+ All Categories
Home > Documents > 0 +2 Mg + S MgS 0 -2 Mg + S Mg Spaziras\Chem102\Chap_18.pdfChemistry 102 Chapter 18 2 OXIDATION...

0 +2 Mg + S MgS 0 -2 Mg + S Mg Spaziras\Chem102\Chap_18.pdfChemistry 102 Chapter 18 2 OXIDATION...

Date post: 30-May-2018
Category:
Upload: buimien
View: 216 times
Download: 0 times
Share this document with a friend
28
Chemistry 102 Chapter 18 1 OXIDATION-REDUCTION REACTIONS Some of the most important reaction in chemistry are oxidation-reduction (redox) reactions. In these reactions, electrons transfer from one reactant to the other. The rusting of iron, bleaching of hair and the production of electricity in batteries involve redox reactions. Synthesis, decomposition, single replacement and combustion reactions are all examples of redox reactions. In these reactions, one substance loses electrons (oxidized) while another substance gain electrons (reduced). Therefore, oxidation is defined as loss of electrons, while reduction is defined as gain of electrons. For example in reaction of magnesium metal and sulfur to form magnesium sulfide: 2e (oxidation) 0 +2 Mg + S MgS 0 -2 + 2e (reduction) Mg : - is oxidized (loses electrons) S: - is reduced (gains electrons) - causes the reduction of S - causes the oxidation of Mg - called Reducing Agent - called Oxidizing Agent 2e Mg 0 + S 0 Mg 2+ S 2 Oxidation-Reduction reactions can be represented by half-reactions: Oxidation Half-Reaction Reduction Half-Reaction Mg Mg 2+ + 2 e S + 2e S 2
Transcript

Chemistry 102 Chapter 18

1

OXIDATION-REDUCTION REACTIONS

Some of the most important reaction in chemistry are oxidation-reduction (redox) reactions.

In these reactions, electrons transfer from one reactant to the other. The rusting of iron,

bleaching of hair and the production of electricity in batteries involve redox reactions.

Synthesis, decomposition, single replacement and combustion reactions are all examples of

redox reactions. In these reactions, one substance loses electrons (oxidized) while another

substance gain electrons (reduced). Therefore, oxidation is defined as loss of electrons,

while reduction is defined as gain of electrons.

For example in reaction of magnesium metal and sulfur to form magnesium sulfide:

– 2e (oxidation)

0 +2

Mg + S MgS

0 -2 + 2e (reduction)

Mg : - is oxidized (loses electrons) S: - is reduced (gains electrons)

- causes the reduction of S - causes the oxidation of Mg

- called Reducing Agent - called Oxidizing Agent

2e–

Mg0 + S0 Mg 2+S2

Oxidation-Reduction reactions can be represented by half-reactions:

Oxidation Half-Reaction Reduction Half-Reaction

Mg Mg 2+

+ 2 e – S + 2e

– S

2

Chemistry 102 Chapter 18

2

OXIDATION NUMBERS OR STATES

Identifying the oxidation-reduction nature of reactions between metals and non-metals is

straight forward because of ion formation. However, redox reactions that occur between

two non-metals is more difficult to characterize since no ions are formed.

Chemists have devised a scheme to track electrons before and after a reaction in order to

simply this process. In this scheme, a number (oxidation state or number) is assigned to

each element assuming that the shared electrons between two atoms belong to the one

with the most attraction for these electrons. The oxidation number of an atom can be

thought of as the “charge” the atom would have if all shared electrons were assigned to it.

The following rules are used to assign oxidation numbers to atoms in elements and

compounds. (Note: these rules are hierarchical. If any two rules conflict, follow the rule that

is higher on the list)

1. The oxidation number of an atom in a free element is 0.

2. The oxidation number of a monatomic ion is equal to its charge.

3. The sum of the oxidation number of all atoms in:

A neutral molecule or formula is equal to 0.

An ion is equal to the charge of the ion.

4. In their compounds, metals have a positive oxidation number.

Group 1A metals always have an oxidation number of +1.

