4.4 Electrochemistry
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ELECTROCHEMISTRY
Table of Content
ELECTROCHEMISTRY
...............................................................................................
1
Redox Reactions
.....................................................................................................
2
Oxidation Numbers
..........................................................................................
2
Displacement Reactions
..................................................................................
5
The Electrochemical Cell
.........................................................................................
7
Electrochemical Half-Cell
................................................................................
7
The Electrochemical Cell
..................................................................................
7
Standard Electrode Potential
...........................................................................
9
Uses of Electrochemical Cells
........................................................................
14
Electrolysis
..........................................................................................................
16
Preferential Discharge of Ions
During Electrolysis
.........................................................................................
16
Quantitative
Treatment
of
Electrolysis
.......................................................................................................
22
Applications of Electrolysis
............................................................................
23
Objectives
By the end of the topic the learner should be able to:
(a) Explain reduction and oxidation in terms of gain and loss of electrons.
(b) Determine changes in oxidation number to keep track of the movement of
electrons in redox reactions and write balanced redox equations.
(c) Describe the electrochemical cell and explain its working in terms of electron
transfer process.
(d) Draw cell diagrams using correct cell notations.
(e) Use displacement reactions to compare reducing and oxidising power of ions.
(f) Calculate the electromotive force of a cell given standard electrode potentials.
(g) State the role of water during electrolysis and explain the factors affecting
preferential discharge of ions.
(h) Relate the quantity of charge passed to the amount of substance liberated at
the electrodes and explain some applications of electrolysis.
Organizer
?
ELECTROCHEMISTRY
Electrochemistry
is the study of how chemical reactions produce electrical energy
and in turn how electrical energy causes chemical reactions.
These chemical reactions involve transfer of electrons.
Redox Reactions
A redox reaction
is one in which reduction and oxidation processes occur
simultaneously. Redox reactions involve electron gain and electron loss.
Gain of electrons is a reduction process.
The species that gains electrons is an
oxidising agent
.
Loss of electrons is an oxidation process
. The species that loses electrons is a
reducing agent.
The reaction between iron fillings and copper(II) sulphate solution can be used to
illustrate a redox reaction. When iron filings are added to a solution of copper(II)
sulphate, a
brown
solid which is copper metal is formed. The colour of the solution
changes from
blue
to
light-green
due to the formation of iron(II) ions in the solution.
Fe(s) + Cu
2+
(aq)
Fe
2+
(aq) + Cu(s)
The reaction between iron and copper(II) ions involves transfer of electrons from the
iron atoms to copper(II) ions. The reaction can be used to keep track of the transfer of
electrons during the reaction as illustrated by the following ionic half equations
Fe (s)
Fe
2
+
(aq) + 2e–
Cu
2+
(aq) + 2e
–
Cu(s)
In the first half equation, iron atoms lose electrons (gets oxidized) and form
iron(II)
ions
. Iron atoms acts as a reducing agent.
In the second half equation
copper(II) ions
gain electrons (gets reduced)
to form
copper atoms. The copper (II) ions is an oxidising agent.
Oxidation Numbers
An oxidation number is the
apparent charge
that an element has in a compound or
the
charge on an ion.
Oxidation number is written with the
plus (+) or minus (–) sign in front., ie +2 or –
3.
The knowledge of oxidation numbers helps one to keep track of electron movements in
redox reaction and to understand the naming of inorganic compounds.
Rules of Assigning Oxidation Numbers
1.
The oxidation number of an
uncombined element is zero (0)
, e.g., in molecules,
O
2
, Cl
2
, H
2
,
the oxidation number of all the atoms is zero.
Physical
2
2.
The charge on an
ion containing one element
is equal to the
oxidation number
of that element
. For example,
Ion
Na
+
S
2
-
Mg
2
+
N
3–
O
2
–
H
+
Oxidation
number
+1
-2
+2
–3
–2
+1
3.
Oxidation number of hydrogen in all compounds that contain it is + 1 except in
metal hydrides where it is –1.
Compou
nd
HC
l
H
2
O
H
F
Na
H
Mg
H
2
Oxidation
number
+1
+1
+
1
–1
–1
4.
Oxidation number of oxygen in all compounds that contain it is –2, except in
peroxides where it is –1 and OF
2
where it is +2.
Compound
H
2
O
Cu
O
H
2
O
2
OF
2
Oxidation
number
–2
–2
–1
+2
5.
In compounds, the sum of the oxidation numbers of all constituent atoms is equal to
zero, e.g.,
Compound
H
2
O
Na
2
O
2
NaCl
Oxidation
number
2 (+1) –
2=0
2 (+1) + 2(–1) =
0
(+1) + (–1) =
0
6.
In ions containing more than one element, the overall charge is equal to the sum of
the oxidation numbers of the constituent elements.
NH
4
+
OH–
SO
4
2–
–3 + 4 (+1)
= +1
–2 + (+1) =
–1
+ 6 + 4 (–2)
= –2
When the oxidation number of an element in a compound or ion is not known,
it is calculated from those of others by using rule 5 and 6 respectively.
Some elements have variable oxidation number. A good example is nitrogen.
Speci
es
Oxidation number
Species
Oxidation number
NO
3
–
+ 5
N
2
O
+ 1
NO
2
+ 4
N
2
0
NO
+ 2
NH
3
, NH
4
, Mg
3
N
2
– 3
Example 1
What is the oxidation number of sulphur in sulphuric acid, H
2
SO
4
?
The sum of oxidation numbers in H
2
SO
4
= 0 (Rule 5)
2 (Oxidation number of H) + (Oxidation number of S) + 4 (Oxidation number of O) = 0
2 (+ 1) + oxidation number of S + – 8 = 0
(+ 2) + oxidation number of S + 4 (– 2) = 0
Oxidation number of S = + 6
Therefore the oxidation number of sulphur in Sulphuric(VI) acid is +6
Example 2
Determine the oxidation number of manganese in MnO
4
–
The sum of oxidation number in MnO
4
–
= –1 (Rule 6)
ELECTROCHEMISTRY
3
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Use of oxidation numbers
1.
Naming compounds
.
Oxidation numbers are used for assigning names to compounds of elements which
have more than one oxidation number.
For example, copper has two oxidation numbers + 1 and + 2. Compounds containing
copper with an oxidation number of +1 are referred to as copper(I) compounds. Those
compounds containing copper with a oxidation number of +2 are called copper(II)
compounds.
The oxidation state of an element in a compound is always denoted by a
Roman number written in brackets, as shown in the table below.
Substance
Oxidation number of:
IUPAC name
CuSO
4
Cu (+2)
Copper(II) sulphate
CuCl
Cu (+1)
Copper(I) chloride
FeS
Fe (+2)
Iron(II) sulphide
H
2
SO
3
S (+4)
Sulphuric(IV) acid
H
2
SO
4
S (+6)
Sulphuric(VI) acid
K
2
Cr2O
7
Cr (+6)
Potassium
dichromate(VI)
KMnO
4
Mn (+7)
Potassium
manganate(VII)
CO
C (+2)
Carbon(II) oxide
CO
2
C (+4)
Carbon(IV) oxide
SO
2
S (+4)
Sulphur(IV) oxide
SO
3
S (+6)
Sulphur(VI) oxide
2.
Keeping track of electron movement in redox reactions.
Knowledge of oxidation number helps in determining whether a reaction is a redox one
or not. It also helps in determining which substance has been oxidised or reduced.
Oxidation involves increase in oxidation number while reduction involves
decrease in oxidation number.
Consider the following reaction between acidified iron(II) sulphate and hydrogen
peroxide.
2FeSO
4
(aq) + H
2
O
2
(aq) + H
2
SO
4
(aq)
2Fe
2
(SO
4
)
3
(aq) + 2H
2
O(l)
In the reaction above, iron(II) ions are converted to iron(III) ions, thus the oxidation
number of iron increases from +2 to +3. Such a change is an
oxidation
.
On the other hand the oxygen from the hydrogen peroxide undergoes a
reduction
by
having its oxidation number decrease from –1 to –2 on forming the water molecules.
The above is illustrated using an ionic equation thus,
Other Examples of Redox Reactions
1.
Reaction of a metal and water
Physical
4
Sodium undergoes oxidation because its oxidation number increases from 0 to + 1.
Hydrogen undergoes reduction since its oxidation number decreases from + 1 to 0.
2.
Reaction of a metal and an acid
Magnesium undergoes oxidation and its oxidation number increases from 0 to + 2 while
the hydrogen ion is reduced. The oxidation number of hydrogen decreases from +1 to
0.
Displacement Reactions
A displacement reaction takes place
when a more reactive element takes the
place of another element which is less reactive in a compound.
Reducing power of metals.
Metals higher in the reactivity series displace from solutions those metals which are
lower in the series.
