IB Chemistry 1.3 Electron Config Exam Practice
Practice

1.3 Exam Practice

Exam-style practice questions on Electron Configurations

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Section B: Data Analysis (Paper 1B Style)

Calculator and Data Booklet permitted. Show all working clearly.

Question 1: Successive Ionisation Energies Deduce HL

5 marks

The successive ionisation energies (in kJ mol\(^{-1}\)) for an unknown element X are shown below:

IE1st2nd3rd4th5th6th7th
kJ mol\(^{-1}\)5781817274511578148311837823293

(a) Define the term "first ionisation energy." [2]

(b) Deduce the group number of element X. Justify your answer using the data. [2]

(c) Explain why there is a large increase between the 3rd and 4th ionisation energies. [1]

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(a) The minimum energy required to remove one electron [1]

from one mole of gaseous atoms in their ground state [1]

(b) Group 13 / Group 3 (in older notation) [1]

There is a large jump between the 3rd and 4th IE, indicating that the 4th electron is removed from a different (inner) shell, so X has 3 outer-shell electrons [1]

(c) The 4th electron is being removed from a lower energy level / inner shell which is closer to the nucleus, so it experiences a much stronger nuclear attraction [1]

Examiner tip: For the definition of first IE, you must include ALL of: "one mole", "gaseous atoms", "ground state", and "one electron." Missing any one of these loses a mark. Also, "Group 13" is the correct IUPAC designation, not "Group 3."

Section C: Structured Questions (Paper 2 Style)

Show all working. State answers with appropriate significant figures and units.

Question 2: Electron Configurations of Atoms and Ions State

4 marks

(a) Write the full electron configuration for a ground-state atom of vanadium (Z = 23). [1]

(b) Write the electron configuration for the V\(^{3+}\) ion and state how many unpaired electrons it contains. [2]

(c) Explain why transition metal ions lose their 4s electrons before their 3d electrons when forming cations. [1]

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(a) 1s² 2s² 2p⁶ 3s² 3p⁶ 4s² 3d³ [1]

(b) 1s² 2s² 2p⁶ 3s² 3p⁶ 3d² [1]

2 unpaired electrons [1]

(c) In the ion / when occupied, the 4s subshell has a higher energy than 3d, so 4s electrons are removed first [1]

Examiner tip: A very common error is writing the V\(^{3+}\) configuration as [Ar] 4s² 3d⁰ (removing 3d electrons first). Remember: 4s fills before 3d, but 4s empties before 3d when forming ions.

Question 3: Aufbau Principle and Hund's Rule Explain

4 marks

(a) State the Aufbau principle. [1]

(b) State Hund's rule. [1]

(c) Using the orbital box notation, show the arrangement of electrons in the 2p subshell of a nitrogen atom. [1]

(d) Explain why the electron configuration of copper is [Ar] 3d\(^{10}\) 4s\(^1\) rather than [Ar] 3d\(^9\) 4s\(^2\). [1]

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(a) Electrons fill orbitals starting from the lowest energy level first [1]

(b) Every orbital in a subshell is singly occupied with parallel spin before any orbital is doubly occupied [1]

(c) Three boxes each containing one up-arrow: [↑] [↑] [↑] [1] (Accept any clear representation showing 3 singly-occupied orbitals with parallel spins)

(d) A completely filled 3d subshell (3d\(^{10}\)) provides additional stability compared to 3d\(^9\) / the fully filled d-subshell has lower energy [1]

Examiner tip: Chromium (3d⁵ 4s¹) and copper (3d¹⁰ 4s¹) are the two classic exceptions you must know. The reason is the extra stability of half-filled and fully filled d subshells.

Question 4: Trends in Ionisation Energy Discuss HL

4 marks

(a) Explain the general trend in first ionisation energy across Period 3 (Na to Ar). [2]

(b) Explain why the first ionisation energy of aluminium is lower than that of magnesium, despite aluminium having a greater nuclear charge. [2]

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(a) The general trend is an increase in first IE across the period [1]

Because nuclear charge increases while shielding remains approximately constant / the effective nuclear charge increases, so the outer electrons are held more tightly [1]

(b) Aluminium's outer electron is in a 3p orbital, which is higher in energy than the 3s orbital of magnesium [1]

The 3p electron is slightly further from the nucleus and more shielded by the 3s electrons, so it is easier to remove [1]

Examiner tip: This is an extremely common exam question. You must specify the subshell difference (3p vs 3s) and explain the shielding effect. Simply stating "aluminium has a lower IE" without explaining the subshell reasoning earns zero marks.
Links to: 1.2 The Nuclear Atom (atomic number and nuclear charge)

Question 5: Convergence Limit and Ionisation Energy Calculate HL

5 marks

The hydrogen emission spectrum shows a series of lines that converge towards a limit. For the Lyman series (transitions to n = 1), the convergence limit occurs at a frequency of \(3.28 \times 10^{15}\) Hz.

(a) Explain the significance of the convergence limit in an emission spectrum. [2]

(b) Calculate the first ionisation energy of hydrogen using this data. Give your answer in kJ mol\(^{-1}\). [2]

\(h = 6.626 \times 10^{-34}\) J s     \(L = 6.022 \times 10^{23}\) mol\(^{-1}\)

(c) Explain why the lines in the Lyman series converge as frequency increases. [1]

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(a) The convergence limit corresponds to the ionisation of the atom / removal of the electron completely [1]

At this point the electron is being removed from the atom from the ground state to an infinite distance [1]

(b) \(E = hf = 6.626 \times 10^{-34} \times 3.28 \times 10^{15} = 2.173 \times 10^{-18}\) J [1]

IE = \(2.173 \times 10^{-18} \times 6.022 \times 10^{23} = 1.309 \times 10^{6}\) J mol\(^{-1}\) = 1309 kJ mol\(^{-1}\) [1]

(c) The energy levels become closer together as they get further from the nucleus, so the energy difference (and therefore frequency) between successive transitions becomes smaller, causing lines to converge [1]

Examiner tip: A common and damaging error is calculating energy using the frequency of just one spectral line rather than the convergence limit frequency. Only the convergence limit gives the ionisation energy. Also, remember to multiply by Avogadro's constant to convert from J per atom to kJ mol\(^{-1}\).
Links to: 1.2 The Nuclear Atom (emission spectra and energy levels)
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