Group 2A metals always have an oxidation number of +2.

5. In their compounds non-metals are assigned oxidation numbers

according to the table at right. Entries at the top of the table take

precedence over entries at the bottom of the table.

Chemistry 102 Chapter 18

3

OXIDIDATION-REDUCTION REACTIONS

Oxidation numbers (or states) can be used to identify redox reactions and determine which

substance is oxidized and which is reduced.

To do so, assign oxidation numbers to all elements in the reactants and products, then track

which elements change oxidation numbers from reactants to products.

Elements that increase their oxidation numbers lose electrons, and are therefore oxidized.

Elements that decrease their oxidation numbers gain electrons, and are therefore reduced.

OXIDATION (LOSS OF ELECTRONS)

-6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7

REDUCTION (GAIN OF ELECTRONS)

Examples:

1. Using oxidation numbers, identify the element is oxidized and the element that is reduced

and the number of electrons transferred, in each of the following redox reactions:

a) Sn (s) + 4 HNO3 (aq) → SnO2 (s) + 4 NO2 (g) + 2 H2O (g)

b) Hg(NO3)2 (aq) + 2 KBr (aq) → Hg2Br2 (s) + 2 KNO3 (aq)

Chemistry 102 Chapter 18

4

HALF–REACTIONS

Redox Reactions are discussed (sometimes balanced) by writing two Half-Reactions:

OXIDATION HALF-REACTION REDUCTION HALF-REACTION

involves loss of electrons

increase in Oxidation Number

involves gain of electrons

decrease in Oxidation Number

Cu(s) Cu2+

(aq) + 2 e– 2Ag

+(aq) + 2e

– 2Ag

0(s)

NOTE:

Number of electrons

lost in

Oxidation reaction

=

Number of electrons

gained in

Reduction reaction

CONCLUSION:

Oxidation–Reduction (Redox) Reactions

are reactions in which the Oxidation Numbers of at least two elements change

involve transfer of electrons:

from : the element that is oxidized (called Reducing Agent)

to: the element that is reduced (called Oxidizing Agent)

Examples:

1. Determine the oxidized and reduced species and write half-reactions for the reaction of

zinc and sulfur to form zinc sulfide:

Zn (s) + S (s) ZnS (s)

Chemistry 102 Chapter 18

5

Examples:

2. Determine the oxidized and reduced species and write half-reactions for the reaction of

aluminum and iodine to form zinc aluminum iodine:

Al (s) + I2 (s) AlI3 (s)

3. Determine the oxidized and reduced species and write half-reactions for the reaction

shown below:

Mg (s) + HCl (aq) MgCl2 (aq) + H2 (g)

Chemistry 102 Chapter 18

6

BALANCING REDOX REACTIONS IN ACIDIC & BASIC SOLUTIONS

When balancing redox reactions, the following must be observed:

Atoms must balance

Nr. of electrons lost = Nr. of electrons gained

Net charges of ions on both sides of the equation must balance

1. Acidic Solution (H+ ions and H2O molecules may be added as needed)

Balance the following redox reaction that takes place in acidic solution:

Zn(s) + NO3(aq) Zn

2+(aq) + NH4

+(aq) (acidic solution)

Step 1: Assign oxidation numbers and determine the oxidized and reduced species and number

of electrons involved.

0 +5 +2 –3

Zn + NO3 Zn

2+ + NH4

+

Step 2: Set up half-reactions.

Oxidation loses electrons (write as product)

Reduction gains electrons (write as reactant)

Oxidation half-reaction Reduction half-reaction

Zn Zn2+

+ 2 e–

NO3– + 8 e

– NH4

+

Step 3: Balance atoms; H2O molecules and H+ ions may be added as needed

Oxidation half-reaction Reduction half-reaction

Zn Zn2+

+ 2 e–

(balanced; no action needed)

NO3– + 8 e

– NH4

+

Balance O atoms by adding H2O molecules:

NO3 + 8 e

– NH4

+ + 3 H2O

Balance H atoms by adding H+ ions:

NO3 + 10 H

+ + 8 e

– NH4

+ + 3 H2O

Check to see that atoms and charges are balanced for each half-reaction,

Chemistry 102 Chapter 18

7

Step 4: Equalize loss and gain of electrons.