For example, when magnesium is reacted with copper(II) sulphate solution, a
brown
solid which is copper metal is formed. The colour of the solution changes from
blue
to
colourless. This is because the blue copper (II) ions in the solution are displaced by
magnesium ions which are colourless. The ionic half equations for the formation of
magnesium ions and copper metal are:
Mg(s)
Mg
2+
(aq) + 2e
–
(oxidation step)
Cu
2+
(aq) + 2e–
Cu(s) (reduction step)
When the two ionic half equations are combined, the following overall ionic equation
is obtained:
Mg(s) + Cu
2+
(aq)
Mg
2+
(aq) + Cu(s)
The oxidation number of magnesium increases from 0 to +2 while that of copper
decreases from +2 to 0. Magnesium is
oxidised
and Copper is
reduced
.
Displacement reactions are therefore redox reactions. The
more reactive meta
l
(Magnesium) is the
reducing agent
while copper(II) ions are the
oxidising agent.
The more reactive elements such as
sodium
and
calcium
lose their electrons readily
and are
strong reducing agents
.
The
less reactive
metals such as lead and copper lose electrons less readily and are
weak reducing agents.
The order of reducing power is:
Potassium
Strongest reducing agent
Sodium
Calcium
Magnesium
Aluminium
Decreasing reducing power
ELECTROCHEMISTRY
5
Zinc
Iron
Lead
Copper
Silver
Weakest reducing agent
Other Displacement Reactions
1)
Aluminium displaces copper from a solution of copper(II) ions.
Oxidation step;
2Al(s)
2Al
3+
(aq) + 6e
–
Reduction step;
3Cu
3+
(aq) + 6e–
3Cu(s)
2Al(s) + 3Cu
2+
(aq)
Al
3+
(aq) + 3Cu(s)
2)
Copper metal displaced from a solution by silver ions.
Oxidation step;
Cu(s)
Cu
2+
(aq) + 2e
–
Reduction step;
2Ag
+
(aq) +2e
–
2Ag(s)
Cu(s) + 2Ag
+
(aq)
Cu
2+
(aq) + 2Ag(s)
Oxidizing Power of Halogens.
Halogens have a tendency to accept electrons and are therefore
strong oxidising
agents.
Among the halogens fluorine is the strongest oxidising agent. However, in most
reactions, chlorine is the most common halogen used as an oxidising agent.
The more reactive halogens oxidises the less reactive halogens and vice
versa.
For example, Chlorine displaces bromine and iodine from their solutions.
Oxidation step 2Br
–
(aq)
Br (l) + 2 e
–
Reduction step Cl
2
+ 2e
–
2Cl
–
(aq)
The oxidation number of bromine increases from –1 to 0 while that of chlorine decrease
from 0 to –1.
Bromine is oxidised
while
chlorine is reduced
.
Chlorine
is the
oxidising agent
and the
bromide ion is the reducing agent
.
The ionic equation for the displacement of iodine by chlorine is:
Cl
2
(g) + 2I
–
(aq)
2Cl
–
(aq) + I
2
(s)
The oxidation number of
iodine increases from –1 to 0
and that of
chlorine
decreases from 0 to –1. Iodine is oxidised
while
chlorine is reduced
.
The above reactions show that chlorine has a greater tendency to accept electrons than
both bromine and iodine. Chlorine takes electrons from the bromide and iodide ions
forming bromine and iodine respectively.
Physical
6
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Similarly,
bromine is more reactive than iodine
and
takes electrons from iodide
ions
. Bromine has a
higher tendency
to accept electrons than iodine. The ionic
equation for the reaction is:
Br
2
(l) + 2I
–
(aq)
2Br
–
(aq) + I
2
(s)
The
oxidation number of bromine
decreases from 0 to –1
and that of
iodine
increases from –1 to 0.
The greater the tendency of an element to accept electrons, the higher is its
oxidising power.
Among the halogens considered, chlorine is the strongest oxidising agent.
The order of oxidising power is;
Chlorine
Bromine
Decreasing oxidising power
Iodine
The Electrochemical Cell
An electrochemical cell is a device that generates a potential difference
between electrodes using chemical reactions.
Electrochemical Half-Cell
An
electrochemical half-cell
is formed by
dipping a metal rod (electrode) in an aqueous
solution of its ions, where some of its surface
atoms lose electrons and go into solution as
ions. The lost electrons remain on the metal
surface.
Metal atoms solution
Metal ions in
solution
M(s)
M
n+
(aq) + ne
–
The metal rod develops a negative charge and this attracts the ions back again, some
of the ions accept electrons from the rod and form atoms once more.
M
n+
(aq) + ne
–
M(s)
As the negative charge on the surface of the rod builds up, the rate at which the ions
combine with electrons increases until eventually it is equal to the rate at which metal
atoms lose electrons to form positive ions. At this point an equilibrium is established.
The equation for the equilibrium is:
Metal atoms
Metal ions
M(s)
M
n+
(aq) + ne
–
A potential difference is created between the metal rod and the positively charged ions
in the solution.
The concentration of electrons on the metal rod is measured by a quantity called the
electrode potential
.
ELECTROCHEMISTRY
7
The half-cell can be represented as: metal | metal ion. The vertical line represents the
phase boundary where a potential difference develops. For example, a zinc half-cell is
represented as;
Zn(s) | Zn
2+
(aq)
The tendency of metals to form ions when in contact with their ions differs from one
metal to another.
The Electrochemical Cell.
An electrochemical cell
is obtained when the half-cells of two different metals are
connected to form a complete cell so that the difference between the potential of the
half cells can be measured.
The
electrodes of the two half-cells
are connected by
metallic wires
while the
solutions are connected through a
salt-bridge
.
The salt-bridge is in the form of a
filter paper soaked in a saturated solution of
potassium nitrate or sodium nitrate
.
The salts chosen for a salt-bridge
must not react with either of the salt solutions
in the half cells
.
Electrons flow along the wire
from
the electrode with a
higher
concentration
of electrons
to
the
electrode
with
a
lower
concentration
of electrons.
The difference between the
electrode potentials of the two
electrodes
is
called
the
electromotive force (e.m.f.) of
the cell.
The e.m.f. is measured in
volts
using a
voltmeter
.
Functions of the Salt Bridge
The functions of the salt-bridge are:
Complete the circuit by making contact between the two solutions (electrolytes).
Maintains balance of charges in electrolytes by providing ions to replace those ions
that are used up or those that are formed.
Relative tendency of metals to Ionize.
The tendency of metals to form ions when in contact with their ions differs from one
metal to another. This property can be used to obtain electrochemical cells, for example
the
zinc-copper electrochemical cell
shown below.
Physical
8
When a
copper-copper
ions half-cell,
Cu(s) | Cu
2+
(aq)
is connected to a
zinc-zinc
ions half-cell, Zn(s) | Zn
2+
(aq),
the following observations are made:
(i)
The zinc rod in the zinc-zinc ions half-cell wears out.
(ii)
The intensity of the
blue colour of copper(II) sulphate
solution
decreases
and
red-brown
deposits appear on the copper rod in the copper-copper ions half-cell.
(iii)
A voltage of
1.10V
is registered by the
voltmeter
.
In the
Zn(s) | Zn
2+
| | Cu
2+
| Cu(s)
cell, the following equations represent what happens
in the two half cells:
Zinc electrode (anode)
Zn (s)
Zn
2+
(aq) + 2e
–
Copper electrode (cathode)
Cu
2+
(aq) + 2e
–
Cu(s)
In the
Zn (s) | Zn
2+
(aq
) half-cell the
oxidation number of zinc increases from 0 to
+2.
In the
Cu(s) | Cu
2+
(aq)
half-cell the
oxidation number of copper decreases from
+2 to 0
.
The anode is
defined as the
electrode at which oxidation takes place while the
cathode is the electrode at which reduction takes place
.
Oxidation
occurs at the
Zn(s) | Zn
2+
(aq) half-cell where electrons are released.
Reduction
takes place at the
Cu(s) | Cu
2+
(aq) where electrons are gained.
These reactions show that the
zinc electrode
has a
higher tendency to form ions
than the copper electrode when the metals are placed in solutions of their ions.
The
zinc electrode
has a
higher accumulation of electrons and is more
negative
compared to the
copper electrode
which has a
lower accumulation of
electrons.
Therefore, the
zinc terminal is relatively more NEGATIVE
with respect to the
copper terminal
.
When the two half cells are connected, electrons flow
FROM the zinc terminal
through the connecting wire TO the copper terminal
.
Electrons lost by the zinc electrode are gained by the copper(II) ions.
When the
two ionic half equations are combined,
the ionic equation for the
electrochemical cell is obtained.
Zn
2+
(s) + Cu(aq)
Zn
2+
(aq) + Cu(s)
The ionic equation and the e.m.f. of the electrochemical cell can be summed up in what
is called
a cell notation
.
