All questions
Question 1
A compound is formed between an unknown element X from Group 2 and an unknown element Y from Group 15 of the periodic table. What is the most likely empirical formula of this ionic compound?
- XY
- X₂Y₃
- X₃Y₂ (correct answer)
- X₅Y₂
Explanation: Element X is in Group 2, so it will lose two valence electrons to form a stable cation with a +2 charge (X²⁺). Element Y is in Group 15, so it will gain three electrons to achieve a stable octet, forming an anion with a -3 charge (Y³⁻). To form a neutral compound, the total positive charge must equal the total negative charge. The lowest common multiple of 2 and 3 is 6. Therefore, three X²⁺ ions (total charge +6) are needed to balance two Y³⁻ ions (total charge -6), giving the empirical formula X₃Y₂.
Question 2
A white crystalline solid is found to have a melting point of 801 °C. It is a poor conductor of electricity in the solid state but conducts well when dissolved in water. Which substance best fits this description?
- Silicon dioxide (SiO₂)
- Iodine (I₂)
- Sodium chloride (NaCl) (correct answer)
- Graphite (C)
Explanation: The properties described (high melting point, solid-state insulator, aqueous conductor) are characteristic of an ionic compound. Sodium chloride (NaCl) is an ionic solid with a high melting point (801 °C) that conducts electricity only when its ions are mobile (molten or dissolved). Silicon dioxide is a covalent network solid with a very high melting point but is insoluble. Iodine is a molecular solid with a very low melting point. Graphite is a covalent network solid that conducts electricity in the solid state.
Question 3
Which description accurately represents the electron transfer process during the formation of barium nitride?
- Each of three barium atoms transfers two electrons to each of two nitrogen atoms, forming Ba²⁺ and N³⁻ ions. (correct answer)
- Each of two barium atoms transfers three electrons to each of three nitrogen atoms, forming Ba³⁺ and N²⁻ ions.
- Each barium atom transfers one electron to a nitrogen atom, and the resulting ions share electrons to achieve octets.
- Each of two nitrogen atoms accepts three electrons, one from each of six different barium atoms, forming a complex lattice.
Explanation: Barium (Group 2) forms a Ba²⁺ ion by losing two electrons. Nitrogen (Group 15) forms a N³⁻ ion by gaining three electrons. The formula for barium nitride is Ba₃N₂. This means three barium atoms are required for every two nitrogen atoms. In total, the three Ba atoms lose 3 × 2 = 6 electrons. These six electrons are gained by the two N atoms, with each N atom gaining 2 × 3 = 6 electrons. Therefore, three Ba atoms each transfer two electrons to two N atoms.
Question 4
A student analyzes three compounds with the formulas MgF2, AlF3, and CaF2. Using the ionic model, which statement best explains the relative lattice energies of these compounds?
- AlF3 has the highest lattice energy because Al3+ has the highest charge density, followed by MgF2, then CaF2 (correct answer)
- CaF2 has the highest lattice energy because Ca2+ is the largest cation, creating stronger electrostatic attractions with F− ions
- MgF2 has the highest lattice energy because magnesium has the smallest atomic number among the three metals
- All three compounds have similar lattice energies because they all contain fluoride ions with the same charge
Explanation: According to the ionic model, lattice energy is proportional to the product of charges and inversely proportional to the distance between ions. Al³⁺ has the highest charge (+3), giving AlF₃ the highest lattice energy. Between MgF₂ and CaF₂, both have +2 cations, but Mg²⁺ is smaller than Ca²⁺, making the Mg²⁺-F⁻ distance shorter and thus MgF₂ has higher lattice energy than CaF₂. B is wrong because larger cations create weaker attractions. C ignores charge effects. D ignores the different cation charges and sizes.
Question 5
Using the ionic model, analyze why NaCl adopts a 6:6 coordination (rock salt structure) while CsCl adopts an 8:8 coordination structure. What is the primary determining factor?
- The electronegativity difference between the metal and chlorine is greater for cesium than sodium, requiring higher coordination numbers
- The lattice energy is maximized differently for each compound based on the cation size, with larger cations preferring lower coordination geometries
- Cesium has more electrons than sodium, creating stronger London dispersion forces that stabilize the higher coordination structure
- The radius ratio ranionrcation is larger for CsCl than NaCl, allowing the larger cesium ion to accommodate more chloride neighbors (correct answer)
Explanation: When you encounter questions about ionic crystal structures, the key concept is understanding how ion size relationships determine coordination geometry. The ionic model treats ions as hard spheres that pack together to maximize electrostatic attraction while minimizing repulsion.
