Exams › NEET › Chemistry › The Solid State
59 questions with worked solutions.
Q1. Which one of the following statements about the zeolites is false?
Answer: Some of the SiO4⁴⁻ units are replaced by AlO4⁵⁻ and AlO6⁵⁻ ions in zeolites
Zeolites are aluminosilicates where some SiO4⁴⁻ units are replaced by AlO4⁵⁻ ions, but not AlO6⁵⁻ ions. The statement mentioning AlO6⁵⁻ is incorrect.
Q2. Glass is a:
Answer: Supercooled liquid
Glass is considered a supercooled liquid because it lacks a crystalline structure and exhibits properties of an amorphous solid.
Q3. When electrons are trapped into the crystal in anion vacancy, the defect is known as
Answer: F-centres
When electrons are trapped in anion vacancies, they create F-centres, which impart color to the crystal. This is a specific type of defect in the crystal lattice.
Q4. On doping Ge metal with a little of In or Ga, one gets
Answer: p-type semi conductor
When Ge (a group 14 element) is doped with In or Ga (group 13 elements), it introduces holes as the majority charge carriers, forming a p-type semiconductor.
Q5. For two ionic solids CaO and KI, identify the wrong statement amongst the following:
Answer: KI has higher melting point
The melting point of CaO is higher than that of KI due to stronger ionic bonds in CaO, as it involves divalent ions (Ca²⁺ and O²⁻) compared to monovalent ions (K⁺ and I⁻) in KI. Thus, option C is incorrect.
Q6. An example of a double salt is
Answer: Potash Alum
Double salts are compounds that dissociate into their constituent ions in solution. Potash alum (KAl(SO4)2·12H2O) is a classic example of a double salt.
Q7. The ability of a substance to assume two or more crystalline structures is called
Answer: Polymorphism
Polymorphism refers to the ability of a substance to exist in two or more different crystalline forms. This is a property of certain solids.
Answer: Liquid crystals
The described behavior, where a crystalline substance transitions to a turbid liquid and then to a clear liquid upon heating, is characteristic of liquid crystals. These substances exhibit properties of both liquids and solids in specific temperature ranges.
Answer: 241.5 pm
In the NaCl structure, the radius ratio (r+/r−) for cation to anion is approximately 0.414 for stable coordination. Given the cation radius is 100 pm, the anion radius can be calculated as r− = r+/0.414 = 100/0.414 ≈ 241.5 pm.
Answer: 5.96 × 10⁻³
The fraction of unoccupied sites is calculated using the formula: (X-ray density - Pycnometric density) / X-ray density. Substituting the given values, (2.178 × 10³ - 2.165 × 10³) / 2.178 × 10³ = 5.96 × 10⁻³.
Answer: 6
In the NaCl structure, each cation is surrounded by six anions in an octahedral arrangement. Similarly, in MgO, each magnesium ion is surrounded by six oxygen ions.
Answer: 12
In an hcp (hexagonal close-packed) structure, each atom is surrounded by 12 nearest neighbors due to its efficient packing arrangement.
Answer: C3A2
In an hcp lattice, the number of anions (A) is equal to the number of lattice points, i.e., 1. The number of octahedral voids is also equal to the number of lattice points. Since 75% of octahedral voids are occupied by cations (C), the ratio of cations to anions is 3:2, giving the formula C3A2.
Answer: √3/√2
The density ratio depends on the packing efficiency of the structures. For bcc, the packing efficiency is 68%, and for fcc, it is 74%. The ratio of densities is proportional to the ratio of packing efficiencies, which simplifies to √3/√2.
Q15. Most crystals show good cleavage because their atoms, ions or molecules are
Answer: arranged in planes
Crystals exhibit good cleavage because their atoms, ions, or molecules are arranged in planes, allowing them to break along these planes more easily.
Answer: √3/4 × 288 pm
In a body-centered cubic (bcc) structure, the relationship between the atomic radius (r) and the edge length (a) is r = √3/4 × a. Substituting a = 288 pm, the atomic radius is √3/4 × 288 pm.
Q17. The number of carbon atoms per unit cell of diamond unit cell is:
Answer: 8
Diamond has a face-centered cubic (FCC) structure with 8 carbon atoms per unit cell, considering the contribution of atoms at corners, faces, and inside the cell.
Answer: A₂B₃O₄
In a c.c.p. structure, the number of oxide ions (O²⁻) per unit cell is 4. The number of tetrahedral voids is twice the number of oxide ions, i.e., 8, and one-fourth of these are occupied by A²⁺, giving 2 A²⁺ ions. The number of octahedral voids equals the number of oxide ions, i.e., 4, and all are occupied by B⁺ ions. Thus, the formula is A₂B₄O₄, which simplifies to A₂B₃O₄.
Answer: 288 pm
In a face-centered cubic (FCC) lattice, the relation between the edge length (a) and the atomic radius (r) is given by: a = 2√2r. Substituting a = 408 pm, we get r = 144 pm. The diameter is 2r = 288 pm.
Answer: 335 pm
In a body-centered cubic lattice, the distance between two oppositely charged ions is half the body diagonal. The body diagonal is √3a, so the distance is (√3a)/2. Substituting a = 387 pm, the distance is (√3 × 387)/2 = 335 pm.