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How do we track and balance the transfer of electrons in chemical reactions?

Oxidation numbers, oxidation and reduction as electron transfer, oxidising and reducing agents, ionic half-equations and the construction of balanced redox equations including disproportionation.

An Edexcel 9CH0 Topic 3 answer covering oxidation numbers, oxidation and reduction as electron transfer, oxidising and reducing agents, half-equations, and disproportionation.

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  1. What this topic is asking
  2. The answer
  3. Examples in context
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What this topic is asking

Edexcel Topic 3 wants you to assign oxidation numbers using the standard rules, define oxidation and reduction in terms of electron transfer, identify oxidising and reducing agents, write ionic half-equations, and combine them into balanced redox equations, including recognising disproportionation.

The answer

Oxidation numbers

To find an unknown oxidation number, set up an equation: the known values plus the unknown must equal the overall charge. For example, in SO42βˆ’\text{SO}_4^{2-}, oxygen is βˆ’2-2, so x+4(βˆ’2)=βˆ’2x + 4(-2) = -2, giving sulfur =+6= +6.

Oxidation and reduction

Half-equations and balancing

Write a half-equation for the oxidation and one for the reduction. Balance the atoms (using H+\text{H}^+ and H2O\text{H}_2\text{O} for oxygen and hydrogen in acidic conditions), then balance the charge by adding electrons to the more positive side. Finally, scale the two half-equations so the electrons are equal, and add them so the electrons cancel. For example:

MnO4βˆ’+8H++5eβˆ’β†’Mn2++4H2O\text{MnO}_4^- + 8\text{H}^+ + 5\text{e}^- \rightarrow \text{Mn}^{2+} + 4\text{H}_2\text{O}

Combining this (which needs 55 electrons) with the iron(II) oxidation Fe2+β†’Fe3++eβˆ’\text{Fe}^{2+} \rightarrow \text{Fe}^{3+} + \text{e}^- requires multiplying the iron half-equation by five so the electrons cancel.

Disproportionation

Examples in context

Example 1. Bleach and swimming pools. Household bleach and pool chlorination chemistry rely on the disproportionation of chlorine in alkali to form the chlorate(I) ion (ClOβˆ’\text{ClO}^-), the active bleaching and disinfecting species. Recognising that chlorine is both oxidised to +1+1 and reduced to βˆ’1-1 explains why adding chlorine to cold dilute sodium hydroxide makes bleach, a direct everyday use of the disproportionation concept from Topic 3.

Example 2. Rust and the redox of iron. When iron rusts, iron atoms (oxidation number 00) are oxidised to Fe3+\text{Fe}^{3+} (+3+3) while oxygen is reduced from 00 to βˆ’2-2. Assigning oxidation numbers identifies iron as the reducing agent and oxygen as the oxidising agent, and balancing the half-equations gives the overall corrosion equation. This is the same electron-transfer bookkeeping used throughout redox, applied to a costly real-world process.

Try this

Q1. Determine the oxidation number of chromium in the dichromate ion Cr2O72βˆ’Cr_2O_7^{2-}. [2 marks]

  • Cue. Oxygen is βˆ’2-2, so 2x+7(βˆ’2)=βˆ’22x + 7(-2) = -2, giving x=+6x = +6.

Q2. Explain why the reaction of chlorine with cold dilute sodium hydroxide is a disproportionation. [2 marks]

  • Cue. Chlorine starts at oxidation number 00 and is both oxidised to +1+1 (in ClOβˆ’ClO^-) and reduced to βˆ’1-1 (in Clβˆ’Cl^-).

Exam-style practice questions

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

Edexcel 20194 marks(a) Deduce the oxidation number of nitrogen in NO3βˆ’\text{NO}_3^- and in NH4+\text{NH}_4^+. (b) Hence state, with a reason, whether nitrogen is oxidised or reduced in the change NO3βˆ’β†’NH4+\text{NO}_3^- \rightarrow \text{NH}_4^+.
Show worked answer β†’

Apply the oxidation-number rules, then compare.

(a) In NO3βˆ’\text{NO}_3^-: oxygen is βˆ’2-2, so x+3(βˆ’2)=βˆ’1x + 3(-2) = -1, giving x=+5x = +5 (1). In NH4+\text{NH}_4^+: hydrogen is +1+1, so x+4(+1)=+1x + 4(+1) = +1, giving x=βˆ’3x = -3 (1).

(b) Nitrogen goes from +5+5 to βˆ’3-3, a decrease in oxidation number (1), which is a gain of electrons, so nitrogen is reduced (1).

Edexcel 20215 marksAcidified manganate(VII) oxidises iron(II) ions. The half-equations are MnO4βˆ’+8H++5eβˆ’β†’Mn2++4H2O\text{MnO}_4^- + 8\text{H}^+ + 5\text{e}^- \rightarrow \text{Mn}^{2+} + 4\text{H}_2\text{O} and Fe2+β†’Fe3++eβˆ’\text{Fe}^{2+} \rightarrow \text{Fe}^{3+} + \text{e}^-. (a) Construct the overall balanced ionic equation. (b) Identify the oxidising agent and the reducing agent.
Show worked answer β†’

Balance the electrons, add the half-equations, then assign roles.

(a) Multiply the iron half-equation by 55 so the electrons cancel: 5Fe2+β†’5Fe3++5eβˆ’5\text{Fe}^{2+} \rightarrow 5\text{Fe}^{3+} + 5\text{e}^- (1). Add to the manganate half-equation: MnO4βˆ’+8H++5Fe2+β†’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+} (2).

(b) The oxidising agent is MnO4βˆ’\text{MnO}_4^- (it is reduced, gaining electrons) (1); the reducing agent is Fe2+\text{Fe}^{2+} (it is oxidised, losing electrons) (1).

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