Zn(s) | Zn2
2+
(aq) | | Cu
2+
(aq) | Cu(s) E = + 1.10 V
The
single vertical line
represents
phase boundaries
in the half-cells while the
two
vertical parallel lines
represent the
salt-bridge
.
The half-cell in which electrons are released
(oxidation takes place)
is always on the
left– hand side
of the cell diagram, i.e.,
Zn(s) | Zn
2+
(aq).
Electrons flow FROM the left hand half-cell TO the right hand half-cell.
ELECTROCHEMISTRY
9
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Standard Electrode Potentials
The standard electrode potential
of any
element | element ions half-cell
is
taken as the
difference between its potential and that of hydrogen | hydrogen
ions half-cell.
The chosen standard electrode is
hydrogen
and is usually referred to as the
standard
hydrogen half cell
. Being the reference electrode, it is assigned an
electrode
potential 0.00 V.
The standard conditions for measuring electrode potential are:
(i) Temperature of 25°C.
(ii) All solutions have a concentration of 1 mole per litre (1 M).
(iii) Pressure of 1 atmosphere.
Platinised platinum
electrode is used as the electrode when the half-cell does not
include a metal, e.g., H
2
(g) | H
+
(aq).
The platinised platinum electrode has three functions:
(i) It acts as an inert metal connection to the H | H
+
(aq) system.
(ii) It provides a surface area on which dissociation of hydrogen molecules can take
place, i.e.,
H
2
(g)
→
2H
+
(aq) + 2e
–
(iii) It serves as an electrical conductor to the external circuit.
The hydrogen electrode consists of an inert
platinum electrode which is immersed in a 1.0
mole per litre solution of hydrogen ions, H
+
Hydrogen gas is bubbled on the platinum
electrode which is dipped in a solution containing
1 M hydrogen ions.
½ H
2
(g)
H
+
(aq) + e
–
The standard hydrogen half-cell is presented as:
Pt(s), H
2
(g) | H
+
(aq).
While the standard electrode potential, E for this reference half-cell which is zero can be
represented as:
½ H
2
(g)
H
+
(aq) + e
–
E = 0.00 V
The
standard electrode potential difference is
the potential difference for a cell
comprising a particular element in contact with one molar solution of its ions and the
standard hydrogen electrode. It is denoted by the symbol, E
θ
.
If an element has a greater tendency
to lose electrons than hydrogen, the
electrode potential of its half-cell is
negative with respect to the hydrogen
half-cell. (e.g., zinc)
The ionic half equations for the
reactions occurring at the electrode
are:
Physical
10
Zn (s)
Zn
2+
(aq) + 2e
–
E
θ
= 0.76 V
2H
+
(aq) + 2e
–
H
2
(g) E
θ
= 0.00 V
The overall ionic equation is:
Zn(s) + 2H
+
(aq)
Zn
2+
(aq) + H
2
(g) E
θ
= – 0.76 V
Similarly, if a F | F
–
(aq) half-cell is connected with the Pt(s)H(g) | H
+
(aq) half-cell, the
e.m.f. registered for the cell is + 2.87 V. The half-cell reaction is as follows:
F
2
(g) + 2e
–
2F
–
(aq)
H
2
(g)
2H
+
(aq) + 2e
–
The overall ionic equation being:
H
2
(g) + F
2
(g)
2F
–
(aq) + 2H
+
(aq) E
θ
= + 2.87 V
On the other hand, if the tendency of an electrode to lose electrons is lower than the
hydrogen electrode, the electrode is positive with respect to hydrogen electrode and its
potential is positive, e.g., copper.
Standard electrode potentials are sometimes referred to as
standard reduction
potential
because they relate to the reduction reactions.
The table of standard electrode potentials for some elements is arranged so that the
strongest oxidising agent, fluorine, which has the most positive value for E° is at the
top of the list. The weakest oxidising agent, lithium ions, Li
+
, with the most negative
value of E° is at the bottom.
Similarly, fluoride ions is the weakest reducing agent while lithium is the strongest
reducing agent.
ELECTROCHEMISTRY
11
Uses of Standard Electrode Potentials
Standard electrode potentials are used in:
(i)
Comparing the oxidising and reducing powers of substances.
(ii)
Determining the e.m.f. of a cell.
(iii)
Predicting whether or not a reaction will take place.
Comparing Oxidising and Reducing Power
Lithium with E
θ
= – 3.04 V has the highest tendency to lose electrons and therefore it is
the
strongest reducing agent.
The more negative the E
θ
value the greater the
reducing power. Lithium has the least tendency to accept electrons hence it is the
weakest oxidising agent.
Fluorine with E
θ
of + 2.87 V has the highest tendency to accept electrons and therefore
the
strongest oxidising agent.
The more positive the E
θ
value, the greater the
oxidising power. Conversely, fluorine is the weakest reducing agent since it has the
least tendency to lose electrons.
Using Standard Electrode Potentials to calculate the e.m.f of a Cell
The e.m.f of a cell is obtained by changing the sign of the electrode potential of the
half-cell that undergoes oxidation and then adding to the electrode potential of the half-
cell that undergoes reduction.
E
θ
cell
= E
reduction
– E
oxidation
E
reduction
is the electrode potential of the half-cell that undergoes reduction.
E
oxidation
is the electrode potential of the half-cell that undergoes oxidation.
Physical
12
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Example 1
The reduction potentials of Mg(s) | Mg
2+
(aq) and Zn(s) | Zn
2+
(aq) half-cells
are:
Mg
2+
(aq) + 2e
–
Mg(s) E
θ
= – 2.37V
Zn
2+
(aq) + 2e
–
Zn(s) E
θ
= – 0.76 V
Using the electrode potentials, answer the following questions.
(i) Write an ionic equation for a cell made by combining the two half cells.
(ii) Calculate the e.m.f. of the cell formed in part (i).
(iii) Write the cell notation for the cell.
Solution
(i)
Since the electrode potential of magnesium is more negative, magnesium is the
stronger reducing agent. Zinc undergoes reduction while magnesium is oxidised.
The sign of the E
θ
value of Mg changes from negative to positive.
Mg(s)
Mg
2+
(aq) + 2e
–
+ 2.37 V
Zn
2+
(aq) + 2e
Zn(s)
–0.76 V
Mg(s) + Zn
2+
(aq)
Mg
2+
(aq) + Zn(s)
+ 1.61 V
(ii)
The e.m.f. of the cell is obtained by changing the sign of the electrode potential
of magnesium and adding them, i.e. + 2.37 V + (– 0.76) = + 1.61 V.
(iii)
Mg(s) | Mg
2+
(aq) | | Zn
2+
(aq) | Zn (s) E
θ
cell
= + 1.61V
Example 2
Calculate the e.m.f. for the electrochemical cell represented below:
Al(s) | Al
3+
(aq) | | Zn
2+
(aq) | Zn(s)
Given that:
Al
3+
(aq) + 3e
–
Al(s) E° = – 1.66 V
Zn
2+
(aq) + 2e
–
Zn (s) E° = –0.76 V
Solution
Al(s)
Al
3+
(aq) + 3e
–
+ 0.66 V
Zn
2+
(aq) +2e
–
Zn(s) –0.76 V
To combine the two half equations, the number of electrons should be equal.
To do this, we multiply the first equation by 2 and the second equation by 3.
The electrode potentials remain the same. This is because the voltage does
not depend on the number of electrons flowing.
2A(s)
2Al
3+
(aq) + 6e
–
+ 1.66 V
3Zn
2+
(aq) + 6e
–
3Zn(s)
–0.76 V
2Al(s) + 3Zn
2+
(aq)
2Al
3+
(aq) + 3Zn (s)
+ 0.90 V
Or
E
θ
cell
= E
θ
R.H.S
– E
θ
L.H.S
= – 0.76 V – (– 1.66 V)
= – 0.76 V + 1.66 V
= + 0.90 V
ELECTROCHEMISTRY
13
Example 3
Use the cell representation below to answer the question that follows
Cu(s) | Cu
2+
(aq) | | Ag
+
(aq) | | Ag(s) E
θ
cell
= + 0.46 V
Given that the E value for Ag
+
(aq) | Ag(s) is + 0.80 V, calculate the E
θ
value for
Cu(s) | Cu
2+
(aq).
Solution
E
θ
Cell
= E
θ
R.H.S
– E
θ
L.H.S
Substituting
0.46 V = 0.180 V – E
L.H.S
0.46 V – 0.80 V = –E
L.H.S
– 0.34 = – E
L.H.S
E
θ
L.H.S
= + 0.34 V
Example 4
Use the standard electrode potentials for elements A, B, C, D and E given
below to answer the questions that follow. The letters do not represent actual
symbols of elements.
