Structure of Ionic Solids
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AP Chemistry › Structure of Ionic Solids
Two ionic solids are compared: Solid X contains ${Na}^+$ and ${F}^-$ ions, and Solid Y contains ${Na}^+$ and ${I}^-$ ions. Assuming similar crystal structures, which statement best describes how the difference in anion size affects the strength of attractions in the lattice?
Solid X typically has stronger attractions because the smaller anion allows ions to be closer together.
Both solids have the same attractions because ionic bonding depends only on the ratio of ions, not their sizes.
Solid Y typically has stronger attractions because larger anions increase the number of ionion bonds.
Solid Y typically has stronger attractions because larger anions increase delocalized electron mobility.
Solid X typically has weaker attractions because smaller ions have fewer electrons to share covalently.
Explanation
This question evaluates how ion size influences attraction strength in ionic lattices. In Solid X (NaF), the smaller F⁻ anion allows closer approach to Na⁺, strengthening electrostatic attractions compared to larger I⁻ in Solid Y (NaI). Smaller interionic distances increase lattice energy, leading to stronger bonding in similar crystal structures. This is based on Coulomb's law, where force is inversely proportional to distance squared. A tempting distractor is that Solid Y has stronger attractions due to larger anions increasing ion-ion bonds, which is incorrect because it misconceives bond strength as depending on ion count rather than distance. When comparing ionic solids with the same cation, consider anion size effects on interionic distance to predict attraction strength.
An ionic compound contains ${Ca}^{2+}$ and ${F}^-$ ions in a repeating lattice. Which statement about the structure of the solid is correct?
The solid contains alternating neutral $\mathrm{CaF}$ units that pack together without electrostatic attraction.
The solid consists of discrete $\mathrm{CaF_2}$ molecules held together by intermolecular forces.
The solid is a metallic lattice in which $\mathrm{F}^-$ ions contribute delocalized electrons.
Each $\mathrm{Ca}^{2+}$ is surrounded by $\mathrm{F}^-$ ions, and each $\mathrm{F}^-$ is surrounded by $\mathrm{Ca}^{2+}$ ions in a 3D array.
The solid is an amorphous network in which ions are randomly distributed with no repeating pattern.
Explanation
This question assesses knowledge of the arrangement of ions in an ionic solid lattice. In the CaF₂ solid, each Ca²⁺ ion is surrounded by multiple F⁻ ions, and each F⁻ is surrounded by Ca²⁺ ions, forming a continuous 3D array held by electrostatic attractions. This structure ensures charge balance with a 1:2 ratio of Ca²⁺ to F⁻ ions, reflecting the +2 and -1 charges respectively. The repeating pattern maximizes attractions between opposite charges and minimizes repulsions, characteristic of ionic crystal structures. A tempting distractor is that the solid consists of discrete CaF₂ molecules held by intermolecular forces, which is wrong because it confuses ionic solids with molecular solids, ignoring the extended ionic lattice. When describing ionic solid structures, focus on the extended 3D arrangement of ions rather than discrete molecules.
A solid is composed of ${Al}^{3+}$ and ${O}^{2-}$ ions in a repeating lattice. Which ratio of ions in the lattice is required for overall electrical neutrality?
$1\ \mathrm{Al^{3+}}:1\ \mathrm{O^{2-}}$
$2\ \mathrm{Al^{3+}}:1\ \mathrm{O^{2-}}$
$2\ \mathrm{Al^{3+}}:3\ \mathrm{O^{2-}}$
$1\ \mathrm{Al^{3+}}:2\ \mathrm{O^{2-}}$
$3\ \mathrm{Al^{3+}}:2\ \mathrm{O^{2-}}$
Explanation
This question tests the skill of calculating ion ratios for electrical neutrality in an ionic lattice. The Al³⁺ ion has a +3 charge and O²⁻ has a -2 charge, so to balance charges, two Al³⁺ provide +6 and three O²⁻ provide -6. This 2:3 ratio ensures the overall lattice is neutral, as required for stable ionic solids. The repeating pattern in the 3D structure reflects this ratio, maintaining electrostatic stability throughout the crystal. A tempting distractor is 3 Al³⁺:2 O²⁻, which is wrong because it results in a net +1 charge, stemming from the misconception of reversing the charge-based ratio. For neutrality in ionic compounds, use the least common multiple of charge magnitudes to find the balanced ion ratio.