The critical factor determining coordination number is the radius ratio ranionrcation. For stable ionic packing, cations must be large enough to "touch" their surrounding anions without causing anion-anion repulsion. Sodium ion (r=102 pm) is much smaller than cesium ion (r=167 pm), while both bond with chloride ions (r=181 pm). This gives NaCl a radius ratio of ~0.56 and CsCl a ratio of ~0.93. The larger cesium ion can accommodate eight chloride neighbors in a cubic arrangement, while the smaller sodium ion fits optimally with six chloride neighbors in an octahedral arrangement.
Option A incorrectly focuses on electronegativity differences, but both compounds are highly ionic with similar electronegativity gaps. Option B has the relationship backwards – larger cations actually prefer higher coordination numbers when geometrically feasible, and lattice energy considerations alone don't determine structure. Option C mentions London dispersion forces, which are negligible in ionic compounds compared to electrostatic forces and don't explain coordination preferences.
Remember this pattern: larger radius ratios enable higher coordination numbers. When comparing ionic structures, always consider the geometric constraints imposed by ion sizes rather than other secondary factors. Question 6
Using the ionic model to analyze defects in crystal structures, predict what happens when a small amount of Ca2+ is substituted for Na+ in a NaCl crystal lattice.
- Each Ca2+ substitution creates one cation vacancy to maintain charge neutrality, increasing ionic conductivity through vacancy migration (correct answer)
- Each Ca2+ substitution requires removal of one Cl− ion to maintain charge neutrality, creating anion vacancies throughout the crystal
- The Ca2+ ions cannot substitute for Na+ because the size difference is too large for the rock salt structure to accommodate
- Each Ca2+ substitution creates local charge imbalances that are compensated by electron delocalization, making the crystal electrically conductive
Explanation: When Ca²⁺ (charge +2) substitutes for Na⁺ (charge +1), the crystal gains +1 extra positive charge per substitution. To maintain overall electrical neutrality, one Na⁺ site must remain vacant for every Ca²⁺ substitution. These cation vacancies enable ionic conduction through vacancy migration mechanisms. B incorrectly suggests anion vacancies form instead. C incorrectly focuses on size effects rather than charge compensation (Ca²⁺ and Na⁺ are actually similar enough in size for substitution). D incorrectly invokes electronic conduction, which doesn't occur in ionic crystals.
Question 7
A researcher compares the thermal expansion coefficients of MgO and BaO, both having the same crystal structure. Using the ionic model, predict which compound has the higher thermal expansion coefficient and explain the underlying reason.
- MgO has higher thermal expansion because the smaller ions create more directional bonding that responds more sensitively to temperature changes
- MgO has higher thermal expansion because the higher lattice energy creates stronger temperature dependence of the interionic potential energy
- Both compounds have identical thermal expansion coefficients because they have the same charges on their ions and identical crystal structures
- BaO has higher thermal expansion because the larger ions have weaker electrostatic attractions, making the lattice more responsive to thermal energy (correct answer)
Explanation: When analyzing thermal expansion in ionic compounds, you need to consider how temperature affects the balance between kinetic energy and electrostatic forces holding the crystal lattice together. As temperature increases, atoms vibrate more vigorously, and weaker bonds allow greater expansion.
The key insight is that thermal expansion is inversely related to bond strength. Weaker electrostatic attractions between ions make the lattice more susceptible to thermal motion, leading to greater expansion. In ionic compounds, electrostatic force follows Coulomb's law: F=r2kq1q2, where r is the distance between ion centers.
BaO has higher thermal expansion because Ba2+ and O2− ions are significantly larger than Mg2+ and O2− ions. The greater interionic distances in BaO result in weaker electrostatic attractions, making the lattice more responsive to thermal energy. This makes option D correct.
Option A incorrectly suggests smaller ions create more temperature-sensitive bonding—actually, smaller ions form stronger, less expandable bonds. Option B misapplies the concept of lattice energy; higher lattice energy (found in MgO) actually resists thermal expansion. Option C ignores the crucial role of ionic size—while charge and structure matter, ionic radii significantly affect bond strength and thermal behavior.