E
θ
(volts)
A
2+
(aq) + 2e
–
A(s)
–2.37
B
2+
(aq) + 2e
–
B(s)
–0.76
C
+
(aq) +e
–
½ C
2
(g)
0.00
D
2+
(aq) +2e
D
2
(s)
+0.34
½ E
2
(g) + e
–
E
–
(aq)
+ 1.36
(i) What is the E
θ
value of the strongest oxidising agent? Explain.
Answer:
+ 1.36 most positive.
(ii) Which two of the above elements would produce the largest e.m.f or
potential difference in an electrochemical cell Explain.
Answer
:
A and E, the elements with the most positive E
θ
and the most negative E
θ
.
(iii) What would be the initial potential difference of the cell chosen in(ii)
above?
Answer:
E.m.f of cell = E
reduction
– R
oxidation
= 1.36 – (–2.37)
= 1.36 V + 2.37 V
= + 3.73 V
(vi) Write the cell representation for the electrochemical cell formed
.
Answer:
A(s) | A
2+
(aq) | | E
2
(g) | E
–
(aq), Pt E
θ
= 3.73 V
Using standard Electrode potential to predict it a Reduction will take place
Previously it was established that Zn reduces Cu
2+
Zn(s)
Zn
2+
(aq) + 2e
+ 0.76 V
Cu
2+
+ 2e
–
Cu(s)
+ 0.34 V
Physical
14
Zn(s) + Cu
2+
(aq)
Zn
2+
(aq) + Cu(s)
+ 1.10 V
The cell potential or e.m.f., + 1.10 V is positive showing the reaction takes place. The
e.m.f. for the reverse reaction:
Cu(s) + Zn
2+
(aq)
Cu
2+
(aq) + Zn(s) is E
θ
= – 1.10 V
The negative value implies that the reaction is unlikely to occur.
In general reactions
with an overall positive e.m.f can take place; while those with negative: e.m.f.
cannot.
Example
Predict whether a reaction will occur between iodine and chloride ions.
I
2
(aq) + 2e
–
2I
–
(aq) E
θ
= + 1.36 V
Cl
2
(aq) 2e
–
2Cl
–
(aq) E
θ
= + 1.51 V
Solution
Adding the ionic half equations;
I
2
(aq) + 2e
–
2I
–
(aq)
E
θ
= + 1.36 V
2Cl(aq)
Cl
2
(aq) + 2e
E
θ
= –1.51 V
I
2
(aq) + 2Cl
–
(aq)
2I
–
(aq) + Cl
2
(g)
E
θ
= –0.15 V
The overall E
θ
of the cell is negative. Therefore, iodine cannot displace chlorine from a
chloride solution.
Uses of Electrochemical Cells
Electrochemical cells are used as a source of energy.
Dry Cells
Dry cells are used in a wide range of electrical appliances such as radios, watches,
clocks, flashlights and electric bells. The dry cells are cheap and convenient to use
because they contain the electrolyte in form of a paste rather than a liquid therefore
cannot spill or leak.
An example of a dry cell is the
Le’ Clanche cell
shown below.
It consists of a
zinc can which forms
the negative terminal
and a
graphite rod
which is the
positive
terminal.
The graphite rod is surrounded by a
paste of ammonium chloride and
zinc
chloride,
and
powdered
manganese(IV) oxide
mixed with
carbon.
The
powder increases the surface area of the positive terminal
.
The
function
of
manganese(IV) oxide
is to
oxidise the hydrogen
produced at the
electrode
to water
thus
preventing any bubbles from coating the carbon
terminal which would reduce its efficiency.
At the negative terminal:
Zn(s)
Zn
2+
(aq) + 2e
–
At the positive terminal,
ammonium ions
are converted to
ammonia and hydrogen
gases
ELECTROCHEMISTRY
15
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2NH
4
+
(aq) + 2e
–
2NH
3
(g) + H
2
(g)
The gases produced
do not escape
but are
immediately used up in other
reactions
. The
hydrogen is oxidised to water
by the
manganese(IV) oxide.
Ammonia
forms a
complex
with the
zinc chloride
in the paste.
A simple dry cell can produce a potential of
1.5 V.
Dry ammonium chloride does not conduct an electric current
hence a
paste
,
which is
an electrolyte is used.
Such a cell is called a
primary cell
because
once the cell is used to supply energy
the chemicals are used up and therefore the cell has to be discarded (it
cannot be recharged).
Some cells can be reused after being recharged. These are called secondary cells. The
lead acid accumulator is the most common
secondary cells
.
Accumulators
The main features of a lead-acid accumulator are the
lead plate
which is the
negative
terminal
and the
lead (VI) oxide plate
which is the
positive terminal
. Both of
these electrodes dip into an aqueous solution of sulphuric(VI) acid.
At the
negative terminal
, lead atoms
lose electrons to form lead(II) ions.
Pb(s)
Pb
2+
(aq) + 2e
–
At the
positive terminal
,
lead(IV) oxide reacts with hydrogen ions in sulphuric
(VI) acid
forming
lead(II) Ions
:
PbO
2
(s) + 4H
+
(aq) + 2e
–
Pb
2+
(aq) + 2H
2
O(l)
The
lead (II) ions
formed
react instantly with the sulphate ions
to form
lead(II)
sulphate
which is insoluble and
adheres
to the electrodes.
Pb
2+
(aq) + SO
4
2–
(aq)
PbSO
4
(s)
The net reaction that takes place is:
As the battery
discharges
,
lead and lead(IV) oxide
are
depleted
and the
concentration of sulphuric(VI) acid decreases.
Since the
density of the aqueous solution depends on the concentration of
sulphuric(VI) acid, measurement of its density can be used as means of
telling how far the battery is discharged.
During
recharging
of the battery, the electrode reactions shown are
reversed
so as to
restore its original reactants:
Fuel Cells
Fuel cells are
electrochemical
cells which
convert the chemical energy of a fuel
directly to electrical energy
such as the hydrogen oxygen cell shown below.
At the
negative terminal
, hydrogen reacts
with hydroxide ions to form water and electrons
are released.
Physical
16
2H
2
(g) + 4OH
–
(aq)
4H
2
O(l) + 4e
–
At the
positive terminal
, oxygen and water acquire electrons to form hydroxide ions.
O
2
(g) + H
2
O(l) + 4 e
–
(aq)
4OH(aq)
The overall reaction in the hydrogen | oxygen cell is
2H
2
(g) + O
2
(g)
2H
2
O(l)
The cell goes on producing electricity as long as hydrogen and oxygen are fed into it, so
that
it
does not become exhausted like a primary cell.
The fuel cell unlike a secondary cell
does not store energy.
The electrode,
other than completing the circuit
also
catalyses
the reactions
which
increase the output of the cell.
Electrolysis
Electrolysis is the process in which electrical energy is used to cause non-
spontaneous chemical reactions to occur.
In these reactions, the substance undergoes chemical decomposition.
Preferential Discharge of Ions During Electrolysis
In the aqueous solution, there are more than two ions since water also ionises. During
electrolysis, only one of the anions and one of the cations can be discharged.
Preferential discharge therefore takes place, according to the factors discussed below.
Factors Affecting Preferential Discharge During Electrolysis
1.
The concentration of the electrolyte
A cation or anion whose concentration is high is preferentially discharged if the ions
are close in the electrochemical series.
2. The product obtained at the electrode depends on the
nature of electrode used.
3. Position in the Electrochemical Series
The ease of reduction of cations and oxidation anions depends on their position in
the electrochemical series. The cations high in the series require more energy to be
reduced. Anions high in the series require more energy to be oxidised.
ELECTROCHEMISTRY
17
1.
Electrolysis of dilute sodium chloride
Sodium chloride solution contains
sodium ions (Na
+
)
and
chloride
ions (Cl
–
)
from
sodium chloride,
hydrogen ions (H
+
)
and
hydroxide
ions (OH
–
)
from
water.
When an electric current is passed
through the solution,
chloride ions
(Cl
–
) and hydroxide ions (OH
–
)
migrate to the
anode
.
Hydroxide ions (E
θ
= + 0.04 V)
have a
greater tendency to lose electrons
compared to the chloride ions.
(E
θ
=
+1.36 V).
Reaction at Anode
4OH
–
(aq)
4OH(aq) + 4e
–
4OH(aq)
2H
2
O(l) + O
2
(g)
Overall;
4OH
–
(aq)
2H
2
O(l) + O
2
(g) + 4e
–
Sodium ions (Na
+
) and hydrogen ions (H
+
) migrate to the cathode but
hydrogen ions
(E
θ
= 0.00
volts) are
preferentially discharged
because
they have a greater
tendency to gain electrons than sodium ions (E
θ
= –2.71 volts).
Reactions at Cathode
The anion with a low
E
θ
value is
preferentially
The cations with a
higher E
θ
has a
higher tendency to
Physical
18
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4H
+
(aq) +4e
4H(aq)
4H(aq)
2H
2
(g)
Overall;
4H
+
(aq) + 4e
–
2H
2
(g)
Electrolysis of dilute sodium chloride evolves
oxygen gas at the anode
and
hydrogen gas at the cathode
. This is essentially the electrolysis of water since
oxygen and hydrogen are the constituents of water.