Oxidation half-reaction Reduction half-reaction

[ Zn Zn2+

+ 2 e– ] x 4

4 Zn 4 Zn2+

+ 8 e–

[ NO3 + 10 H

+ + 8 e

– NH4

+ + 3 H2O ] x 1

NO3 + 10 H

+ + 8 e

– NH4

+ + 3 H2O

Step 5: Add up half-reactions and cancel electrons.

4 Zn + NO3

+ 10 H

+ + 8e 4 Zn

2+ + 8e + NH4

+ + 3 H2O

Check to see that atoms and charges are balanced for the overall reaction

Examples:

Balance the following redox reaction in acidic solution:

1. Br2 (l) + SO2 (g) Br– (aq) + SO4

2– (aq)

2. H2O2 (aq) + MnO4– (aq) Mn

2+ (aq) + O2 (g)

Chemistry 102 Chapter 18

8

2. Basic Solution (OH ions and H2O molecules may be added as needed)

Basic Idea: O and H will be balanced as though the solution were acidic

In a later step, the acidic solution will be converted to a basic solution

Balance the following redox reaction that takes place in basic solution:

MnO4(aq) + SO3

2 (aq) MnO2(s) + SO4

2(aq)

Step 1: Assign oxidation numbers and determine the oxidized and reduced species and number

of electrons involved.

+7 +4 +4 +6

MnO4(aq) + SO3

2 (aq) MnO2(s) + SO4

2(aq)

Step 2: Set up half-reactions.

Oxidation loses electrons (write as product)

Reduction gains electrons (write as reactant)

Oxidation half-reaction Reduction half-reaction

SO32–

SO42–

+ 2 e–

MnO4– + 3 e

– MnO2

Step 3: Balance atoms; H2O molecules and H+ ions may be added as needed

Oxidation half-reaction Reduction half-reaction

SO32–

SO42–

+ 2 e–

Balance O atoms by adding H2O molecules:

SO32–

+ H2O SO42–

+ 2 e–

Balance H atoms by adding H+ ions:

SO32–

+ H2O SO42–

+ 2 e– + 2 H

+

MnO4– + 3 e

– MnO2

Balance O atoms by adding H2O molecules:

MnO4– + 3 e

– MnO2 + 2 H2O

Balance H atoms by adding H+ ions:

MnO4– + 3 e

– + 4 H

+ MnO2 + 2 H2O

Check to see that atoms and charges are balanced for each half-reaction,

Chemistry 102 Chapter 18

9

Step 4: Equalize loss and gain of electrons.

Oxidation half-reaction Reduction half-reaction

[SO32–

+ H2O SO42–

+ 2 e– + 2 H

+] x

3

3 SO32–

+ 3 H2O 3 SO42–

+ 6 e– + 6

H+

[MnO4– + 3 e

– + 4 H

+ MnO2 + 2 H2O] x

2

2 MnO4– + 6 e

– + 8 H

+ 2 MnO2 + 4 H2O

Step 5: Add up half-reactions and cancel electrons.

3 SO3

2 + 3 H2O + 2 MnO4

+ 8 H

+ 3 SO4

2 + 6 H

+ + 2 MnO2 + 4 H2O

Note that the H

+ ions and H2O molecules may be canceled and the equation becomes:

3 SO3

2+ 2 MnO4

+ 2 H

+ 3 SO4

2 + 2 MnO2 + H2O

Step 6: Add OH

– to cancel H

+ ion by forming H2O molecules

3 SO32

+ 2 MnO4

+ 2 H+

+ 2 OH

3 SO42

+ 2 MnO2 + H2O + 2 OH

2 H2O

3 SO32

+ 2 MnO4 + 2 H2O 3 SO4

2 + 2 MnO2 + H2O + 2 OH

Cancel one more time the H2O molecules:

3 SO3

2 + 2 MnO4

+ H2O 3 SO4

2 + 2 MnO2 + 2 OH

Check to see that atoms and charges are balanced for each half-reaction,

NOTE:

For an alternate method of balancing basic solutions see “Redox Review” on my website

Chemistry 102 Chapter 18

10

Examples:

Balance the following redox reactions in basic solution:

1. Cr(OH)4– (aq) + H2O2 (aq) CrO4

2– + H2O (l)

2. MnO4– (aq) + Br

– (aq) MnO2 (s) + BrO3

– (aq)

Chemistry 102 Chapter 18

11

ELECTROCHEMICAL CELLS

Electrochemical cells are systems consisting of electrodes that dip into an electrolyte and in which a

chemical reaction either uses or generates an electric current

There are of two types of electrochemical cells:

1. Voltaic Cells (galvanic cells, or battery cells)

These are electrochemical cells in which a spontaneous reaction generates an electric current

Example: An ordinary battery

2. Electrolytic Cells

These are electrochemical cells in which an electric current drives a non-spontaneous reaction.

Example: Electroplating of Metals

Voltaic Cells

Consist of two half-cells that are electrically connected

Each half-cell is made from a metal strip that dips into a solution of its metal ion

Zinc – Zinc Ion Half-Cell Copper – Copper Ion Half-Cell

(zinc electrode) (copper electrode)

Zinc strip Copper strip

Zn2+

Cu2

Chemistry 102 Chapter 18

12

VOLTAIC CELLS

Chemistry 102 Chapter 18

13

VOLTAIC CELLS

How does the voltaic cell function?

Basic Idea: Zinc tends to lose electrons more readily than Copper (Zn is more active than Cu)

Oxidation half-reaction Reduction half-reaction

Zn (s) Zn2+

(aq) + 2 e–

The electrons flow away from the

zinc strip into the external circuit.

The Zinc strip is used up.

Cu2+

(aq) + 2 e– Cu (s)

The electrons come from the external

circuit and deposit onto the Cu strip.

The Cu2+

ions plate out as solid copper.

Net Result: An electric current is generated through the external circuit.

When sketching and labeling a voltaic cell, follow the following guidelines:

The Electrodes:

Anode:

is the negative electrode

is the more active metal

Cathode:

is the positive electrode

is the less active metal

Electron Flow: Away from the anode Towards the cathode

Cell Reaction: Oxidation half-reaction Reduction half-reaction

Chemistry 102 Chapter 18

14

Salt bridge

SHORTHAND NOTATION FOR VOLTAIC CELLS

Electrochemical cells are often represented by a compact notation as shown below:

Zn (s) Zn2+

(aq) Cu2+

(aq) Cu (s)

Anode terminal Cathode terminal

Phase boundary Phase boundary

Anode electrolyte Cathode electrolyte

The Anode (Negative electrode) The Cathode (Positive electrode)

(the more active metal) (the less active metal)

The Oxidation half-cell The Reduction half-cell

Examples:

1. Write the cell notation for the reaction shown below:

2 Al (s) + 3 Zn2+

(a) 2 Al3+

(aq) + 3 Zn (s)

2. Write the half-reactions and the overall reaction for the redox reaction that occurs in the

voltaic cell shown below:

Sc (s) Sc3+

(aq) Ag+ (aq) Ag (s)

Chemistry 102 Chapter 18

15

HALF-REACTIONS INVOLVING GASES

electrical terminal

An inert material (ex: Platinum) serves as: and

electrode surface

A Hydrogen electrode

(catalyzes the half-reaction, but otherwise is not involved in it)

Acidic Solution

Cathode Reaction

Half Reaction: 2 H+

(aq) + 2 e– H2 (g)

Anode Reaction

Notation for the hydrogen electrode:

As an Anode As a Cathode

Pt H2 (g) H+ (aq) H

+(aq) H2 (g) Pt

Anode Reaction: Cathode Reaction:

H2(g) 2 H+(aq) + 2 e

– 2 H

+ (aq) + 2e

– H2 (g)

Chemistry 102 Chapter 18

16

Example:

1. Consider the voltaic cell shown below. (a) Identify and label the anode and the cathode,

(b) determine the direction of the electron flow and (c) write a balanced equation for the

overall reaction.