Remember: in ionic solids, larger ions typically mean weaker electrostatic forces and higher thermal expansion coefficients. Always consider how ionic size affects the strength of electrostatic interactions when comparing similar compounds. Question 8
A chemist observes that compound MX dissolves readily in water with significant heat evolution, while compound MY requires heating to dissolve and absorbs heat during dissolution. Both contain the same metal M. According to the ionic model, what can be concluded about the relative sizes of anions X⁻ and Y⁻?
- X⁻ is smaller than Y⁻ because smaller anions create higher lattice energy, leading to greater heat release when overcome by hydration
- X⁻ is larger than Y⁻ because larger anions have lower lattice energy and higher hydration energy, favoring exothermic dissolution
- X⁻ is smaller than Y⁻ because smaller anions have higher hydration energy that exceeds their higher lattice energy contribution (correct answer)
- The anion sizes cannot be compared because the dissolution behavior depends primarily on the metal cation properties, not the anions
Explanation: Heat of dissolution = Hydration energy - Lattice energy. For MX (exothermic): hydration energy > lattice energy. For MY (endothermic): lattice energy > hydration energy. Smaller ions have both higher lattice energy and higher hydration energy. For X⁻ being smaller: the increase in hydration energy outweighs the increase in lattice energy, making dissolution exothermic. For larger Y⁻: lower hydration energy cannot overcome even the lower lattice energy, requiring heat input. A incorrectly suggests higher lattice energy leads to more heat release. B incorrectly states the size relationship. D incorrectly dismisses anion effects.
Question 9
Two ionic compounds, LiF and CsI, have the same crystal structure type. Using the ionic model, predict which compound should have the higher electrical conductivity when molten, and explain the primary factor.
- LiF will have higher conductivity because the smaller Li+ and F− ions can move more rapidly through the molten state
- CsI will have higher conductivity because the larger Cs+ and I− ions have weaker interionic forces and greater mobility in the melt (correct answer)
- LiF will have higher conductivity because the higher charge density creates stronger ion-dipole interactions that facilitate charge transport
- Both compounds will have identical conductivity because they contain the same number of ions per formula unit and have the same crystal structure
Explanation: In the molten state, electrical conductivity depends on ion mobility and the ease of breaking interionic attractions. CsI has much weaker interionic forces than LiF due to the larger ionic sizes, leading to lower viscosity and higher ion mobility in the melt. Although Li⁺ and F⁻ are individually smaller, the very strong electrostatic attractions in LiF (due to small size and high charge density) create a more viscous melt that impedes ion movement. A incorrectly ignores the effect of interionic forces. C incorrectly applies solution chemistry concepts to molten salts. D ignores the significant difference in interionic force strength.
Question 10
A student measures the electrical conductivity of aqueous solutions containing 0.1 M concentrations of NaCl, MgCl2, and AlCl3. According to the ionic model, rank these solutions in order of increasing conductivity and identify the primary reason.
- NaCl<MgCl2<AlCl3 because higher cation charge creates more ions per formula unit and stronger ion-dipole interactions
- AlCl3<MgCl2<NaCl because higher charged cations create more ion pairing, reducing the effective number of charge carriers
- NaCl<MgCl2<AlCl3 because the total number of ions increases with cation charge: 2, 3, and 4 ions respectively (correct answer)
- All three solutions have equal conductivity because they have the same molar concentration and contain the same anion type
Explanation: Conductivity depends on the total number of ions in solution. At 0.1 M: NaCl produces 0.2 M total ions (0.1 M Na⁺ + 0.1 M Cl⁻), MgCl₂ produces 0.3 M total ions (0.1 M Mg²⁺ + 0.2 M Cl⁻), and AlCl₃ produces 0.4 M total ions (0.1 M Al³⁺ + 0.3 M Cl⁻). Higher charged ions also carry more charge per ion. A mentions ion-dipole interactions, which don't directly determine conductivity ranking. B incorrectly suggests ion pairing dominates at these concentrations and charges. D ignores the different numbers of ions produced by each compound.
Question 11
An ionic compound X2Y has a melting point of 1850°C, while compound XY2 has a melting point of 2540°C. Both compounds contain the same metal X. According to the ionic model, what can be concluded about the charges on the ions?