2.
Electrolysis of concentrated sodium chloride solution (Brine)
Brine is concentrated sodium chloride
solution.
The solution therefore contains
the same ions as dilute sodium chloride.
When an electric current is passed through
brine,
chloride ions (Cl
–
) and hydroxide
ions
(OH
–
) migrate to the anode
.
The
chloride ions (E
θ
= + 1.36 volts) are
preferentially discharged because of
their relatively high concentrations.
Reaction at Anode
2Cl
–
(aq)
2Cl(g) + 2e
–
2Cl(g)
Cl
2
(g)
Overall;
2Cl
–
(aq)
Cl
2
(g) + 2e
–
Sodium ions (Na
+
) and hydrogen ions (H
+
) migrate to the cathode.
At the cathodes, sodium ions
are not preferentially discharged
in spite of their high
concentration. This is because the
tendency of hydrogen ions (E
θ
= 0.000 volts) to
gain electrons is much higher than that of sodium ions(E
θ
= –2.71 volts).
Therefore,
hydrogen ions are preferentially discharged.
Reactions at Cathode
2H
+
(aq) + 2e
–
2H(g)
2H(g)
H
2
(g)
Overall;
2H
+
(aq) +2e
–
H
2
(g)
The discharge of hydrogen ions leads to an
increase in hydroxide (OH
–
) ions
concentration and the solution becomes alkaline.
ELECTROCHEMISTRY
19
As the electrolysis process
continues
, the
concentration of chloride ions
decreases and eventually hydroxide ions are oxidised to water and oxygen
gas.
3.
Electrolysis of dilute sulphuric (VI) acid.
Dilute sulphuric(VI) acid contains
sulphate (SO
4
2–
), hydroxide (OH
–
) and
hydrogen (H
+
) ions.
When an electric current is passed
through the dilute acid, sulphate and
hydroxide ions migrate to the anode
while the hydrogen ions migrate to
the cathode.
Reaction at anode
The
hydroxide ions(E
θ
= + 0.40 volts)
are
preferentially discharged
because they
have a
greater tendency to lose electron
s than sulphate ions (E
θ
= + 2.01 volts).
4OH
–
(aq)
4OH(aq) + e
–
4OH(aq)
2H
2
O(l) + O
2
(g)
Overall;
4OH
–
(aq)
2H
2
O(l) + O
2
(g) + 4e
–
Reaction at Cathode
4H
+
(aq) + 4e
–
4H(g)
4H(g)
2H
2
(g)
Overall;
4H
+
(aq) + 4e
–
2H
2
(g)
The
four electron
s lost by hydroxide ions to form one mole of oxygen molecules are
gained by the
four hydrogen ions to form two moles of hydrogen molecules.
For
every mole of oxygen gas produced at the anode two moles of hydrogen are formed at
the cathode.
The
volume of hydrogen
is therefore
twice
that of
oxygen
.
The amount of
water in the electrolyte decreases
as the electrolysis process
continues. This causes an
increase in the concentration of the acid
.
4.
Electrolysis of aqueous magnesium sulphate
The ions present in magnesium sulphate
solution are magnesium (Mg
2+
), sulphate
(SO
4
2–
), hydrogen (H
+
) and hydroxide
(OH
–
).
When an electric current is passed through
the solution, hydroxide ions (E
θ
= + 0.40
volts) and sulphate ions (E
θ
= + 2.01 volts)
migrate to the anode.
Physical
20
Hydroxide ions are preferentially discharged because of their greater
tendency to lose electrons.
Reaction at Anode
4OH
–
(aq)
4OH(aq) +4e
–
4OH(aq)
2H
2
O(l) + O
2
(g)
Overall;
4OH
–
(aq)
2H
2
O(l) + O
2
(g) + 4e
Both magnesium (E
θ
= –2.38 volts) and hydrogen ions (E
θ
= 0.00 volts) migrate to the
cathode.
Hydrogen ions are preferentially discharged because of their greater
tendency to gain electrons.
Reactions at Cathode
4H
+
(aq) +4e
–
4H(g)
4H(g)
2H
2
(g)
Overall;
4H
+
(aq) + 4e
–
2H
2
(g)
It is observed that the
volume of oxygen gas produced at the anode and
hydrogen gas at the cathode are in the ratios of 1:2 respectively.
5.
Electrolysis of copper(II) sulphate solution using different
electrodes.
(a)
Using inert electrodes (carbon or platinum)
Copper(II) sulphate solution contains copper(II) (Cu
2+
), Sulphate (SO
4
2–
), hydrogen ions
(H
+
), and hydroxide (OH
–
) ions.
When the solution is electrolysed using carbon or
platinum electrodes, sulphate ions (E
θ
= + 2.01
volts) and hydroxide ions (E
θ
= 0.20 volts) migrate
to the anode while the copper(II) (E
θ
= +0.34
volts) and hydrogen ions (E
θ
= 0.00 volts) migrate
to the cathode.
Reactions at Anode
The
hydroxide ions have a greater tendency
to lose electrons
and therefore are
preferentially discharged
.
4OH
–
(aq)
4OH(aq) + 4e
–
4OH(aq)
2H
2
O(l) + O
2
(g)
Overall;
4OH (aq)
2H
2
O(l) + O
2
(g) + 4e
–
Reactions at Cathode
ELECTROCHEMISTRY
21
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The
copper(II) ions have greater tendency to gain electrons that the hydrogen
ions
and is therefore
preferentially discharged.
The atoms are deposited on the
cathode as
red-brown
coating.
As a result, the mass of the cathode increases while that of the anode
remains the same.
Cu
2+
(aq) + 2e
Cu(s)
The
concentration of copper(II) ions in solution decreases
and the
blue colour
of the
copper(II) sulphate
solution becomes pale and finally colourless.
Hydrogen ions
accumulate in the solutions
and therefore the
solution becomes
acidic.
(b) Using copper electrodes
When copper electrodes are used in the electrolysis of copper(II) sulphate solution
,
the
mass of the anode decreases,
while that of the
cathode increases
.
Sulphate and hydroxide ions migrate to the anode, but
none of them is discharged;
instead the
copper anode
is gradually oxidised and goes into solution.
Cu(s)
Cu
2+
(aq) + 2e
This explains the loss in mass of the anode. Less energy is needed for the copper anode
to lose electrons than hydroxide ions.
Hydrogen and copper(II) ions migrate to the
cathode
where
copper(II) ions are
preferentially discharged
because they have
greater tendency to accept
electrons.
Cu
2+
(aq) + 2e
Cu(s)
The cathode is thus
coated with a red-brown deposit of copper metal.
The amount of
copper oxidised
at the anode is
equal
to the
amount of copper
deposited on the cathode
and therefore the concentration of
copper(II) ions
in the
solution
remains the same.
The colour of the blue solution does not fade.
Carbon or platinum electrodes
allow passage of an electric current into and out
of the electrolyte without wearing out such electrodes.
Summary of Electrolysis
1.
Electrolyte:
dilute sodium chloride
Ions Present
Cations
Anions
Sodium, Na
+
(aq) and hydrogen H
+
(aq)
ions.
Hydrogen, H
+
(aq) ions discharged at
the cathode, because sodium is above
hydrogen in electro-chemical series.
Hydrogen gas evolved.
Chloride Cl
–
(aq) and hydroxide OH
–
(aq) ions.
Hydroxide (OH
–
)(aq) discharged at the
anode, because hydrogen ions required less
energy to discharge than chloride Cl
–
(aq)
ions.
Oxygen gas evolved.
2.
Electrolyte:
Brine (Concentrated Sodium chloride)
Ions Present
Physical
22
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Cations
Anions
Sodium, Na
+
(aq) and hydrogen H
+
(aq)
ions.
Hydrogen, H
+
(aq) ion discharged at
the cathode, because sodium is above
hydrogen in electro-chemical series.
Hydrogen gas evolved.
Chloride Cl
–
(aq) and hydroxide OH
–
(aq) ions
Hydroxide (OH
–
)(aq) discharged at the
anode, because hydrogen ions required less
energy. To discharge than chloride Cl
–
(aq)
ions.
Chlorine gas evolved.
3.
Electrolyte:
dilute sulphuric acid
Ions Present
Cations
Anions
Hydrogen, H
+
(aq)
Hydrogen, H
+
(aq) ions discharged at
the cathode, because no other
cations are present.
Hydrogen gas evolved.
Sulphate, SO
4
2–
(aq) and hydroxide, OH
–
(aq)
Hydroxide (OH
–
)(aq) discharged at the anode,
because hydroxyl ions require less energy to
discharge than sulphate ions.
Oxygen gas evolved.
