Electron transfer reactions: notes and practice questions
- This topic extends electron transfer reactions to electrochemical cells, standard electrode potentials, and electrolysis.
- The standard hydrogen electrode, , is assigned .
- is calculated from standard electrode potentials; a positive value indicates a spontaneous reaction.
- Standard Gibbs energy change relates to cell potential: .
- Electrolysis of aqueous solutions involves competing electrode reactions, deduced from standard electrode potentials.
- Electroplating uses electrolytic cells for metallic coating, requiring deduction of electrode reactions.
How it is examined
Oxidation state deduction is a 1-mark part in both papers. Balancing half-equations is 1 to 2 marks and the balance must be right in both atoms and charge. Voltaic cell diagrams attract "identify the anode", "state the direction of electron flow" and "explain the role of the salt bridge" at 1 mark each, and the salt bridge answer must mention ion movement to maintain electrical neutrality, not just "completes the circuit". At HL, E⦵cell calculations are [2] and the sign error from reversing the wrong half-cell is the classic loss. The organic oxidation sequence (primary alcohol to aldehyde with distillation, to carboxylic acid with reflux) is examined by asking for conditions as well as products.
HL: standard reduction potentials, the Faraday constant F, and ΔG⦵ = −nFE⦵cell. At SL nothing is given, but the guidance says displacement data will be supplied in the question. What is recall: oxidation state rules, anode is oxidation and cathode is reduction, the sign convention (anode negative in a voltaic cell, positive in an electrolytic cell), and the oxidation products of primary versus secondary versus tertiary alcohols.
- 3.2.1 Oxidation and reduction can be described in terms of electron transfer, change in oxidation state, oxygen gain or loss, or hydrogen loss or gain. Students deduce oxidation states of an atom in a compound or an ion, and identify the oxidized and reduced species and the oxidizing and reducing agents in a chemical reaction.
- 3.2.2 Half-equations separate the processes of oxidation and reduction, showing the loss or gain of electrons. Students deduce redox half-equations and equations in acidic or neutral solutions.
- 3.2.3 The relative ease of oxidation and reduction of an element in a group can be predicted from its position in the periodic table. The reactions between metals and aqueous metal ions demonstrate the relative ease of oxidation of different metals. Students predict the relative ease of oxidation of metals and of reduction of halogens, and interpret data regarding metal and metal ion reactions.
- 3.2.4 Acids react with reactive metals to release hydrogen. Students deduce equations for reactions of reactive metals with dilute HCl and H₂SO₄.
- Half-equations and equations are required in acidic or neutral solutions only. Balancing in alkaline solution is not on the syllabus.
- Names and formulas of specific oxidizing agents, and the mechanisms of oxidation, will not be assessed. The same for reducing agents and the mechanisms of reduction. Include the role of hydride ions in the reduction reaction.
Guiding questions
- What happens when electrons are transferred?
Linking questions
- Structure 3.1 What are the advantages and limitations of using oxidation states to track redox changes? Why does metal reactivity increase, and non-metal reactivity decrease, down the main groups? How can oxidation states be used to show that CH₄, CH₃OH, HCHO, HCOOH, CO₂ are given in increasing order of oxidation?
- Structure 2.3 The surface oxidation of metals is often known as corrosion. What are some of the consequences of this process?
- Structure 2.1 Under what conditions can ionic compounds act as electrolytes?
- Structure 3.2 How does the nature of the functional group in a molecule affect its physical properties, such as boiling point?
- Reactivity 1.3 Electrical energy can be derived from the combustion of fossil fuels or from electrochemical reactions. What are the similarities and differences? What is the difference between combustion and oxidation of an alcohol?
- Reactivity 2.3 Secondary cells rely on electrode reactions that are reversible. What are the common features of these reactions?
- Reactivity 3.4 Why are some reactions of alkenes classified as reduction reactions while others are classified as electrophilic addition reactions?
- Reactivity 1.4 (HL) How can thermodynamic data also be used to predict the spontaneity of a reaction?
- Structure 3.1 (HL) Why is there a colour change when an alcohol is oxidized by a transition element compound?
- Tool 1, Inquiry 2 Why are some redox titrations described as "self-indicating"? How is an electrolytic cell used for electroplating?
