

Answer:

Solve:

Concept Plan:

Relationships:

I2(s) + 2 Br−(aq) → Br2(l) + 2 I−

(aq)

G, (J)

Given:

Find:

E°ox, E°red E°cell G°redoxcell EEE

cellFEG n

ox: 2 Br−(aq) → Br2(l) + 2 e− E° = −1.09 v

red: I2(l) + 2 e− → 2 I−(aq) E° = +0.54 v

tot: I2(l) + 2Br−(aq) → 2I−

(aq) + Br2(l) E° = −0.55 v

cellFEG n

J 101.1G

55.0485,96 mol 2G

5

C

J

mol

C

ee

Page 47: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 47

125.11 102.310

5.11V 0592.0

mol 2V 34.0log

K

eK

Example 18.7- Calculate at 25°C for the reactionCu(s) + 2 H+

(aq) → H2(g) + Cu2+(aq)

since < 1, the position of equilibrium lies far to the left under standard conditions

Answer:

Solve:

Concept Plan:

Relationships:

Cu(s) + 2 H+(aq) → H2(g) + Cu2+

(aq)

Given:

Find:

E°ox, E°red E°cell redoxcell EEE K

nlog

V 0592.0Ecell

ox: Cu(s) → Cu2+(aq) + 2 e− E° = −0.34 v

red: 2 H+(aq) + 2 e− → H2(aq) E° = +0.00 v

tot: Cu(s) + 2H+(aq) → Cu2+

(aq) + H2(g) E° = −0.34 v

Kn

logV 0592.0

Ecell

Page 48: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 48

Nonstandard Conditions - the Nernst Equation

• G = G° + RT ln Q

• E = E° - (0.0592/n) log Q at 25°C

• when Q = K, E = 0

• use to calculate E when concentrations not 1 M

Page 49: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 49

E at Nonstandard Conditions

Page 50: Chapter 18 Electrochemistry 2007, Prentice Hall Chemistry: A Molecular Approach, 1 st Ed. Nivaldo Tro Roy Kennedy Massachusetts Bay Community College Wellesley.

Tro, Chemistry: A Molecular Approach 50

V 41.1E

.0]1[.0]2[

]010.0[log

6

V 0592.0V 34.1E

][H][MnO

]Cu[log

V 0592.0EE

cell

83

3

cell

834

32

cellcell

n

Example 18.8- Calculate Ecellat 25°C for the reaction3 Cu(s) + 2 MnO4

−(aq) + 8 H+

(aq) → 2 MnO2(s) + Cu2+(aq) + 4 H2O(l)

units are correct, Ecell > E°cell as expected because [MnO4−]

> 1 M and [Cu2+] < 1 M

Check:

Solve:

Concept Plan:

Relationships:

3 Cu(s) + 2 MnO4−

(aq) + 8 H+(aq) → 2 MnO2(s) + Cu2+

(aq) + 4 H2O(l)

[Cu2+] = 0.010 M, [MnO4−] = 2.0 M, [H+] = 1.0 M

Ecell

Given:

Find:

E°ox, E°red E°cell Ecell

redoxcell EEE Q

nlog

V 0592.0EE cellcell

ox: Cu(s) → Cu2+(aq) + 2 e− }x3 E° = −0.34 v

red: MnO4−

(aq) + 4 H+(aq) + 3 e− → MnO2(s) + 2 H2O(l) }x2 E° = +1.68 v

tot: 3 Cu(s) + 2 MnO4−

(aq) + 8 H+(aq) → 2 MnO2(s) + Cu2+

(aq) + 4 H2O(l)) E° = +1.34 v

Qn

logV 0592.0

EE cellcell

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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

• 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

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when the cell concentrations are equal there is no difference in energy between the half-cells and no electrons flow

Concentration Cell

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)

Cu(s) Cu2+(aq) (0.010 M) Cu2+

(aq) (2.0 M) Cu(s)

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LeClanche’ Acidic Dry Cell• electrolyte in paste form