- In X2Y, X has charge +1 and Y has charge -2; in XY2, X has charge +2 and Y has charge -1
- In X2Y, X has charge +2 and Y has charge -4; in XY2, X has charge +4 and Y has charge -2
- In X2Y, X has charge +1 and Y has charge -2; in XY2, X has charge +4 and Y has charge -2 (correct answer)
- The charges cannot be determined from melting point data alone because ionic size effects dominate over charge effects
Explanation: The formulas indicate charge ratios: X₂Y means 2X + 1Y = 0, so if Y = -2, then X = +1. XY₂ means 1X + 2Y = 0, so if Y = -2, then X = +4. The much higher melting point of XY₂ (2540°C vs 1850°C) supports this because lattice energy depends on the product of charges: (+1)(-2) = -2 for X₂Y vs (+4)(-2) = -8 for XY₂. The higher charge product creates much stronger ionic attractions. A gives the wrong charges for XY₂. B has unrealistic -4 charge. D incorrectly dismisses the strong relationship between charge and melting point.
Question 12
Using the ionic model to predict solubility trends, which compound would be expected to be LEAST soluble in water, and what is the primary reason?
- BaSO4 because both Ba2+ and SO42− are large ions that create weak ion-dipole interactions with water
- Al2O3 because the high charge density of Al3+ and O2− ions creates very strong lattice energy that water cannot overcome (correct answer)
- AgCl because silver has d-electrons that interfere with the ionic bonding model and reduce water solubility
- CaCO3 because carbonate ions are too large to fit between water molecules in the hydration sphere
Explanation: According to the ionic model, solubility depends on the balance between lattice energy and hydration energy. Al₂O₃ has extremely high lattice energy due to the high charges on Al³⁺ and O²⁻ ions (charge product = 6), making it essentially insoluble because water cannot provide enough hydration energy to overcome the strong ionic attractions. A incorrectly suggests large ions create weak interactions (they actually create strong lattice energy). C incorrectly invokes d-electrons, which aren't part of the basic ionic model. D gives an incorrect geometric explanation for carbonate solubility.
Question 13
What is the ratio of cations to anions in one formula unit of iron(III) sulfate?
- 1:1
- 2:3 (correct answer)
- 3:2
- 1:3
Explanation: Iron(III) indicates the iron ion has a charge of +3, i.e., Fe³⁺. The sulfate ion is a polyatomic ion with the formula SO₄²⁻ and a charge of -2. To form a neutral compound, the total positive and negative charges must balance. The lowest common multiple of 3 and 2 is 6. We need two Fe³⁺ ions (2 × +3 = +6) and three SO₄²⁻ ions (3 × -2 = -6). The formula is Fe₂(SO₄)₃. Therefore, the ratio of cations (Fe³⁺) to anions (SO₄²⁻) is 2:3.
Question 14
Which pair of gaseous ions, when forming a solid ionic lattice, would be expected to release the greatest amount of energy (i.e., have the most exothermic lattice enthalpy)?
- K⁺(g) and Br⁻(g)
- Ca²⁺(g) and S²⁻(g)
- Al³⁺(g) and N³⁻(g) (correct answer)
- Na⁺(g) and Cl⁻(g)
Explanation: Lattice enthalpy is most strongly influenced by the product of the ionic charges. A higher product of charges leads to a much stronger electrostatic attraction and a more exothermic lattice enthalpy. The charges for the pairs are: (A) +1, -1; (B) +2, -2; (C) +3, -3; (D) +1, -1. The pair Al³⁺ and N³⁻ has the highest product of charges (3 × 3 = 9), and therefore would release the most energy upon formation of the lattice.
Question 15
How is the magnitude of the lattice enthalpy expected to change when moving down the Group 1 chlorides, from LiCl to CsCl?
- It increases, because the increasing size of the cation leads to greater electron cloud polarization.
- It decreases, because the increasing radius of the cation weakens the electrostatic attraction to the chloride ion. (correct answer)
- It remains relatively constant, because the charge on the cation (+1) and anion (-1) does not change.
- It decreases, because the electronegativity of the cation decreases, making the bond less ionic in character.