Practice questions
11 questions · 1 easy · 8 medium · 2 hardQuestion 1
EasyPaper 1A · calculator1 markThe reactivity of several metals is given below, from most reactive to least reactive.
Mg
Al
Mn
Cr
Fe
Pb
Ag
Au
Which reaction will occur spontaneously under standard conditions?
A.
B.
C.
D.
In a spontaneous single displacement reaction, the solid metal must be more reactive (higher up in the series) than the metal whose ion is in the aqueous solution. Check each option against the given reactivity series.
Question 2
MediumPaper 2 · calculator1 markUse the following table of standard reduction potentials to answer the question.
-2.71
-0.76
-0.74
-0.45
0.00
+0.34
+0.52
+0.54
+0.77
+0.80
+1.36
A student sets up a standard voltaic cell using an iron electrode in a solution of and a silver electrode in a solution of .
For the spontaneous reaction that occurs in this cell, what is its standard Gibbs free energy change, ?
The value of the Faraday constant is and .
A -241 kJ mol
B -185 kJ mol
C -120 kJ mol
D +241 kJ mol
First, identify the oxidation and reduction half-reactions and their standard electrode potentials. Then, calculate the standard cell potential, . Finally, use the relationship to find the standard Gibbs free energy change, ensuring you determine the correct number of electrons transferred () and convert units appropriately.
Question 3
HardPaper 2 · calculator24 marksAntimony (Sb) and Bismuth (Bi) are elements in group 15 of the periodic table.
(a) Antimony has two stable isotopes. 57.21% of antimony atoms contain 70 neutrons and the remainder contain 72 neutrons.
(i) Deduce the nuclear symbol of the isotope of antimony containing 72 neutrons. Use section 6 of the data booklet.
(ii) Calculate, to two decimal places, the relative atomic mass of antimony.
Bismuth(III) nitrate, , is a common salt of bismuth.
(b) (i) The compound contains both ionic and covalent bonds. State which particles are joined by covalent bonds and which are joined by ionic bonds.
(ii) Distinguish between covalent and ionic bonding in terms of electron distribution.
(iii) State the enthalpy term that characterizes the strength of the bonding between the ions in an ionic solid.
(iv) Write an equation for the formation of aqueous bismuth(III) nitrate from solid bismuth(III) oxide and nitric acid.
(v) Calculate the volume, in , of nitric acid required to react completely with of solid bismuth(III) oxide.
(vi) Predict, with a reason, whether bismuth(III) oxide is expected to be primarily acidic, basic or amphoteric.
(vii) Discuss how the relative reactivity of zinc and bismuth could be established using the metals and aqueous solutions of their nitrates.
(viii) Discuss the products formed at the electrodes during the electrolysis of aqueous bismuth(III) nitrate. Use the standard electrode potential and section 24 of the data booklet.
Bismuth compounds are sometimes used in fireworks to produce special effects.
(c) (i) State the feature of the atomic emission spectrum of an element that corresponds to its first ionization energy.
(ii) Calculate the wavelength, in nm, that corresponds to the first ionization energy of bismuth. Use sections 1, 2 and 8 of the data booklet.
(iii) Explain why the first ionization energy of bismuth is lower than that of polonium (Po), in terms of nuclear charge and electron shielding.
First, find the atomic number (number of protons) for Antimony from the periodic table. The mass number is the sum of protons and neutrons. The nuclear symbol is written with the mass number as a superscript and the atomic number as a subscript to the left of the element symbol.
The relative atomic mass is the weighted average of the masses of its isotopes. You'll need the mass number and abundance of both isotopes. The abundance of the second isotope is 100% minus the abundance of the first.
Consider the structure of the polyatomic nitrate ion and how it interacts with the bismuth cation. Covalent bonds typically form between non-metal atoms, while ionic bonds form between metal cations and non-metal anions.
Think about what happens to the valence electrons in each type of bond. Are they shared or transferred?
This term refers to the enthalpy change when one mole of a solid ionic compound is formed from its gaseous ions.
Bismuth(III) oxide is a basic oxide. It will react with an acid in a neutralization reaction to form a salt and water. Remember to balance the equation and include state symbols.