ZnCl2 + NH4Clor MgBr2

• anode = Zn (or Mg)Zn(s) Zn2+(aq) + 2 e-

• cathode = graphite rod

• MnO2 is reduced2 MnO2(s) + 2 NH4

+(aq) + 2 H2O(l) + 2 e-

2 NH4OH(aq) + 2 Mn(O)OH(s)

• cell voltage = 1.5 v• expensive, nonrechargeable, heavy,

easily corroded

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Alkaline Dry Cell• same basic cell as acidic dry cell, except

electrolyte is alkaline KOH paste

• anode = Zn (or Mg)Zn(s) Zn2+(aq) + 2 e-

• cathode = brass rod

• MnO2 is reduced2 MnO2(s) + 2 NH4

+(aq) + 2 H2O(l) + 2 e-

2 NH4OH(aq) + 2 Mn(O)OH(s)

• cell voltage = 1.54 v

• longer shelf life than acidic dry cells and rechargeable, little corrosion of zinc

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Lead Storage Battery

• 6 cells in series

• electrolyte = 30% H2SO4

• anode = PbPb(s) + SO4

2-(aq) PbSO4(s) + 2 e-

• cathode = Pb coated with PbO2

• PbO2 is reducedPbO2(s) + 4 H+(aq) + SO4

2-(aq) + 2 e-

PbSO4(s) + 2 H2O(l)

• cell voltage = 2.09 v

• rechargeable, heavy

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NiCad Battery

• electrolyte is concentrated KOH solution• anode = Cd

Cd(s) + 2 OH-1(aq) Cd(OH)2(s) + 2 e-1 E0 = 0.81 v

• cathode = Ni coated with NiO2

• NiO2 is reducedNiO2(s) + 2 H2O(l) + 2 e-1 Ni(OH)2(s) + 2OH-1 E0 = 0.49

v

• cell voltage = 1.30 v• rechargeable, long life, light – however

recharging incorrectly can lead to battery breakdown

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Ni-MH Battery

• electrolyte is concentrated KOH solution• anode = metal alloy with dissolved hydrogen

oxidation of H from H0 to H+1

M∙H(s) + OH-1(aq) M(s) + H2O(l) + e-1 E° = 0.89 v

• cathode = Ni coated with NiO2

• NiO2 is reducedNiO2(s) + 2 H2O(l) + 2 e-1 Ni(OH)2(s) + 2OH-1 E0 = 0.49 v

• cell voltage = 1.30 v• rechargeable, long life, light, more environmentally

friendly than NiCad, greater energy density than NiCad

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Lithium Ion Battery• electrolyte is concentrated KOH

solution• anode = graphite impregnated with Li

ions• cathode = Li - transition metal oxide

reduction of transition metal

• work on Li ion migration from anode to cathode causing a corresponding migration of electrons from anode to cathode

• rechargeable, long life, very light, more environmentally friendly, greater energy density

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Fuel Cells• like batteries in which

reactants are constantly being addedso it never runs down!

• Anode and Cathode both Pt coated metal

• Electrolyte is OH– solution

• Anode Reaction: 2 H2 + 4 OH–

→ 4 H2O(l) + 4 e-

• Cathode Reaction: O2 + 4 H2O + 4 e-

→ 4 OH–

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Electrolytic Cell• uses electrical energy to overcome the energy barrier

and cause a non-spontaneous reactionmust be DC source

• the + terminal of the battery = anode

• the - terminal of the battery = cathode

• cations attracted to the cathode, anions to the anode

• cations pick up electrons from the cathode and are reduced, anions release electrons to the anode and are oxidized

• some electrolysis reactions require more voltage than Etot, called the overvoltage

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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

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Electrochemical Cells• in all electrochemical cells, oxidation occurs at the

anode, reduction occurs at the cathode

• in voltaic cells, anode is the source of electrons and has a (−) chargecathode draws electrons and has a (+) charge