4.
Electrolyte:
Magnesium sulphate
Ions Present
Cations
Anions
Magnesium, Mg
2+
(aq) and hydrogen, H
+
(aq) ions.
Hydrogen ions discharges at the cathode,
because magnesium is above hydrogen
in the electro-chemical series.
Hydrogen gas evolved.
Sulphate, SO
4
2–
(aq) and Hydroxide OH
–
(aq) ions.
Hydroxide ions discharged at the anode
because hydroxide ions require less
energy to discharge than sulphate ions.
Oxygen gas evolved.
5.
Electrolyte:
Copper(II) sulphate
Electrode:
Carbon rods
Ions Present
Cations
Anions
Copper, Cu
2+(
aq) and Hydrogen H
+
(aq)
ions.
Copper ions discharged at the cathode,
because copper is below hydrogen in
the electro-chemical series.
Colour of solution eventually fades.
Sulphate, SO
4
2–(
aq) and Hydroxide OH–(aq)
ions.
Hydroxide ions discharged at the anode
because hydroxide ions require less energy
to discharged than sulphate ions.
Oxygen gas evolved.
6.
Electrolyte:
copper(II) sulphate
Electrode:
Carbon
Ions Present
Cations
Anions
Copper, Cu
2+
(aq) and Hydrogen H
+
(aq)
ions.
Copper ions discharged at the cathode,
because copper is below hydrogen in the
electro-chemical series.
Colour of solution does not fades.
Sulphate, SO
4
2–
(aq) and Hydroxide OH
–
(aq)
ions.
No ion discharged at the anode instead the
electrode dissolves, and goes into solution
as copper (II) ions.
ELECTROCHEMISTRY
23
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Quantitative Treatment of Electrolysis
An electric current is measured in amperes. The quantity of electric charge(Q) is
measured in coulombs(C).
A coulomb is the quantity of electricity passed when a current (I) of one
ampere flows for a time(t) of one second.
The relationship between the mass of substance produced and the quantity of
electricity passed is the basis of
Faraday’s Law of electrolysis
which states that
th
e
mass of a substance produced during electrolysis is directly proportional to
the quantity of electricity passed
.
The quantity of electricity carried by one mole of electrons is a constant called a
Faraday (F)
and is equivalent to
96,487 coulombs
.
1 Faraday is equivalent to one mole of electrons. The number of electrons
required to deposit a given ion is equivalent to the charge on the ion.
Worked Examples
1.
What mass of copper would be deposited on the cathode when a steady
current of one ampere flows for 30 minutes through copper(II) sulphate
solution?
(Cu = 63.5) Faraday constant = 96,487 C mol
–1
)
Solution
Reaction at the cathode
Cu
2+
(aq) + 2e
Cu(s)
One mole of Cu ions required 2 moles of electrons.
Quantity of electricity (Q) = 1 × 30 × 60 coulombs.
1 mole of electrons carries a charge of 96,487 coulombs.
2 moles of electrons will carry 2 × 96,487 coulombs.
2 × 96,487 coulombs deposit 63.5 g of copper at the cathode.
Therefore 1 × 30 × 60 coulombs deposits:
2.
What volume of oxygen will be liberated at the anode when a current of 3
amperes is passed through magnesium sulphate solution for 45 minutes
and 30 seconds?
(Molar gas volume at r.t.p. = 24.0 litres, Faraday constant = 96,500
coulombs).
Solution
Reaction equation at the anode
4OH
–
(aq)
2H
2
O(l) + O
2
(g) + 4e
1 mole of electrons carry 96,500 coulombs.
4 moles of electrons carry 4 × 96,500 coulombs.
4 × 96,500 coulombs liberate 24 litres of oxygen.
Physical
24
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3 × (45 × 60) +30) coulombs will liberate
= 0.50922 litres.
3.
In an experiment to electrolyse copper(II) sulphate solution using copper electrodes,
0.2 amperes were passed through the solution for 1,930 seconds. The mass of
copper cathode increased from 6.35 to 6.478 g. Find the charge on a copper ion. (1
Faraday = 96,500 coulombs, Cu = 64).
Solution
Mass of copper deposited = (6.478 – 6.350) g = 0.128 g
Quantity of electricity passed = 0.2 × 1,930 = 386 C
0.128 g copper was deposited by 386 C
64 g of copper would be deposited by
C = 193,000 C
1 mole of copper atoms (Mass 64 g) require 193,000 C
Number of Faradays required to deposit 64 g of copper at cathode is therefore
Applications of Electrolysis
Extraction of Reactive Elements
Electrolysis is used in the extraction of reactive elements such as
sodium,
magnesium, aluminum and chlorine.
Electroplating
This is the process of using electricity to coat one metal with another. This is done to
protect some metals from corrosion. Electroplating is also done to make an article look
attractive. Gold plated watches, silver utensils are common items.
Sacrificial metal (cathodic protection)
Iron or steel structures are protected from corrosion through sacrificial protection either
by galvanising or cathodic protection.
Cathodic protection
Corrosion involves loss of electrons by an element to form ions. If it is a less reactive
metal it is connected to a more reactive metal by a conductor when the conditions for
causing corrosion are present, the more reactive metal ionises at the expenses of the
less reactive. The more reactive metal is sacrificed and the method is sacrificial
protection.
Galvanising
When the galvanised surface is scratched and iron is exposed, zinc passes into solution
as zinc ions rather than Fe
2+
ions. This is possible because zinc is easily oxidised than
iron.
Purification of Metals
ELECTROCHEMISTRY
25
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Copper and other less reactive metals are purified by electrolysis. The impure metal is
made the anode and pure metal the cathode. The electrolyte contains the cation of the
metals being purified.
Manufacture of Sodium Hydroxide and Chlorine from Electrolysis of
Concentrated Sodium Chloride (Brine)
Sodium hydroxide and
chlorine
are
manufactured by the
electrolysis of brine by
use of
mercury cell,
shown alongside.
The electrolyte in the mercury cell is a
concentrated solution of sodium chloride
(Brine)
. The
anode
in the cell is made of
carbon or titanium
because
they do not
react with chlorine gas.
While the cathode is a moving film of mercury.
When an electric current is passed through concentrated sodium chloride solution,
chloride (Cl
–
) ions and hydroxide (OH
–
) ions migrate to the
anode
.
Chloride ions are
preferentially discharged because of their relatively high concentration.
2Cl
–
(aq)
2Cl(g) + 2e
–
2Cl(g)
Cl
2
(g)
Both sodium (Na
+
) ions and hydrogen (H
+
) ions migrate to the
cathode (moving film
of mercury).
Hydrogen ions are not discharged because of the over-potential
(excess power) required to discharge it. Sodium ions are preferentially
discharged instead.
2Na
+
(aq) + 2e–
2Na(l)
The sodium atoms formed dissolve in the hot mercury to form
sodium amalgam
(Na Hg)
Na(l) + Hg(l)
NaHg(l)
The sodium amalgam is passed through a trough in the cell that contains
distilled
water.
The sodium in the amalgam then
reacts with water
to form a solution of
sodium hydroxide
and
hydrogen gas.
Hydrogen is pumped out to the required
place, while
mercury is regenerated and recycled.
2NaHg(l) + 2H
2
O(l)
2NaOH(aq) + 2Hg(l) + H
2
(g)
Physical
26
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The sodium hydroxide obtained this way is about
fifty per cent pure.
Pure sodium
hydroxide is obtained by
evaporating the water in the aqueous sodium
hydroxide solution to get pellets or flakes.
The process is
expensive
due to the high cost of mercury and the safety measures
applied since
mercury is poisonous
.
Review Exercises
1.
2006 Q 15 P1
Study the standard reduction potential given and answer the questions that follow.
(The letters are not the actual symbols of the elements).
E
θ
(volts)
ELECTROCHEMISTRY
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M
2+
(aq) + 2e
-
→
M(s)
-0.76
N
2+
(aq) + 2e
-
→
N(s)
-2.37
P
+
(aq) + e
-
→
P(s)
+0.80
Q
2+
(aq) + 2e
-
→
Q(s):
-0.14
(a) The standard reduction potential for Fe
2+
(aq) is -0.44 volts. Select the
element which would best protect iron from rusting.
(1 mark)
(b) Calculate the E
Ѳ
value for the cell represented as M(s)
/
M
2+
(aq)
//
P
+
(aq)
/
P(s).
(2 marks)
2.
2006 Q 1 P2
(a) What is an electrolyte?
(1 mark)
(b) State how the following substances conduct electricity.
(i)
Molten calcium chloride.
(1 mark)
(ii)
Graphite.
(1 mark)
(c) The diagram below shows a set up that was used to electrolyse aqueous
magnesium sulphate.
(i)
On the diagram above, using an arrow, show the direction of flow of
electrons.
(1 mark)
(ii)
Identify the syringe in which hydrogen gas would be collected.
