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How do we track electron transfer using oxidation numbers and half-equations?

Oxidation and reduction in terms of electron transfer, oxidation numbers and the rules for assigning them, identifying oxidising and reducing agents, and constructing and combining half-equations into balanced redox equations.

A CCEA A-Level Chemistry answer on redox chemistry, covering oxidation and reduction as electron transfer, the rules for assigning oxidation numbers, identifying oxidising and reducing agents, and constructing and combining half-equations into balanced overall redox equations.

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  1. What this dot point is asking
  2. Oxidation, reduction and electron transfer
  3. Oxidation number rules
  4. Half-equations and balancing
  5. Identifying agents
  6. Examples in context
  7. Try this

What this dot point is asking

CCEA wants you to define oxidation and reduction in terms of electron transfer, assign oxidation numbers using the rules, identify oxidising and reducing agents, and construct half-equations and combine them into balanced overall redox equations.

Oxidation, reduction and electron transfer

An oxidising agent accepts electrons and is itself reduced; a reducing agent donates electrons and is itself oxidised.

Oxidation number rules

For example, in the sulfate ion SO42\text{SO}_4^{2-}, oxygen contributes 4×(2)=84 \times (-2) = -8, so sulfur must be +6+6 to give an overall charge of 2-2.

The power of oxidation numbers is that they let you spot a redox reaction even when no obvious electron transfer is visible. If any element changes its oxidation number between reactants and products, the reaction is redox. The element whose oxidation number rises has been oxidised; the element whose oxidation number falls has been reduced. Oxidation numbers also fix the names and formulae of compounds: iron(II) and iron(III) are distinguished by the Roman numeral giving the oxidation number, and the manganate(VII) ion is MnO4\text{MnO}_4^- because manganese is at +7+7. A reaction in which an element is both oxidised and reduced (such as chlorine in Cl2+2NaOHNaCl+NaClO+H2O\text{Cl}_2 + 2\text{NaOH} \rightarrow \text{NaCl} + \text{NaClO} + \text{H}_2\text{O}, where chlorine goes from 00 to both 1-1 and +1+1) is called disproportionation.

Half-equations and balancing

A half-equation shows electrons gained or lost. To build a balanced redox equation:

Identifying agents

In that reaction, manganate(VII) is the oxidising agent (Mn goes from +7+7 to +2+2, reduced) and iron(II) is the reducing agent (Fe goes from +2+2 to +3+3, oxidised). The general method for building any half-equation in acidic solution is: balance the main atoms, balance oxygen by adding H2O\text{H}_2\text{O}, balance hydrogen by adding H+\text{H}^+, then balance the charge by adding electrons. Once both half-equations are written, scale them so the electrons match and add them to cancel the electrons. This routine handles even complex oxidising agents such as dichromate and manganate.

Examples in context

Example 1. Breathalyser chemistry. Early breathalysers relied on the oxidation of ethanol in a driver's breath by acidified potassium dichromate. The dichromate ion (chromium +6+6, orange) is reduced to Cr3+\text{Cr}^{3+} (green) as the ethanol is oxidised to ethanoic acid. The extent of the colour change is proportional to the amount of alcohol, so the reaction both reports the result and is a textbook redox process: chromium falls from +6+6 to +3+3 while carbon in ethanol rises in oxidation number. CCEA candidates are expected to identify the oxidising agent and the colour change.

Example 2. Iron tablets and vitamin C. Iron supplements contain iron(II), which the body absorbs more easily than iron(III). Vitamin C (ascorbic acid) is added because it is a reducing agent: it keeps the iron in the +2+2 state by reducing any iron(III) that forms back to iron(II), preventing oxidation in the tablet and in the gut. This is a real example of choosing a reducing agent to control an oxidation state, and the same redox titration with manganate(VII) used in Example 1 of the past questions is how a manufacturer would check the iron(II) content of each batch.

Try this

Q1. State the oxidation number of nitrogen in NO3\text{NO}_3^-. [1 mark]

  • Cue. +5+5, since oxygen is 2-2 and the ion charge is 1-1.

Q2. In the reaction Zn+Cu2+Zn2++Cu\text{Zn} + \text{Cu}^{2+} \rightarrow \text{Zn}^{2+} + \text{Cu}, identify the reducing agent. [1 mark]

  • Cue. Zinc, because it loses electrons (is oxidised) and reduces the copper ions.

Exam-style practice questions

Practice questions written in the style of CCEA exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

CCEA 20216 marksA 25.0 cm325.0\ \text{cm}^3 sample of an iron(II) solution was titrated against 0.0200 mol dm30.0200\ \text{mol dm}^{-3} potassium manganate(VII), requiring 24.0 cm324.0\ \text{cm}^3 to reach the endpoint. The reaction is MnO4+8H++5Fe2+Mn2++4H2O+5Fe3+\text{MnO}_4^- + 8\text{H}^+ + 5\text{Fe}^{2+} \rightarrow \text{Mn}^{2+} + 4\text{H}_2\text{O} + 5\text{Fe}^{3+}. Calculate the concentration of the iron(II) solution and state the colour change at the endpoint.
Show worked answer →

A redox titration calculation; markers want the manganate moles, the 1:5 ratio, the concentration, and the endpoint colour.

Moles of manganate(VII): n=0.0200×24.01000=4.80×104 moln = 0.0200 \times \dfrac{24.0}{1000} = 4.80 \times 10^{-4}\ \text{mol}.

The equation shows that 1 mole of manganate reacts with 5 moles of iron(II), so:

n(Fe2+)=5×4.80×104=2.40×103 moln(\text{Fe}^{2+}) = 5 \times 4.80 \times 10^{-4} = 2.40 \times 10^{-3}\ \text{mol}.

Concentration of iron(II):

c=nV=2.40×10325.0/1000=0.0960 mol dm3c = \dfrac{n}{V} = \dfrac{2.40 \times 10^{-3}}{25.0/1000} = 0.0960\ \text{mol dm}^{-3}.

At the endpoint the solution turns from colourless to the first permanent pale pink, because manganate(VII) is self-indicating: once all the iron(II) has reacted, the next drop of purple manganate is not decolourised.

Markers reward the manganate moles, the 1:5 scaling, the final concentration, and the colourless-to-pink endpoint. A common error is to forget the factor of 5.

CCEA 20194 marksDeduce the oxidation number of chromium in the dichromate ion Cr2O72\text{Cr}_2\text{O}_7^{2-}, and state, with a reason, whether chromium is oxidised or reduced when dichromate acts as an oxidising agent.
Show worked answer →

A two-part oxidation-number question.

In Cr2O72\text{Cr}_2\text{O}_7^{2-} each oxygen is 2-2, so the seven oxygens contribute 7×(2)=147 \times (-2) = -14. Let the oxidation number of chromium be xx. The sum of oxidation numbers equals the ion charge:

2x+(14)=22x + (-14) = -2, so 2x=+122x = +12 and x=+6x = +6.

When dichromate acts as an oxidising agent it is itself reduced, so chromium is reduced. Its oxidation number falls from +6+6 in Cr2O72\text{Cr}_2\text{O}_7^{2-} to +3+3 in Cr3+\text{Cr}^{3+}, which is why the colour changes from orange to green.

Markers reward the correct working to +6+6, the statement that chromium is reduced, and the reason that an oxidising agent gains electrons (its oxidation number decreases).

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