A crystal is composed of Al$^{3+}$ and O$^{2-}$ ions arranged in a repeating lattice. Which empirical formula correctly represents the simplest whole-number ratio of ions in the solid?
Al$_2$O$_3$
AlO
Al$_3$O$_2$
AlO$_2$
Al$_2$O
Explanation
This question tests the skill of deriving the empirical formula for an ionic solid based on ion charges and charge neutrality. The correct answer, choice C, gives Al₂O₃ as the simplest whole-number ratio, where two Al³⁺ ions (total +6 charge) balance three O²⁻ ions (total -6 charge) in the repeating lattice. This formula reflects the need for electrical neutrality in the crystal, achieved by finding the least common multiple of the charges (6) and adjusting the ion counts accordingly. The principle ensures the lattice is stable with no net charge per formula unit. A tempting distractor is choice B, AlO₂, which arises from the misconception of directly using the charge values as subscripts without balancing the total charges. To find ionic empirical formulas, always use the crisscross method or least common multiple to ensure charge balance in the ratio.
A sample of magnesium fluoride is described as an extended crystal in which Mg$^{2+}$ and F$^-$ ions alternate in a repeating 3D pattern. Which statement best describes a structural feature of this ionic solid?
The crystal consists of alternating ions, but the attractions are primarily due to shared electron pairs in covalent bonds.
The crystal consists of ions that are randomly arranged, so there is no repeating pattern in the solid.
The crystal consists of a repeating lattice of ions held together by electrostatic attractions between oppositely charged ions.
The crystal consists of neutral Mg and F atoms in a sea of mobile electrons that allows malleability.
The crystal consists of discrete MgF$_2$ molecules held together by hydrogen bonding between molecules.
Explanation
This question tests the understanding of the basic structure of ionic solids, focusing on the arrangement and bonding of ions in a crystal lattice. The correct answer, choice A, accurately describes magnesium fluoride as a repeating lattice of Mg²⁺ and F⁻ ions held together by strong electrostatic attractions between oppositely charged ions, which is consistent with the extended 3D pattern mentioned in the question. This structure arises because ionic solids form from the transfer of electrons, resulting in cations and anions that attract each other in a way that maximizes opposite-charge interactions and minimizes like-charge repulsions. The alternating pattern ensures charge balance and stability throughout the crystal. A tempting distractor is choice B, which incorrectly suggests discrete MgF₂ molecules held by hydrogen bonding, reflecting the misconception of treating ionic compounds as molecular rather than as extended ionic lattices. To analyze ionic solid structures, always recall that they consist of infinite arrays of ions bound by ionic bonds, not discrete molecules with intermolecular forces.
A student compares a metallic solid to an ionic solid. Which property is most typical of an ionic solid composed of Na$^+$ and O$^{2-}$ ions?
Formation of a molecular crystal because NaO units act as discrete molecules.
Malleability because layers of atoms can slide while bonding is maintained.
Brittleness because shifting ions can bring like charges into contact.
Low melting point because only weak intermolecular forces must be overcome.
High electrical conductivity in the solid state due to delocalized electrons.
Explanation
This question tests the identification of properties unique to ionic solids compared to others like metals. The correct answer, choice C, notes brittleness due to like-charge repulsion when ions shift, typical for the rigid lattice of Na⁺ and O²⁻ ions. This contrasts with metals' malleability from delocalized electrons. The property arises from the alternating ion arrangement that fractures under deformation. A tempting distractor is choice B, malleability, which applies to metals and misapplies metallic bonding to ionic structures, a common confusion. To compare solid types, link properties directly to their bonding and particle mobility.
A student strikes a crystal of an ionic solid composed of $\text{K}^+$ and $\text{Br}^-$. The crystal shatters rather than bends. Which statement best accounts for this behavior?
The ions are held together by weak intermolecular forces that break easily upon impact.
Covalent bonds between K and Br atoms break, producing brittle fragments.
The ions can rearrange without changing attractions, allowing layers to slide past one another.