First, calculate the moles of bismuth(III) oxide using its mass and molar mass. Then, use the stoichiometry from your balanced equation in (b)(iv) to find the moles of nitric acid required. Finally, use the concentration of the nitric acid to find the volume.
Consider the position of bismuth in the periodic table and the trend in metallic character down group 15. How does the acid-base character of oxides change with metallic character?
A more reactive metal can displace a less reactive metal from a solution of its salt. Describe a simple experiment to test this.
At the cathode (negative electrode), reduction occurs. Compare the standard electrode potentials for the reduction of and water. At the anode (positive electrode), oxidation occurs. Compare the oxidation of water and the nitrate ion.
Ionization corresponds to the removal of an electron, which means the electron transitions to the n=∞ energy level. What happens to the spectral lines as they approach this limit?
First, find the first ionization energy of Bismuth from the data booklet (in kJ mol⁻¹). Convert this to energy per atom (in J) using Avogadro's constant. Then use the Planck-Einstein relation () and the wave equation () to find the wavelength.
Bismuth and Polonium are in the same period. Consider how the number of protons and the location of the valence electrons change as you move from Bi to Po.
Question 4
MediumPaper 2 · calculator1 markAn excess of magnesium turnings is added to an acidified solution of potassium dichromate(VI). Determine the final chromium-containing product of the reaction. The following standard electrode potentials are provided:
A.
B.
C.
D.
To determine if a reaction is spontaneous, calculate the standard cell potential, . A positive value indicates a spontaneous reaction. Since excess magnesium is used, the reaction will proceed through all spontaneous reduction steps.
Question 5
HardPaper 2 · calculator23 marksA sample of chlorine consists of two isotopes, and .
(a) Contrast the sub-atomic structure of these two isotopes.
(b) (i) The sample of chlorine is analysed in a mass spectrometer, producing a spectrum for the ion. The spectrum shows three peaks at m/z values of 70, 72 and 74. Explain the origin and relative heights of these three peaks, given that the abundance of is approximately three times that of .
(ii) A more precise measurement finds the composition by mass to be: : 75.76%, : 24.24%. Calculate the relative atomic mass of chlorine from this sample, giving your answer to two decimal places. (Use isotopic masses of 35.0 and 37.0 for this calculation).
Magnesium chloride, , and manganese(II) chloride, , are two ionic compounds.
(c) (i) Deduce the type of bonding in magnesium chloride, , using electronegativity values from section 9 of the data booklet.
(ii) Determine the lattice enthalpy of magnesium chloride, assuming the bonding is purely ionic. Use sections 9, 10 and 12 of the data booklet and the following data:
Enthalpy of formation of magnesium chloride =
(iii) Explain, with reference to electron configurations, why the ionic radii of , and are different. Use section 10 of the data booklet.
(iv) Predict, with a reason, which has the stronger ionic bonding, manganese(II) chloride, , or magnesium chloride.
Magnesium chloride is white, but manganese(II) chloride is pale pink.
(d) (i) State the condensed electron configuration of a manganese atom.
(ii) State the reason, in terms of electron configuration, why manganese(II) chloride is coloured.
(iii) Manganese(II) chloride absorbs light with a wavelength of approximately 530 nm. Describe why this is consistent with the observed colour of the compound. Use sections 2 and 15 of the data booklet.
A copper key is to be electroplated with manganese using an aqueous solution of manganese(II) chloride as the electrolyte.
(e) (i) Deduce the half-equations for the reactions occurring at the anode (made of pure manganese) and the cathode (the copper key).
(ii) Deduce a balanced chemical equation for the reaction of fluorine gas with the aqueous chloride ions in the electrolyte.
Isotopes of an element have the same number of protons but a different number of another sub-atomic particle. What is this particle and how does its number differ between and ?
The peaks correspond to different combinations of the two chlorine isotopes in a diatomic molecule. The height of each peak is related to the probability of that specific combination occurring. Consider the relative abundances of the isotopes.
The relative atomic mass is the weighted average of the isotopic masses. Multiply each isotopic mass by its fractional abundance and sum the results.
Find the electronegativity values for magnesium and chlorine. The difference in their electronegativity values will indicate the type of bonding.
Construct a Born-Haber cycle for the formation of from and . Use Hess's Law to find the unknown lattice enthalpy. Remember to account for the stoichiometry, especially for chlorine.