2. Write the notation for a cell in which the electrode reactions are:

2 H+(aq) + 2 e

– H2(g)

Zn (s) Zn2+

(aq) + 2 e–

3. Give the overall cell reaction for the voltaic cell with the notation shown below:

Cd (s) Cd2+

(aq) H+(aq) H2(g) Pt

Chemistry 102 Chapter 18

17

ELECTROMOTIVE FORCE

Through the external wire, the electrons are forced to flow:

From the negative electrons To the positive electrode

(Anode) (Cathode) (high electric potential) (low electric potential)

The Electrical Work needed to move an electrical charge (the electron) through a conductor

depends on:

the total electrical charge moved, and

the potential difference

This difference in electrical potential (voltage) is measured in volts, V (SI unit of potential difference)

It follows: Electrical Work = Electrical Charge x Potential Difference

Joules = coulombs x volts

The magnitude of the electrical charge is conveniently measured as the electrical charge carried by

1 mole of electrons:

Electrical charge carried by one electron = 1.602 x 1019

coulombs/e

Number of electrons in 1 mole of electrons = 6.022 x 1023

electrons

Electrical Charge coulombs

carried by = 1.602 x 1019

x 6.022 x 1023

electrons

1 mole of electrons electron

Electrical Charge

carried by 9.65 x 104

coulombs 96,500 coulmbs

1 mole of electrons

Chemistry 102 Chapter 18

18

The Electrical Charge carried by 1 mole of electrons:

is equal to 9.65 x 104

coulombs (96,500 coulmbs)

is referred to as the Faraday constant, F

(in honor of Michael Faraday, who laid the foundations of Electrochemistry)

Let: w = the electrical work done by the voltaic cell in moving 1 mole of electrons from one

electrode to another

w = Electrical Work = (Electrical Charge) x (Potential Difference)

w = ( F ) (Potential Difference)

negative sign indicates that the

voltaic cell loses energy, as it does

work on the surroundings

Maximum

Electrical Work = Maximum Voltage = Maximum Potential Difference

obtainable

Electromotice Force Maximum Electrical Maximum

emf = Work = Maximum Voltage = Potential Difference

Ecell obtainable between the electrodes

measured with

a voltmeter

In the normal operation of a voltaic cell:

The Actual Voltage The Electromotive Force

Reason: it takes energy to drive a current through the cell itself

Conclusion:

Maximum Work Obtainable = wmax = – n F Ecell

Cell emf

Faraday constant = 9.65 x 105 C

Number of electrons transferred

in the overall cell equation

Chemistry 102 Chapter 18

19

Examples:

1. What is the maximum electrical work that can be obtained from 6.54 g of zinc metal that

reacts in a Daniell cell (Zn as an anode and Copper as a cathode), whose emf is 1.10 V.

The cell reaction is : Zn (s) + Cu2+

aq) Zn2+

(aq) + Cu (s)

Wmax = – n F Ecell

To determine “n”, write out the half-reactions:

Anode (–) half-reaction Cathode (+) half-reaction

Zn (s) Zn2+

(aq) + 2 e– Cu

2+ (aq) + 2 e

– Cu (s)

Note that: n = 2

wmax = – n F Ecell = – (2) (9.65 x 10

4 C) (1.10 V) = – 2.12 x 10

5 J/mol

The maximum work for 6.54 g of Zn(s) is:

1 mol Zn – 2.12 x 105 J

6.54 g Zn x x = – 2.12 x 104 J

65.39 g Zn 1 mol Zn

2. Calculate the free energy change (G0) for the reaction shown below with standard

potential of 0.92 V at 25 C:

Al (s) + Cr3+

(aq) Al3+

(aq) + Cr (s)

(Hint: recall that G = maximum work)

Chemistry 102 Chapter 18

20

STANDARD CELL Emf’s AND STANDARD ELECTRODE POTENTIALS

Emf is a measure of the driving force of the cell half-reactions

Example: The Daniell Cell

Anode half-reaction (Oxidation) Cathode half-reaction (Reduction)

