Free-response practice

FRQ practice with rubric self-scoring

Work each free-response prompt in the response box (or on paper), then reveal the exam-style rubric and model solution and score yourself point by point. Self-scores save locally in this browser. Built to prep for the AP® exams.

AP Chemistry · Short Response0 / 4 pts self-scored

Scenario

The complete photoelectron spectrum (PES) of a pure sample of an unknown element shows five peaks. The binding energies and relative peak heights are: a peak at 239 MJ/mol239 \text{ MJ/mol} (relative height 2), a peak at 22.1 MJ/mol22.1 \text{ MJ/mol} (relative height 2), a peak at 16.0 MJ/mol16.0 \text{ MJ/mol} (relative height 6), a peak at 2.0 MJ/mol2.0 \text{ MJ/mol} (relative height 2), and a peak at 1.0 MJ/mol1.0 \text{ MJ/mol} (relative height 4). In a complete PES spectrum, peak height is proportional to the number of electrons in each subshell.

Part (a) · 1 point

Identify the element and write its complete ground-state electron configuration. Justify your identification using the spectrum.

Part (b) · 1 point

Explain why the peak at 239 MJ/mol239 \text{ MJ/mol} corresponds to a much greater binding energy than the peak at 22.1 MJ/mol22.1 \text{ MJ/mol}, even though both peaks arise from electrons in s subshells.

Part (c) · 2 points

The first ionization energy of phosphorus (1012 kJ/mol1012 \text{ kJ/mol}) is greater than the first ionization energy of this element (1000 kJ/mol1000 \text{ kJ/mol}), even though this element has the greater nuclear charge. Explain this observation in terms of the electron configurations of the two atoms.

Teaching notes

This question connects photoelectron spectroscopy to electron configuration and Coulomb's law. The key skills are (1) reading a PES spectrum quantitatively - peak height counts electrons, binding energy orders subshells by distance from the nucleus and shielding - and (2) explaining the famous Group 15/16 ionization-energy inversion. Both explanations must be grounded in Coulombic attraction and electron-electron repulsion, not memorized slogans. On the AP exam, answers that invoke 'octet stability' or 'half-filled shells are stable' without a repulsion-based mechanism do not earn points.