Electrochemistry

Electrochemical Cells

An electrochemical cell converts chemical energy into electrical energy using a redox reaction.

Since, metals can be oxidised or reduced depending upon their chemical environment, then such an arrangement as shown below may be set-up.

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The Daniell cell, specifically, uses Zn(s)/Zn2+(aq) and Cu(s)/Cu2+(aq) reactions. Note that the two rods in the diagram are called electrodes.

The zinc rod is the negative electrode and the copper rod the positive electrode.

Each metal in contact with a solution of its ions is called a half-cell. Half-cells are often represented by half-cell equations, which show the electrode processes:

At the negative electrode: Oxidation

Zn(s) → Zn2+(aq) + 2e-

At the positive electrode: Reduction:

Cu2+(aq) + 2e- → Cu(s)

So the overall reaction equation is:

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Remember this is a REDOX reaction.

Note in the diagram:

  1. The electrons flow in a clockwise direction, from the zinc rod to the copper.
  2. The salt bridge, completes the circuit by allowing the passage of ions from the copper sulphate solution to the zinc sulphate solution. This salt bridge is usually a strip of filter paper soaked in saturated potassium sulphate.

Electrochemical cells can be made, as long as you pair up two half-cells of different potential so that an electrical current can be produced.

How do we find the potential of any half-cell individually? The answer is that we use a standard hydrogen electrode (s.h.e) and give it a potential of zero.

Therefore, when it is connected to another half-cell, the electromagnetic field (e.m.f) between the s.h.e and the second half-cell is equal to the potential of the second half-cell.

The diagram below outlines the main characteristics and conditions required to establish the s.h.e:

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The reaction that takes place is:

2H+(aq) + 2e- → 2H2 (g)

Standard Electrode Potential

We can place redox systems in order of their oxidising/reducing ability if we measure their electrode potential against the standard hydrogen electrode, which has a potential of 0.00V.

Note: Standard conditions must be adhered to, so for example if using copper rods they must be immersed into a solution of 1 mol dm-3 copper ions.

By convention, we define the e.m.f of an electrochemical cell as follows:

Eθ = Eθ right-hand half-cell - Eθ left-hand half-cell.

The s.h.e is always placed on the left-hand side.

The standard electrode potential of a metal is the potantial acquired when the metal is immersed in a 1 mol dm-3 solution of its ions at a temperature of 25oC.

It has the symbol Eθ and the units V.

As stated previously, we can tabulate the order of oxidising/reducing ability of a system, this we call the electrochemical series.

The most positive E value is at the top, i.e. the greatest oxidising agent. The most negative value E at the bottom i.e. the greatest reducing agent.

Reaction   Eo (298K)/V
F2(g) +2e- &ruldhar; 2F-(aq) +2.87
Co3+(aq) + e- &ruldhar; Co2+(aq) +1.82
Pb4+(aq) +2e- &ruldhar; Pb2+(aq) +1.69
Mn3+(aq) + e- &ruldhar; Mn2+(aq) +1.51
Au3+(aq) +3e- &ruldhar; Au(s) +1.42
Cl2(aq) +2e- &ruldhar; 2Cl-(aq) +1.36
Br2(aq) +2e- &ruldhar; 2Br-(aq) +1.07
NO3-(aq) + 2H+(aq) + e- &ruldhar; NO2(aq) + H2O(I) +0.81
Ag+(aq) + e- &ruldhar; Ag(s) +0.80
Fe3+(aq) + e- &ruldhar; Fe2+(aq) +0.77
I2(aq) +2e- &ruldhar; 2I-(aq) +0.54
Cu+(aq) + e- &ruldhar; Cu(s) +0.52
02(g) + 2H2O(l) +4e- &ruldhar; 4OH-(aq) +0.40
Cu2+(aq) +2e- &ruldhar; Cu(s) +0.34
S042-(aq) + 4H+(aq) +2e- &ruldhar; SO2(aq) + 2H20(l) +0.17
Cu2+(aq) + e- &ruldhar; Cu+(aq) +0.15
Sn4+(aq) +2e- &ruldhar; Sn2+(aq) +0.15
Fe3+(aq) +3e- &ruldhar; Fe(s) +0.04
2H+(aq) +2e- &ruldhar; H2(g) 0.00
Pb2+(aq) +2e- &ruldhar; Pb(s) -0.13
Sn2+(aq) +2e- &ruldhar; Sn(s) -0.14
Ni2+(aq) +2e- &ruldhar; Ni(s) -0.26
Co2+(aq) +2e- &ruldhar; Co(s) -0.28
Cr3+(aq) + e- &ruldhar; Cr2+(aq) -0.41
Fe2+(aq) +2e- &ruldhar; Fe(s) -0.44
Cr3+(aq) +3e- &ruldhar; Cr(s) -0.74
Zn2+(aq) +2e- &ruldhar; Zn(s) -0.76
Cr2+(aq) +2e- &ruldhar; Cr(s) -0.90
Al3+(aq) 3e- &ruldhar; Al(s) -1.67
Mg2+(aq) +2e- &ruldhar; Mg(s) -2.37
Na+(aq) + e- &ruldhar; Na(s) -2.71
Ca2+(aq) +2e- &ruldhar; Ca(s) -2.84
K+(aq) + e- &ruldhar; K(s) -2.93
Li+(aq) + e- &ruldhar; Li(s) -3.04