Zn (s) Zn2+

(aq) + 2e– Cu

2+(aq) +2e

– Cu (s)

Each of the two ions (Zn2+

and Cu2+

) has a certain tendency to acquire electrons from the its

respective electrode and become reduced

Zn

2+(aq) + 2e

– Zn (s) Cu

2+(aq) + 2e

– Cu (s)

Smaller tendency to acquire electrons

Lower potential to undergo reduction

Is forced to undergo Oxidation

Greater tendency to acquire electrons

Greater potential to undergo reduction

Is forced to undergo Reduction

Reduction Potential = the tendency of the metallic ion to become reduced

Ecell = the difference in the tendencies of the two ions to become reduced

Ecell

Reduction Potential

of the substance

that actually undergoes

reduction

Cu2+

/Cu

Reduction Potential

of the substance

that is forced to undergo

oxidation

Zn2+

/An

Ecell = Ered (cathode) – Ered (anode)

For the Daniell cell:

Ecell = ECu – EZn Reduction Potential Reduction Potential

of substance being of substance being

reduced oxidized

Chemistry 102 Chapter 18

21

An Oxidation half-reaction is the reverse of the corresponding Reduction half-reaction:

Reduction

Zn2+

(aq) + 2e– Zn(s)

Oxidation

It follows that:

Oxidation Potential for a half-reaction = – Reduction Potential for the reverse half-reaction

Ecell =

Reduction Potential

of the substance

that actually undergoes

reduction

Cu2+

/Cu

+

Oxidation Potential

of the substance

that is forced to undergo

oxidation

Zn2+

/An

Examples:

1. A voltaic cell is based on the following two half-reactions, shown below. Determine the

standard potential for this cell.

Cd2+

(aq) + 2 e– Cd (s) E = –0.403 V

Sn2+

(aq) + 2 e– Sn (s) E = –0.136 V

2. Using standard cell potentials in your text, calculate the emf for a cell that operates on the

following overall reaction:

2 Al (s) + 3 I2 (s) 2 Al3+

(aq) + 6 I– (aq)

Chemistry 102 Chapter 18

22

STANDARD ELECTRODE POTENTIALS

E cell = standard emf = emf of a voltaic cell operating under standard-state conditions:

solute concentrations are each 1M

gas pressures are each 1 atm

temperature is 25 C

To find E

cell a table of standard electrode potentials is needed.

Experimentally it is not possible to measure the potential of a single electrode.

However, it is possible to measure emf’s of cell constructed from various electrodes connected to a

chosen “reference electrode”

The “reference electrode” chosen is arbitrarily assigned a Potential of Zero, under standard conditions

This electrode is the standard Hydrogen electrode

1 atm pressure

2 H

+(aq) + 2 e

– H2(g) Standard Potential = E = 0.00 V

25 C

1 M acidic solution

Any substance that is more easily reduced than H+ has a (+) value of E

0 :

Cu2+

(aq) + 2e– → Cu (s) E

= + 0.34 V

Any substance that is more difficult to reduce than H+ has a (-) value of E

0

Zn2+

(aq) + 2e– → Zn (s) E = – 0.76 V

To find a standard electrode potential, the electrode is connected to a standard Hydrogen electrode

and the emf is measured with a voltmeter:

Chemistry 102 Chapter 18

23

Chemistry 102 Chapter 18

24

STRENGTHS OF OXIDIZING AND REDUCING AGENTS

reduction

Oxidized Species + n e– Reduced Species

oxidation

The higher the The higher the The stronger The larger (more +)

tendency of the tendency of the Oxidizing Agent the electrode reduction

species to gain species to be the species is potential (E) of the

electrons reduced species

2 F(aq) E = + 2.87 V Example: F2(g) + 2 e

Strong Oxidizing

Agent

The higher the The higher the The stronger The smaller (more -)