When the lattice shifts, like charges can become adjacent, increasing repulsion and causing fracture.
The solid contains mobile electrons that cause the lattice to crack under stress.
Explanation
This question tests understanding of the brittleness of ionic solids and how their structure relates to mechanical properties. Ionic solids are brittle because when stress is applied, the ordered lattice can shift, causing ions of like charge to become adjacent to each other, resulting in strong electrostatic repulsion that causes the crystal to fracture along cleavage planes. In the KBr lattice, K⁺ and Br⁻ ions alternate in a regular pattern, but mechanical stress can displace layers so that K⁺ ions align with K⁺ ions and Br⁻ with Br⁻, creating repulsion. Choice B incorrectly suggests that layers can slide without changing attractions, which describes metallic solids but not ionic ones - in ionic solids, shifting disrupts the attractive pattern. To predict mechanical properties, consider how structural changes affect the balance of attractive and repulsive forces.
A crystal contains ions described as “hard spheres” packed in a regular pattern. The ions are Ti$^{4+}$ and O$^{2-}$. Which empirical formula is consistent with charge neutrality in the lattice?
TiO$_2$
TiO
Ti$_4$O$_2$
Ti$_2$O$_3$
Ti$_2$O
Explanation
This question tests determining an empirical formula for charge neutrality in a packed ionic crystal. The correct answer, choice B, is TiO₂, with one Ti⁴⁺ (+4) balanced by two O²⁻ (total -4), consistent with hard-sphere packing in a regular pattern. This simplest ratio ensures lattice stability. The formula reflects ion proportions for neutrality. A tempting distractor is choice A, TiO, assuming 1:1 despite charges, a misconception from equating ratios without balancing. For packed ion formulas, prioritize charge balance over packing details.
An ionic solid contains $\text{Ba}^{2+}$ and $\text{SO}_4^{2-}$. Which statement best describes the forces that hold the solid together?
Hydrogen bonding between sulfate ions holds the solid together in layers.
London dispersion forces between neutral formula units are the primary attraction in the solid.
Covalent bonds between Ba and S atoms hold discrete molecules together in the solid.
Attractive forces between $\text{Ba}^{2+}$ and $\text{SO}_4^{2-}$ ions throughout the lattice hold the solid together.
Metallic bonding from delocalized electrons shared among Ba and sulfate units holds the solid together.
Explanation
This question tests understanding of the forces holding ionic solids together. In an ionic solid containing Ba²⁺ and SO₄²⁻, the attractive electrostatic forces between the positively charged barium ions and negatively charged sulfate ions throughout the three-dimensional lattice hold the solid together. These ionic attractions extend in all directions, creating a stable crystal structure. Choice B incorrectly suggests covalent bonds between Ba and S atoms, which misunderstands that BaSO₄ is an ionic compound where the sulfate ion maintains its polyatomic structure - the Ba-SO₄ interaction is ionic, not covalent. To identify bonding in ionic solids, recognize that metal cations and polyatomic anions interact through electrostatic attractions, not covalent bonds.
A crystalline solid is composed of $\text{Na}^+$ and $\text{S}^{2-}$. Which statement best explains why the formula unit is $\text{Na}_2\text{S}$ rather than NaS?
NaS would be unstable because ionic compounds must contain equal numbers of cations and anions.
NaS would conduct electricity as a solid due to delocalized electrons, so it cannot form.
NaS would form molecules with covalent Na–S bonds instead of ions.
Two $\text{Na}^+$ ions are needed to balance the charge of one $\text{S}^{2-}$ ion in the lattice.
NaS would require sulfur to have a $-1$ oxidation state, which is not allowed in solids.
Explanation
This question tests understanding of charge balance in ionic compounds and formula unit determination. In ionic solids, the formula unit represents the simplest whole number ratio of ions that achieves electrical neutrality. Since Na⁺ has a +1 charge and S²⁻ has a -2 charge, two sodium ions are needed to balance the charge of one sulfide ion, resulting in Na₂S. Choice B incorrectly suggests that ionic compounds must have equal numbers of cations and anions, which is only true when the charges have equal magnitude - this misconception ignores the importance of charge balance over particle count. To determine ionic formula units, multiply the number of each ion by its charge and ensure the sum equals zero.