Home / AP Chemistry 2.3 Structure of Ionic Solids – Exam Style questions – FRQs

AP Chemistry 2.3 Structure of Ionic Solids - Exam Style questions - FRQs- New Syllabus

Question

A student is studying the properties of \( \mathrm{CaSO_4} \) and \( \mathrm{PbSO_4} \). The student has samples of both compounds, which are white powders.
(a) The student tests the electrical conductivity of each solid and observes that neither solid conducts electricity. Describe the structures of the solids that account for their inability to conduct electricity.
The student places excess \( \mathrm{CaSO_4}(s) \) in a beaker containing \( 100\ \mathrm{mL} \) of water and places excess \( \mathrm{PbSO_4}(s) \) in another beaker containing \( 100\ \mathrm{mL} \) of water. The student stirs the contents of the beakers and then measures the electrical conductivity of the solution in each beaker. The student observes that the conductivity of the solution in the beaker containing the \( \mathrm{CaSO_4}(s) \) is higher than the conductivity of the solution in the beaker containing the \( \mathrm{PbSO_4}(s) \).
(b) Which compound is more soluble in water, \( \mathrm{CaSO_4}(s) \) or \( \mathrm{PbSO_4}(s) \)? Justify your answer based on the results of the conductivity test.
The left side of the diagram below shows a particulate representation of the contents of the beaker containing the \( \mathrm{CaSO_4}(s) \) from the solution conductivity experiment.
(c) Draw a particulate representation of \( \mathrm{PbSO_4}(s) \) and the ions dissolved in the solution in the beaker on the right in the diagram. Draw the particles to look like those shown to the right of the beaker. Draw an appropriate number of dissolved ions relative to the number of dissolved ions in the beaker on the left.
(d) The student attempts to increase the solubility of \( \mathrm{CaSO_4}(s) \) by adding \( 10.0\ \mathrm{mL} \) of \( 2\ \mathrm{M\ H_2SO_4}(aq) \) to the beaker, and observes that additional precipitate forms in the beaker. Explain this observation.

Most-appropriate topic codes (AP Chemistry):

• Topic \( 2.3 \) — Structure of Ionic Solids (Part \( \mathrm{(a)} \))
• Topic \( 3.10 \) — Solubility (Part \( \mathrm{(b)} \), Part \( \mathrm{(d)} \))
• Topic \( 3.8 \) — Representations of Solutions (Part \( \mathrm{(c)} \))
• Topic \( 7.12 \) — Common-Ion Effect (Part \( \mathrm{(d)} \))
▶️ Answer/Explanation

(a)
For a correct description:
Ionic solids do not have free-moving ions that are required to carry an electric current. Therefore, there is no conduction of electricity.

In both solids, the ions are locked into fixed positions in a crystal lattice, so they cannot move from place to place and carry charge.

(b)
For the correct answer and a valid justification:
\( \mathrm{CaSO_4} \). The greater electrical conductivity of the \( \mathrm{CaSO_4} \) solution relative to the \( \mathrm{PbSO_4} \) solution implies a higher concentration of ions, which comes from the dissolution \( (\text{dissociation}) \) of \( \mathrm{CaSO_4} \) to a greater extent.

More dissolved ions in solution means better conductivity, so the more conductive beaker must contain the more soluble salt.

(c)
For a correct drawing that shows an equal number of cations and anions:
The drawing shows solid \( \mathrm{PbSO_4} \) at the bottom of the beaker \( (\text{similar to the solid shown for } \mathrm{CaSO_4}) \) and fewer dissolved \( \mathrm{Pb^{2+}} \) and \( \mathrm{SO_4^{2-}} \) ions in the solution.

The number of dissolved \( \mathrm{Pb^{2+}} \) ions must equal the number of dissolved \( \mathrm{SO_4^{2-}} \) ions, because the dissolved salt separates in a \( 1:1 \) ratio.

(d)
For a correct explanation:
The additional precipitate is \( \mathrm{CaSO_4} \) that forms in response to the increased \( [\mathrm{SO_4^{2-}}] \) in solution. According to Le Châtelier’s principle \( (Q > K_{sp}) \), the introduction of \( \mathrm{SO_4^{2-}} \) as a common ion shifts the equilibrium towards the formation of more \( \mathrm{CaSO_4}(s) \).

 

Adding \( \mathrm{H_2SO_4} \) increases sulfate ion concentration, so the dissolution equilibrium \( \mathrm{CaSO_4}(s) \rightleftharpoons \mathrm{Ca^{2+}}(aq) + \mathrm{SO_4^{2-}}(aq) \) shifts left and more solid forms.

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