Explain
(1 mark)
(d) Explain why the concentration of magnesium sulphate was found to have
increased at the end of the experiment.
(2 marks)
(e) During the electrolysis, a current of 0.72 A was passed through the electrolyte
for 15 minutes. Calculate the volume of gas produced at the anode. (1 Faraday
= 96 500 coulombs; molar gas volume is 24000 cm
3
at room temperature).
(4 marks)
3.
2006 Q 2b P2
Use the reduction potentials given below to explain why a solution containing
copper ions should not be stored in a container made of zinc.
Zn
2+
(aq) + 2e
-
→
Zn(s); E
θ
= -0.76 V
Physical
28
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Cu
2+
(aq) + 2e
-
→
Cu(s); E
θ
= +0.34 V
(2
marks)
4.
2007 Q 7 P1
(a) Use the information given below to draw a labelled diagram of an
electrochemical cell that can be constructed to measure the electromotive
force between G and J.
(2 marks)
G
2+
(aq) + 2e
-
→
G(s); E
θ
= - 0.74 V
J
2+
(aq) + 2e
-
→
J(s);
E
θ
= -0.14 V
(b) Calculate the E
θ
value for the cell constructed in (a) above.
(1
mark)
5.
2007 Q 21 P1
(a)
When brine is electrolyzed using inert electrodes, chlorine gas is
liberated at the anode instead of oxygen. Explain this observation.
(2 marks)
(b)
Name the product formed at the cathode.
(1 mark)
6.
2007 Q 28 P1
During the electrolysis of aqueous silver nitrate, a current of 5.0 A was passed
through the electrolysis for 3 hours.
(a)
Write the equation for reaction which took place at the anode.
(1
mark)
(b)
Calculate the mass of silver deposited (Ag = 108; 1 F=96500 C)
(2
marks)
7.
2008 Q 19 P1
Select a letter which represents a mono atomic gas.
E
θ
(Volts)
Zn
2+
(aq) + 2e
-
→
Zn (s)
-0.76
Pb
2+
(aq) +2e
-
→
Pb (s)
-0.13
Ag
+
(aq) + 2e
-
→
Ag (s)
+0.80
Cu
2+
(aq) + 2e
-
→
Cu (s)
+0.30
(a)
Write the cell representation for the electrochemical cell that would
give the highest E
(1 mark)
(b)
State and explain the observations made when a copper rod is placed
in a beaker containing silver nitrate solution.
(2 marks)
8.
2008 Q 21
The diagram below represents an experiment that was set up to investigate
movement of ions during electrolysis.
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When the circuit was completed, it was noticed that a blue colour spread towards
the right.
(a) Explain this observation
(2 marks)
(b) Write the equation for the reaction that occurred at the anode.
(1
mark)
9.
2008 Q 6 P2
The diagram below represents a set up that can be used to electrolyze aqueous
copper (II) sulphate.
(a) (i) Describe how oxygen gas is produced during the electrolysis.
(2 marks)
(ii) Explain why copper electrodes are not suitable for this electrolysis.
(2
marks)
(b) Impure copper is purified by an electrolytic process
(i)
Name one ore from which copper is obtained
(1
mark)
(ii) Write the equation for the reaction that occur at the cathode during the
purification of copper.
(1 mark)
(iii)In an experiment to electroplate a copper spoon with silver, a current of
0.5 A was passed for 18 minutes. Calculate the amount of silver
deposited on the spoon (n = 96500 coulombs, Ag = 108)
(3 marks)
(iv)
Give two reasons why some metals are electroplated
(2 marks)
10.
2009 Q 7 P1
When aluminium oxide was electrolysed, 1800kg of aluminium metal was
obtained.
(a)
Write an equation for the formation of aluminium metal.
(1
Physical
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mark)
(b)
Calculate the quantity of electricity in faradays used. (Al = 27)
(2
marks)
11.
2009 Q 10 P1
Hydrogen and oxygen can be obtained by electrolysis of acidified water. Using
equations for the reactions at the electrodes, explain why the volume of hydrogen
obtained is twice that of oxygen.
(2 marks)
12.
2009 Q 12 P1
The standard reduction potentials of two half cells are:
Ag
+
(aq) + e
-
→
Ag(s)
E
θ
= 0.80V
2H
2
O (l) + 2e
-
→
H
2
(g) + 2OH
-
(aq);
E
θ
= 0.83V
Draw a labelled diagram of an electrochemical cell that can be constructed using
the two half cells.
(3 marks)
13.
2009 Q 3 P2
The set-up below (figure 2) was used to electrolyse a bromide of metal D, DBr
2
(a) Write the equation for the reaction at the:
(i)
Cathode
(1 mark)
(ii)
Anode
(1 mark)
(b) The electrodes used in the experiment were made of carbon and metal D
which of the two electrodes was used as the anode? Give a reason.
(2 marks)
(c) Give a reason why this experiment is carried in a fume cupboard.
(1
mark)
(d) When a current of 0.4A is passed for 90 min, 2.3g of metal D were
deposited.
(i)
Describe how the amount D deposited was determined.
(3marks)
(ii) Calculate the relative atomic mass of metal D. (1 Faraday=96500
coulombs)
(3marks)
14.
2010 Q 7 P1
Complete the table below by writing the product formed at the electrodes during
the electrolysis of the electrolytes given in the table.
ELECTROCHEMISTRY
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(3 marks)
Electrolyte
Product at anode Product at cathode
Aqueous sodium
sulphate using inert
electrodes
(½mark)
(½mark)
Aqueous copper (II)
sulphate using copper
electrodes.
(1 mark)
(1 mark)
15.
2010 Q 19 P1
The half equations involved in a cell are:
2H
2
O (l) + 2e
-
→
H
2
(g) + 2OH-(aq): E
θ
= - 0.83V
O
2
(g) + 2H
2
O (l) + 4e
-
→
4OH
-
(aq):
E
θ
= + 0.40V
(a) Write the overall equation for the electrochemical cell.
(1
mark)
(b) Calculate the e.m.f. generated by a battery consisting of ten cells.
(1 mark)
(c) State one environment advantage of using these cells in spacecrafts.
(1 mark)
16.
2010 Q 1 P2
(a) Which one of the following compounds; urea, ammonia, sugar and copper (II)
chloride will conduct an electric current when dissolved in water? Give
reasons.
(2 marks)
(b) The diagram below shows an electrochemical cell. Study it and answer the
questions that follows.
Given the following;
Fe
2+
(aq) + 2e
→
Fe (s); E
θ
= - 0.44V
Zn
2+
(aq) + 2e
→
Zn (s); E
θ
= - 0.76 V
(i)
Show on the diagram using an arrow, the direction of flow of
electrons
(1 mark)
(ii) Name two substances that are used to fill the part labelled L
(2 marks)
(c) In an experiment to electroplate iron with silver, a current of 0.5 amperes was
passed through a solution of silver nitrate for one hour.
(i)
Give two reasons why it is necessary to electroplate iron with silver.
(2
marks)
Physical
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(ii) Calculate the mass of silver that was deposited on iron (Ag = 108, 1
Faraday= 96,500 coulombs)
(3 marks)
17.
2011 Q 12 P1, 2016 Q15 P1
Sodium hydroxide can be prepared by the following methods; I and II.
I.
Sodium metal
cold water
→
Sodium hydroxide + Hydrogen
II.
Concentrated
Process A
→
Sodium hydroxide + Chlorine + Hydrogen
sodium chloride
(a)
Name one precaution that needs to be taken in method
I
.
(1
mark)
(b)
Give the name of process
A
.
(1
mark)
(c)
Give one use of sodium hydroxide.
(1
mark)
18.
2011 Q 2 P2
The set-up below was used by a student to investigate the products formed when
aqueous copper (II) chloride was electrolysed using carbon electrodes.
(a) (i) Write the equation for the reaction that takes place at the cathode.
(1 mark)
(ii) Name and describe a chemical test for the product initially formed at the
anode when a highly concentrated solution of copper (II) chloride is
electrolysed.
(3 marks)
(iii)How would the mass of the anode change if the carbon anode was replaced
with copper metal? Explain.
(2
marks)
(b) 0.6g of metal
B
were deposited when a current of 0.45A was passed through
an electrolyte for 72 minutes. Determine the charge on the ion of metal B.
ELECTROCHEMISTRY
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(Relative atomic mass of
B
= 59, 1 Faraday = 96 500 coulombs)
(3 marks)
(c) The electrode potentials for cadmium and zinc are given below:
Cd
2+
(aq) + 2e
-
⇌
Cd(s);
E
θ
= - 0 .4V
Zn
2+
(aq) + 2e
-
⇌
Zn(s); E
θ
= -0 .76V
Explain why it is not advisable to store a solution of cadmium nitrate in a
container made of zinc.
(2 marks)
19.
