Chemistry 102 Chapter 18
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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)