Note: These reactions are in equilibrium, they can go either way.

To calculate the standard cell potential, from the standard electrode potentials we do the following:

Eθ cell = Eθ right hand half-cell - Eθ left-hand half cell.

The left-hand half cell is conventionally the oxidising half-cell

For example:

Eθ cell = Eθ Cu2+/Cu - Eθ Zn2+/Zn

= +0.34 - (-0.76) V

= +1.1V

This is the shorthand way of representing an electrochemical cell.

For example:

Daniell cell:

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The continuous vertical line represents the phase boundary. The broken vertical line represents the salt bridge.

We can predict the likelihood of a reaction if two systems in the electrochemical series are linked by cells. Remember, the system which is lower in the series will lose electrons, and the one higher in the series will gain electrons.

For example:

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Cell reaction:

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Types of Cell and Rusting

This carbon-zinc dry cell is usually called a battery, however it is in fact a cell, with an e.m.f. of about 1.5V.

They are cheap and portable with a relatively short life, they must be thrown away when used up.

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The electrode reactions that are occurring in this cell are as follows:

At the negative electrode:

Zn(s) → Zn2+(aq) + 2e-

At the positive electrode

2NH4+(aq) + 2e- → 2NH3(g) + H2(g)

The H2 produced is removed by the reaction with manganese (IV) oxide:

H2(g) + 2MnO2(s) → MnO3(s) + H2O(l)

Lead-acid batteries are most commonly found in cars. They can be recharged since they are made up of secondary cells. A typical battery is made up of 6 cells, each with an e.m.f of 2V.

Acting as electrodes are plates that separate the cells, immersed in dilute sulphuric acid.

The negative electrodes are plates made from lead, the positive electrodes are plates made from lead coated in lead (IV) oxide.

At the negative electrode:

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At the positive electrode:

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PbSO4 is made by both reactions. When the car moves, an electric current is generated. In other words, the PbSO4 made when current is drawn from the cell is decomposed when the car is running. Hence, the reversible reaction.

Rust is in fact the compound hydrated iron (III) oxide with the general formula, Fe2O3.xH2O.

Rusting occurs when both water and oxygen are present. It is an electrochemical process involving two redox half-equations.

The corrosion starts with the oxidation of iron to Fe2+:

Fe(s) → Fe2+(aq) + 2e-

E = -0.44V

The iron acts as a negative terminal. The released electrons travel through the iron until they make contact with oxygen. This forms the positive electrode.

O2(aq) + 2H2O(l) + 4e- → 4OH-(aq)

E = +1.23V.

The following step is that the Fe2+ and OH- ions combine to form Fe(OH)2(s). This is readily oxidised to iron (III) hydroxide, which then partially dehydrates to give rust, Fe2O3.xH2O.

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  1. Coating the Iron: By adding a layer of paint, oil or grease to the iron, you prevent oxygen and water from coming into contact with the iron.
  2. Sacrificial Protection: A most effective way of preventing rust is to coat the iron with zinc, this is called galvanising. It works due to zinc's greater reactivity, i.e. zinc has a greater tendency to form ions, hence any Fe2+ present are reduced to Fe atoms.
  3. Alloying: Iron can be alloyed with nickel, chromium or carbon. The presence of other elements helps prevent Fe2+ forming and electrons been released, hence preventing the rusting process starting.

Electrolysis

The process of decomposing a compound using electricity is called electrolysis.