Explanation: Lattice enthalpy is a measure of the strength of the electrostatic forces in an ionic lattice. According to Coulomb's Law, this force is inversely proportional to the distance between the ions. Moving down Group 1 from Li⁺ to Cs⁺, the ionic radius of the cation increases due to the addition of electron shells. The charge on the cation (+1) and the anion (Cl⁻) remains constant. The increased distance between the ion centers leads to a weaker electrostatic attraction, and thus a less exothermic (smaller magnitude) lattice enthalpy.
Question 16
What is the correct chemical formula for aluminium hydrogencarbonate?
- Al(HCO₃)₃ (correct answer)
- AlHCO₃
- Al₂(HCO₃)₃
- Al₃HCO₃
Explanation: Aluminium is in Group 13 and forms a stable ion with a +3 charge (Al³⁺). The hydrogencarbonate ion is a polyatomic ion with the formula HCO₃⁻ and a charge of -1. To create a neutral ionic compound, three hydrogencarbonate ions are needed to balance the +3 charge of one aluminium ion. Therefore, the correct formula is Al(HCO₃)₃.
Question 17
Which statement correctly compares the radius of a sulfur atom (S) and its corresponding sulfide ion (S²⁻)?
- The S²⁻ ion is smaller than the S atom because the added electrons are pulled closer by the nucleus.
- The S²⁻ ion is larger than the S atom because the same nuclear charge is attracting more electrons, increasing electron-electron repulsion. (correct answer)
- They have the same radius because the number of protons and the energy levels occupied remain unchanged.
- The S²⁻ ion is smaller than the S atom because gaining electrons increases the effective nuclear charge.
Explanation: Anions are always larger than their parent atoms. When a neutral sulfur atom (16 protons, 16 electrons) gains two electrons to form the S²⁻ ion (16 protons, 18 electrons), the electrons are added to the same valence shell. The nuclear charge (number of protons) remains unchanged. The increased number of electrons leads to greater electron-electron repulsion, causing the electron cloud to expand. This makes the S²⁻ ion significantly larger than the neutral S atom.
Question 18
The chemical formula for a compound is X₂(SO₄)₃. Based on the rules for ionic compounds, what is the charge on the metal ion X?
- +2
- +3 (correct answer)
- +1
- +6
Explanation: The sulfate ion (SO₄) is a polyatomic ion with a charge of -2. The formula X₂(SO₄)₃ indicates that there are three sulfate ions for every two X ions. The total negative charge from the three sulfate ions is 3 × (-2) = -6. To maintain electrical neutrality in the compound, the total positive charge from the two X ions must be +6. Therefore, the charge on a single X ion must be +6 / 2 = +3.
Question 19
A student claims that 'ionic bonding is simply the electrostatic attraction between oppositely charged ions.' Which statement provides the most significant refinement to this model?
- The model is fully accurate; attraction between discrete positive and negative ions is the only interaction present.
- The model is incomplete because it ignores the covalent bonds that exist between all ions in the lattice structure.
- The model is an oversimplification, as polarization of the anion by the cation introduces some covalent character. (correct answer)
- The model is flawed because ionic bonding also involves repulsive forces between the nuclei of adjacent ions.
Explanation: The purely ionic model assumes ions are perfect, hard spheres with integer charges. In reality, the positive charge of the cation can distort the electron cloud of the anion, a phenomenon called polarization. This pulling of electron density towards the cation introduces a degree of electron sharing, which is characteristic of covalent bonding. Therefore, most ionic bonds have some covalent character. This is an important refinement to the simple electrostatic model, especially for combinations like a small, highly charged cation and a large, polarizable anion.
Question 20
In the sodium chloride crystal lattice, what is the immediate environment of a single chloride ion (Cl⁻)?
- It is ionically bonded to a single sodium ion (Na⁺) forming a discrete molecule.
- It is surrounded by four sodium ions (Na⁺) in a tetrahedral geometry.
- It is surrounded by six sodium ions (Na⁺) in an octahedral geometry. (correct answer)
- It is surrounded by eight sodium ions (Na⁺) in a cubic geometry.
Explanation: The sodium chloride lattice has a face-centered cubic structure. In this arrangement, each ion is surrounded by six ions of the opposite charge. A central chloride ion will have one sodium ion above, one below, one to the left, one to the right, one in front, and one behind. This arrangement of six nearest neighbors corresponds to an octahedral geometry. The term 'coordination number' describes this, and for both Na⁺ and Cl⁻ in NaCl, it is 6.