2012 Q15 P1
Below is a representation of an electrochemical cell.
Pb(s)
/
Pb
2+
(aq)
//
Ag
+
(aq)
/
Ag(s)
(a) What does
//
represent?
(1
mark)
(b) Given the following:
E
θ
V
Pb
2+
(aq) + 2e
-
→
Pb(s);
- 0.13
Ag
+
(aq) + e
-
→
Ag(s);
- 0.80
Calculate the E.M.F of the electrochemical cell.
(2
marks)
20.
2012 Q28 P1
The apparatus shown in the diagram below were used to investigate the products
formed when concentrated sodium chloride was electrolysed using inert electrodes.
(a) Write the equation for the reaction that takes place at electrode A.
(1
mark)
(b) If the concentrated sodium chloride was replaced with dilute sodium chloride,
what product would be formed at electrode A? Explain.
(2 marks)
Physical
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21.
2012 Q5 P2
(a) The set up below was used to investigate the products formed at the
electrodes during electrolysis of aqueous magnesium sulphate using inert
electrodes. Use it to answer the questions that follow.
(i)
During the electrolysis, hydrogen gas was formed at electrode Y. Identify
the anode. Give a reason for your answer.
(2 marks)
(ii) Write the equation for the reaction which takes place at electrode X
(1
mark)
(iii)Why is the concentration of magnesium sulphate expected to increase
during electrolysis?
(2
marks)
(iv)
What will be observed if red and blue litmus papers were dipped
into the solution after electrolysis?
(2 marks)
(b) During electrolysis of magnesium sulphate, a current of 0.3a was passed for
30 minutes. Calculate the volume of gas produced at the anode
(Molar gas volume = 24dm3; 1 faraday = 96,500C)
(3
marks)
(c) State two applications of electrolysis
(1
mark)
22.
2013 Q6 P1
(a) A student electroplated a spoon with copper metal. Write an equation for the
process that took place at the cathode.
(1 mark)
(b) Calculate the time in minutes required to deposit 1.184g of copper if a current
of 2 amperes was used. (1 Faraday = 96500 coulombs, Cu=63.5).
(2 marks)
23.
2013 Q4 P2, 2016 Q4 P2.
(a) The set below can be used to produce sodium hydroxide by electrolyzing
brine
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(i)
Identify gas Y.
(1 mark)
(ii) Describe how aqueous sodium hydroxide is formed in the above set-up.
(2 marks)
(iii)One of the uses of sodium hydroxide is in the manufacturing of soaps. State
one other use of sodium hydroxide.
(1
mark)
(b) Study the information given in the table below and answer the question that
follows
Half reaction
Electrode potential E
θ
(V)
D
2+
(aq)+2e
-
→
D (s)
E
+
(aq)+e
-
→
E (s)
F (aq) + e
-
→
F
-
aq
G
2+
(aq) +2e
→
G(s)
H
2+
(aq) +2e
-
→
H (s)
J
+
(aq) + e
-
→
J(s)
-0.13
+0.80
+0.68
-2.87
+0.34
-2.71
(i)
Construct an electrochemical cell that will produce the largest e.m.f
(3
marks)
(ii) Calculate the emf of the cell constructed in(i) above
(2
marks)
(iii)Why is it
not
advisable to store a solution containing E
+
ions in a
container made of H?
(2 marks)
24.
2014 Q24 P1
(a) A student electrolyzed dilute sodium chloride solution using inert carbon
electrodes. Name the products at:
i)
Anode:
ii)
Cathode:
(2
marks)
(b) If the experiment was repeated using concentrated sodium chloride instead of
dilute sodium chloride solution, write the half equation at the anode.
(1 mark)
25.
2015 Q11 P1
Physical
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Dilute sulphuric (VI) acid was electrolysed using platinum electrodes.
Name the product formed at the anode and give a reason for your answer.
(2
marks)
26.
2015 Q18 P1
Study the standard electrode potentials in the table below and answer the
questions that follow.
E
θ
(volts)
Cu
2+
(aq) + 2e
-
→
Cu (s)
+ 0.34
Mg
2+
(aq) + 2e
-
→
Mg (s);
- 2.38
Ag
+
(aq) + e
-
→
Ag (s);
+ 0-80
Ca
2+
(aq) + 2e
-
→
Ca (s);
-2-87
(a) Which of the metals is the strongest reducing agent?
(1
mark)
(b) What observations will be made if a silver coin was dropped into an aqueous
solution of copper (II) sulphate? Explain.
(2 marks)
27.
2015 Q4 P2
(a) The diagram below represents a dry cell. Use it to answer the questions that
follows.
(i)
Which of the letters represent;
I.
Carbon electrode?
(1 mark)
II.
The electrolyte?
(1
mark)
(ii) One of the substances used in a dry cell is manganese (IV) oxide.
State two roles of manganese (IV) oxide in the dry cells.
(2
marks)
(b) Below is simplified electrolytic cell used for purification of copper. Study it and
answer the questions that follows.
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(i)
Identify the cathode.
(1
mark)
(ii) Write the equation for the reaction at the anode.
(1
mark)
(iii)What name is given to
L
?
(1 mark)
(iv)
A current of 0.6 A was passed Through the electrolyte for 2 hours.
Determine the amount of copper deposited.
(Cu=63.5; 1 Faraday = 96,500 coulombs)
(3
marks)
(v) State two uses of copper metal
(1 mark)
28.
2017 P1 Q3.
The diagram in
Figure 1
shows a section of a dry cell. Study it and answer the
questions that follow.
(a) Name the part labelled
B.
(1
mark)
(b) The part labelled
A
is a paste. Give a reason why it is not used in dry form.
(1
mark)
(c) What is the purpose of the zinc container?
(1 mark)
29.
2017 P1 Q22.
(a) What is an inert electrode?
(1
mark)
(b) State the products formed when brine is electrolysed using inert electrodes.
Anode: …………….
(1 mark)
Cathode: …………...
(1 mark)
30.
2017 P2 Q2(b)
(b) Copper (II) sulphate solution was electrolysed using the set up in
Figure 1
.
Physical
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(i)
State the observations made during electrolysis.
(1½ marks)
(ii) Write the equation for the reaction that occurs at the anode.
(1
mark)
(iii)State the expected change in pH of the electrolyte after electrolysis.
(½mark)
(c) The experiment was repeated using copper electrodes instead of carbon
electrodes. Describe the observations made at each electrode.
(1 mark)
(d) Electroplating is an important industrial process.
(i)
What is meant by electroplating.
(1 mark)
(ii) State the purpose of electroplating.
(1
mark)
(iii)During electroplating of an iron spoon, a current of 0.6 amperes was
passed through aqueous silver nitrate solution for 11/2 hours. Calculate the
mass of silver that was deposited on the spoon.
(3 marks)
(Ag = 108.0; 1 F = 96,500 C mol
-1
)
31.
2018 P1 Q 16.
Metals
X
and
Y
have standard electrode potentials of -0.13 V and -0.76V
respectively. The metals were connected to form a cell as shown in
Figure 4
.
(a) Name the part labelled
Z.
(1 mark)
(b) State one function of the part labelled
Z
.
(1 mark)
(c) Calculate the e.m.f. of the cell.
(1
mark)
32.
2018 P2 Q3(c)
Use the standard electrode potentials in
Table 2
to answer the questions that
follow.
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(i)
Write the half-cell representation for the element whose electrode potential is
for hydrogen.
(1
mark)
(ii) Arrange the elements in order of reducing power, starting with the weakest
reducing agent.
(1
mark)
(iii)I. Select two half cells which combine to give a cell with the least e.m.f.
(1
mark)
II. Calculate the e.m.f of the half cells identified in (iii) I.
(1
mark)
33.
2019 P1 Q 19.
Given that the E
θ
of Cu(s)/Cu
2+
(aq) is + 0.34V and that 0f Zn(s)/Zn
2+
(aq) is
-
0.76V, draw a labelled diagram of zinc and copper electrochemical cell.
(3 marks)
34.
2019 P2 Q6.
(a) What is meant by standard electrode potential of an element?
(1
mark)
(b) Use the standard electrode potentials given below to answer the questions that
follow.
(i)
State whether acidified MnO
-4
can oxidise M
2+
. Give a reason.
(2
marks)
(ii) Select two half-cells which when combined will give the highest e.m.f.
(1
mark)
(iii)Write the cell representation for the cell formed in b (ii).
(1
mark)
(iv)
Calculate the E
θ
value for the cell formed in b (iii).
(1 mark)
Physical
40
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(c) A mass of 1.24g of a divalent metal was deposited when a current of 6A was
passed through a solution of a metal sulphate for 12 minutes. Determine the
relative atomic mass of the metal.
(1 Faraday = 96,500 C mol
-1
)
(3 marks)
(d) State two applications of electrolysis.
(1
mark)
ELECTROCHEMISTRY
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