2H2O(l) → 2H2(g) + O2(g)

Electrolysis is a most important industrial process with a wide application. However, the largest application is that of the manufacture of chlorine and sodium hydroxide from concentrated aqueous sodium chloride in the Chlor-alkali industry.

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The cell consists of two conducting rods called electrodes, dipped into a compound in a molten state or in solution, that is able to conduct electricity called the electrolyte.

Electrolysis only works with direct current (the charge flows in only one direction). Direct current causes one electrode to take on a positive charge called the anode. The second electrode takes on a negative charge called the cathode.

Note: Anions (negative ions) are attracted to the anode. Cations (positive ions) are attracted to the cathode.

An example of electrolysis:

If we place molten sodium chloride into the electrolysis cell and allow current to flow, the following reactions occur at the electrodes:

At the cathode: Reduction

Na+(l) + e- → Na(l)

At the anode: Oxidation

2Cl-(l) → Cl2(g) + 2e-

These two half equations give the overall reaction:

2Na+(l) + 2Cl-(l) → Na(l) + Cl2(g)

A redox reaction has occured.

In the example above, of molten sodium chloride, there was one cation Na+ and one anion Cl-. Therefore, the products were easily calculated.

However, if a compound is in an aqueous solution, then we have two more ions to deal with, OH- and H+.

So how do we decide with ions will appear at the electrodes and which remain in solution?

In the case of the cathode, we must decide which of the two cations, H+ or Na+ is reduced most easily back to their atoms. Hydrogen ions are most easily reduced so the following cathode reaction occurs:

2H+(aq) + 2e- → H2(g)

In the case of the anode, we must decide which of the two anions, OH- or Cl- will be most easily oxidised back to atoms. Chloride ions are most easily oxidised, hence the following anode reaction:

2Cl-(aq) → Cl2 + 2e-

This leaves Na+ (aq) and OH-(aq) in solution i.e. sodium hydroxide.

We can refer to the electrochemical series, redox series or reactivity series for this information.

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In 1832, Michael Faraday deduced that:

The quantity of electricity passed is proportional to the amount of substance discharged at the electrode.

Quantity of electricity (charge) = current x time

The units used are, coulombs for charge, amps for current and seconds for time.

Note 1: One mole of electrons has a charge of 96500C. This quantity of charge is called the Faraday constant, F. Thus, the Faraday constant is related to Avagadro's constant, L, and the charge on the electron, e.

F = L x e

Note 2: The number of moles of electrons required to discharge 1 mole of ions is equal to the charge on the ion.

For example, ions with a double charge, such as Cu2+ - it will take two moles of electrons to deposit one mole of copper.

This industry involves the production of chlorine and the alkali sodium hydroxide from the electrolysis of concentrated aqueous sodium chloride (brine).

The electrolysis cell used for this reaction is called the diaphram cell.

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As previously stated, four ions are present Na+, Cl-, OH-, H+.

At the cathode:

2H+(aq) + 2e- → H2(g)

At the anode:

2Cl-(aq) → Cl2(g) + 2e-

The ions remaining in solution are OH- and Na+.

In the diaphragm cell, a porous asbestos partition, is placed between the electrodes to prevent the sodium hydroxide making contact with the chlorine (sodium hydroxide tends to concentrate near the cathode).

Purified brine solution is fed into the anode side and the level kept above that of the cathode. This allows the sodium chloride solution to seep into the cathode compartment and also prevents OH- ions migrating to the anode.

Exam-style Questions

1. Dichromate (VI) ions are powerful oxidising agents and are reduced to chromium III ions. This colour change was once used in 'breath test' apparatus to determine if a driver had consumed excessive alcohol.

Explain the term 'redox reaction'

(Marks available: 1)

Answer

Answer outline and marking scheme for question: 1

A redox reaction is one where electrons are transferred from one species to another.

(Marks available: 1)

2. Aluminium metal is extracted from molten bauxite (Al2O3.2H2O)
using electrolysis. Cryolite (AlF3) added to the ore in order to
lower the melting point required and thus the energy required by the process.

a) Write an half equation to show how aluminium metal is produced from
the ore.

(1 mark)

b) What mass of aluminium metal would be produced if a current of 30,000A
is applied to a cell for 1 hour.

(4 marks)

c) In the molten mixture there is a mixture of anions which mostly consists
of O2- and F-. Write an equation to show which
of these anions will be oxidised in the cell?