tendency of the tendency of the Reducing Agent the electrode reduction

species to lose species to be the species is potential (E) of the

electrons oxidized species

Li (s) E = – 3.04 V Example: Li+(aq) + e

Strong Reducing

Agent

Chemistry 102 Chapter 18

25

PREDICTING SPONTANEITY FOR OXIDATION-REDUCTION REACTIONS

spontaneous

Oxidized Species + n e– Reduced Species

nonspontaneous

Stronger Oxidizing Weaker Oxidizing

Agent (ex: F2) Agent (ex: 2 F)

nonspontaneous

Oxidized Species + n e– Reduced Species

spontaneous

Weaker Reducing Stronger Reducing

Agent (ex: Li+) Agent (ex: Li)

Chemistry 102

Chapter 18

26

Examples:

1. Does the following reaction occur spontaneously in the direction indicated, under standard conditions?

Cu2+

(aq) + 2 I(aq) Cu(s) + I2(s)

Write the half-reactions and look up the E values (Standard Reduction Potential)

I2(s) + 2e 2I

(aq) E = 0.54 V

Cu2+

(aq) + 2 e– Cu (s) E = 0.34 V

E(I2) E(Cu

2+)

I2 has a higher tendency to be reduced than Cu2+

I2 is a stronger oxidizing agent than Cu2+

nonspontaneous

Cu2+

(aq) + 2 I(aq) Cu(s) + I2(s)

weaker spontaneous stronger

oxidizing oxidizing

agent agent

2. Which is the stronger oxidizing agent, NO3

(aq) in acidic solution (to NO) or Ag

+(aq)?

First write the two appropriate reduction half-reactions:

NO3(aq) + 4H

+(aq) + 3 e

– NO(g) + 2 H2O(l) E = + 0.96 V

Ag+(aq) + e

– Ag(s) E = + 0.80 V

Compare the two reduction potentials:

E(NO3) E(Ag

+)

NO3

has a higher tendency to be reduced than Ag

+

NO3

is a stronger oxidizing agent than Ag

Chemistry 102

Chapter 18

27

EQUILBRIUM CONSTANTS AND EMF

The free energy change, G, for a reaction equals the maximum useful work of the reaction.

G = wmax

For a voltaic cell, this work is the electrical work, –nFEcell.

G = –nFEcell

Also recall that,

G = –RTlnK

Combining the last two equations give another method for obtaining the equilibrium constant for a

reaction:

nFEcell = RTlnK

or

cell

RT 2.303 RTE = ln K = log K

nF nF

Substituting values for constants R and F at 25C gives the equation shown below:

cell

0.0592E = log K (at 25 C)

n

Recall that free energy change, G, and standard free energy change, G, were related as shown

below:

G = G + RT ln Q

Therefore,

–nFEcell = –nFEcell + RT ln Q

Rearrangement leads to the Nernst equation shown below:

cell cell cell cell

RT 2.303RTE = E - ln Q or E = E - log Q

nF nF

Substituting values for constants R and F at 25C gives the equation shown below:

cell cell

0.0592E = E - log Q (at 25 C)

n

Chemistry 102

Chapter 18

28

Examples:

1. The standard emf for a Zn/Cu voltaic cell is 1.10 V. Calculate the equilibrium constant for the

reaction shown below:

Zn (s) + Cu2+

(aq) Zn2+

(aq) + Cu (s)

37.2 37

0.0592E = log K

n

0.05921.10 = log K

2

log K = 37.2

Taking antilog of both sides

K = 10 = 1.6x10

2. Calculate the equilibrium constant for the following reaction from the standard electrode potentials:

Fe (s) + Sn4+

(aq) Fe2+

(aq) + Sn2+

(aq)

3. What is the emf for the Zn/Cu voltaic cell in example 1 when

[Zn2+

] = 1.00x10–5

M and [Cu2+

] = 0.100 M

2+

2+

[Zn ]Q = =

[Cu ]

cell cell

0.0592E = E - log Q =

n

4. What is the emf for the following voltaic cell?

Zn Zn2+

(0.200 M) Ag+ (0.00200 M) Ag (s)


Recommended