• in electrolytic cellselectrons are drawn off the anode, so it must have a place to

release the electrons, the + terminal of the batteryelectrons are forced toward the anode, so it must have a

source of electrons, the − terminal of the battery

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Electrolysis • electrolysis is the process of using

electricity to break a compound apart

• electrolysis is done in an electrolytic cell

• electrolytic cells can be used to separate elements from their compoundsgenerate H2 from water for fuel cells recover metals from their ores

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Electrolysis of Water

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Electrolysis of Pure Compounds• must be in molten (liquid) state

• electrodes normally graphite

• cations are reduced at the cathode to metal element

• anions oxidized at anode to nonmetal element

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Electrolysis of NaCl(l)

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Mixtures of Ions

• when more than one cation is present, the cation that is easiest to reduce will be reduced first at the cathodeleast 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

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Electrolysis of Aqueous Solutions• Complicated by more than one possible oxidation and reduction• possible cathode reactions

reduction of cation to metal reduction of water to H2

2 H2O + 2 e-1 H2 + 2 OH-1 E° = -0.83 v @ stand. cond.E° = -0.41 v @ pH 7

• possible anode reactionsoxidation of anion to elementoxidation of H2O to O2

2 H2O O2 + 4e-1 + 4H+1 E° = -1.23 v @ stand. cond.E° = -0.82 v @ pH 7

oxidation of electrodeparticularly Cugraphite doesn’t oxidize

• half-reactions that lead to least negative Etot will occur unless overvoltage changes the conditions

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Electrolysis of NaI(aq)

with Inert Electrodespossible oxidations2 I-1 I2 + 2 e-1 E° = −0.54 v2 H2O O2 + 4e-1 + 4H+1 E° = −0.82 v

possible reductionsNa+1 + 1e-1 Na0 E° = −2.71 v2 H2O + 2 e-1 H2 + 2 OH-1 E° = −0.41 v

possible oxidations2 I-1 I2 + 2 e-1 E° = −0.54 v2 H2O O2 + 4e-1 + 4H+1 E° = −0.82 v

possible reductionsNa+1 + 1e-1 Na0 E° = −2.71 v2 H2O + 2 e-1 H2 + 2 OH-1 E° = −0.41 v

overall reaction2 I−

(aq) + 2 H2O(l) I2(aq) + H2(g) + 2 OH-1(aq)

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Faraday’s Law

• the amount of metal deposited during electrolysis is directly proportional to the charge on the cation, the current, and the length of time the cell runscharge that flows through the cell = current x time

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Example 18.10- Calculate the mass of Au that can be plated in 25 min using 5.5 A for the half-reaction

Au3+(aq) + 3 e− → Au(s)

units are correct, answer is reasonable since 10 A running for 1 hr ~ 1/3 mol e−

Check:

Solve:

Concept Plan:

Relationships:

3 mol e− : 1 mol Au, current = 5.5 amps, time = 25 min

mass Au, g

Given:

Find:

s 1

C 5.5

Au g 6.5

Au mol 1

g 196.97

mol 3

Au mol 1

C 96,485

mol 1

s 1

C 5.5

min 1

s 60min 25

e

e

t(s), amp charge (C) mol e− mol Au g Au

C 6,4859

mol 1 ee mol 3

Au mol 1

Au mol 1

g 196.97

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Corrosion

• corrosion is the spontaneous oxidation of a metal by chemicals in the environment

• since many materials we use are active metals, corrosion can be a very big problem

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Rusting• rust is hydrated iron(III) oxide• moisture must be present

water is a reactantrequired for flow between cathode and anode

• electrolytes promote rustingenhances current flow

• acids promote rustinglower pH = lower E°red

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Preventing Corrosion• one way to reduce or slow corrosion is to coat

the metal surface to keep it from contacting corrosive chemicals in the environmentpaintsome metals, like Al, form an oxide that strongly

attaches to the metal surface, preventing the rest from corroding

• another method to protect one metal is to attach it to a more reactive metal that is cheapsacrificial electrode

galvanized nails

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Sacrificial Anode