(2 marks)

(Marks available: 7)

Answer

Answer outline and marking scheme for question: 2

a) Al3+(l) + 3e- = Al(l)

(1 mark)

b) Charge passed; E = It

E = 30,000 x 3600 = 1.08 x 108C (1)



1 mole of electron has a charge of 96,500C


Mols electrons = (1.08 x 108) / 96,500 = 1119 mols (1)



To reduce 1 mol of Al3+, 3 mols of electrons are required



In the cell 1119 / 3 = 373 mols of Al produced (1)



Ar Al = 27.0

Mass Al produced = 373 x 27.0 = 10071g = 10.071kg of Al (1)

(4 marks)

c) 2O2-(l) - 4e- = O2(g)
(1 for correct anion, 1 for correct equation)

(2 marks)

(Marks available: 7)

S-Cool Revision Summary

Redox reactions involve oxidation and reduction reactions occurring simultaneously.

Oxidation is the loss of electrons.

Reduction is the gain of electrons.

Displacement reactions of metals and their ions in solution are an example of redox but also of dynamic equilibria Metal atoms can lose electrons to become ions (oxidation) or metal ions can gain electrons to become atoms (reduction).

An electrochemical cell converts chemical energy into electrical energy. Since metals can be oxidised or reduced depending on their chemical environment.

Electrodes are charged (usually metal or graphite) rods.

Electrolytes are solutions that contain ions.

Salt bridge Completes the circuit and prevents the build up of charge in either half-cell, by allowing the passage of ions.

In order to find the Standard electrode potential of a half cell we use a standard hydrogen electrode (potential zero) and measure the EMF between the two cells.

E = E right-hand half-cell - E left-hand half-cell.

The Standard electrode potential of a metal is the potential acquired when the metal is immersed in a 1 moldm-3 solution of its ions at a temp. of 25°C - symbol - E

We can tabulate the order of oxidising/reducing ability of a system - this we call the electrochemical series. The most +ve E value is at the top - the greatest oxidising agent. The most -ve E value at the bottom - the greatest oxidising agent.

To make a prediction about a reaction, remember that the system which is lower in the series will lose electrons and the one higher in the series will gain electrons.

Different types of cells/batteries are used in everyday life, e.g. lead-acid battery and the dry cell - all carrying out redox reactions in order to convert chemical energy to electrical energy.

Rusting is an example of an electrochemical process.

Electrolysis is the decomposition of a compound using electricity.

An electrolysis cell is illustrated below:

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The cell consists of two electrodes (cathode -ve and anode +ve) dipped into a compound in a molten state or in solution - the electrolyte.

When a d.c. current is passed the compound splits up due to the anions (-ve) being attracted to the anode and the cations (+ve being attracted to the cathode.

Reduction occurs at the cathode, oxidation at the anode.

Predicting what products occur at the electrodes is confused if compound is in aqueous solution due to the presence of OH- (anion) and H+(cation) these compete with the other ions present. The electrochemical series is used to predict which cation is most readily reduced, and which anion is most readily oxidised - the other ions remain in solution.

In the Chloro-alkali industry chlorine gas, hydrogen gas and sodium hydroxide are produced from the electrolysis of brine.

The quantity of electricity passed is proportional to the amount of substance discharged at the electrode.

Quantity of electricity (charge) = current x time

One mole of electrons has a charge of 96500C. This is known as the Faraday constant (F).

F = L x e

L = Avagadro's no.

e = charge of an electron

The number of moles of electrons required to discharge 1 mole of ions is equal to the charge on the ion.

Redox Reactions

Redox reactions involve oxidation and reduction occurring simultaneously.

Oxidation is the loss of electrons

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Reduction is the gain of electrons

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As stated previously, these two reactions cannot occur in isolation.

The two equations are added to provide the reaction equation:

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In terms of oxidation number:

  • For the oxidation: there has been an increase of +2
  • For the reduction: there has been an increase of -2

Displacement reactions occur if for example you place a more reactive metal in a solution containing ions of a less reactive metal.

For example:

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If we now compare this with the following reaction:

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We see that metals can be both oxidised and reduced, we write:

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The &ruldhar; sign shows that the reaction can go both ways. It is the sign for dynamic equilibrium.

If a piece of metal is placed into a solution of its own ions, two occurrences may appear.

Metal atoms may leave the solid and become metal ions in solution:

Oxidation

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In this case the electrons that are released stay on the surface of the solid, which causes it to gain a negative charge.

Or, metal ions in solution may become metal atoms on the surface of the solid.

Reduction

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In this case, electrons are attracted into the solution.

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