Compare the number of electron shells and the nuclear charge (number of protons) for each ion.
The strength of ionic bonding depends on the charge of the ions and the distance between them (ionic radii). Compare these factors for and .
Manganese is in the first row of the d-block. Remember the filling order of the 4s and 3d sub-levels.
The colour of transition metal compounds is related to the electronic structure of the transition metal ion. What is special about the d-sublevel in coloured ions?
The colour we see is the complementary colour to the one that is absorbed. Use the colour wheel in the data booklet to find the complementary colour of the absorbed light.
In electroplating, the object to be plated is the cathode, and the metal used for plating is the anode. Oxidation occurs at the anode and reduction occurs at the cathode.
Consider the relative oxidizing strengths of the halogens. A more reactive halogen will displace a less reactive halide from its salt solution.
Question 6
MediumPaper 1A · calculator1 markWhat are the products at the anode and cathode respectively during the electrolysis of aqueous zinc bromide, , using inert electrodes?
A. bromine, zinc
B. oxygen, zinc
C. bromine, hydrogen
D. oxygen, hydrogen
Consider all the ions present in the aqueous solution, including those from the dissociation of water. At the anode (positive electrode), oxidation occurs, and at the cathode (negative electrode), reduction occurs. Use the electrochemical series or standard electrode potentials to determine which species is preferentially discharged at each electrode.
Question 7
MediumPaper 1A · calculator1 markConsider the following standard electrode potentials:
| Half-reaction | / V |
|---|---|
| -0.13 | |
| +0.34 | |
| +0.54 | |
| +0.80 |
Which combination of reactants will result in a spontaneous reaction under standard conditions?
A. and
B. and
C. and
D. and
A spontaneous redox reaction occurs when the overall cell potential, , is positive. Use the formula . The species with the more positive value will be reduced, and the species with the less positive (or more negative) value will be oxidized.
Question 8
MediumPaper 1A · calculator1 markA student constructs a voltaic cell using two half-cells: a zinc electrode in a solution and a copper electrode in a solution.
Given the standard electrode potentials:
V
V
What will be the standard cell potential, in , when these two half-cells are connected?
A.
B.
C.
D.
Identify which species will be oxidized (anode) and which will be reduced (cathode) based on their standard electrode potentials. Remember that the standard cell potential is calculated as .
Question 9
MediumPaper 1A · calculator1 markWhat are the main products when a dilute aqueous solution of copper(II) sulfate, , is electrolysed using inert graphite electrodes?
| Anode | Cathode | |
|---|---|---|
| A. | Oxygen | Copper |
| B. | Copper | Oxygen |
| C. | Sulfur dioxide | Hydrogen |
| D. | Oxygen | Hydrogen |
Consider all ions present in the aqueous solution, including those from the auto-ionization of water. At the cathode (negative electrode), the cation that is more easily reduced (has a more positive value) will be discharged. At the anode (positive electrode), the anion that is more easily oxidized (has a more negative value) will be discharged. Note that polyatomic ions like sulfate are typically not oxidized in aqueous solutions.
Question 10
MediumPaper 1A · calculator1 markA student performs a redox titration to determine the concentration of iron(II) ions in a sample. The iron(II) ions are oxidized to iron(III) ions by dichromate(VI) ions, which are themselves reduced to chromium(III) ions.
reduced to
oxidized to
What volume, in , of is required to reach the equivalence point in the titration of of ?
A. 12.5
B. 25.0
C. 50.0
D. 150.0
First, write and balance the half-equations for the oxidation of and the reduction of in acidic solution. Then combine them to find the overall stoichiometric ratio between and . Finally, use this ratio with the given concentrations and volume to calculate the unknown volume.
Question 11
MediumPaper 1A · calculator1 markThe overall reaction occurring during the discharge of a lead-acid battery is:
Which statement about this reaction is correct?
A. The element lead is both oxidized and reduced.
B. The oxidation state of sulfur changes.
C. Lead(IV) oxide, , is the reducing agent.
D. The reaction is an example of disproportionation.
Determine the oxidation state of each element in the reactants and products. Identify which elements change their oxidation state. Recall the definitions of oxidation, reduction, oxidizing agent, reducing agent, and disproportionation.
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