CBSE 12th Standard Chemistry Subject The Solid State Chapter Case Study Questions 2021
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CBSE 12th Standard Chemistry Subject The Solid State Case Study Questions 2021
12th Standard CBSE
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Reg.No. :
Chemistry
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Read the passage given below and answer the following questions:
In hexagonal system of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling model of this structure, called hexagonal close packed (hep), is constituted of a sphere on a flat surface surrounded in the same plane by six identical spheres as closely as possible. Three spheres are then placed over the first layer so that they touch each other and represent the second layer. Each one of these three spheres touches three spheres of the bottom layer. Finally, the second layer is covered with a third layer that is identical to the bottom layer in relative position.
The following questions are multiple choice questions. Choose the most appropriate answer:
(I) The number of atoms in this hep unit cell is(a) 4 (b) 6 (c) 12 (d) 17 (ii) The volume of this hep unit cell is
\(\text { (a) } 24 \sqrt{2} r^{3}\) \(\text { (b) } 16 \sqrt{2} r^{3}\) \(\text { (c) } 12 \sqrt{2} r^{3}\) \(\text { (d) } \frac{64}{3 \sqrt{3}} r^{3}\) (iii) The empty space in this hep unit cell is
(a) 74% (b) 47.6% (c) 32% (d) 26% (iv) In hexagonal close packing of spheres in three-dimensions
(a) in one unit cell there are 12 octahedral voids and all are completely inside the unit cell (b) in one unit cell there are six octahedral voids and all are completely inside the unit cell (c) in one unit cell there are six octahedral voids out of which three are completely inside the unit cell and other three are from contributions of octahedral voids which are partially inside the unit cell (d) in one unit cell there are 12 tetrahedral voids, all are completely inside the unit cell. (a) -
Read the passage given below and answer the following questions:
Electron microscopic study of crystal defects enables us not only to reveal various structural imperfections, but also to discover their formation, mechanisms and to understand their effects on the properties of solid materials. There are commonly two types of imperfections: electronic imperfections and atomic imperfections or point defects.
Electronic imperfections correspond to defects in ionic crystal due to the electrons. Atomic imperfections or point defects correspond to the irregularity of atoms around a point or an atom. The point defects in ionic crystals may be classified as : defects in stoichiometric crystals, defects in non-stoichiometric crystals and impurity defects.
In stoichiometric crystals, generally two types of defects are observed: Schottky defect and Frankel defect. Schottky defect arises when some of the atoms or ions are missing from their normal lattice sites. Due to the schottky defect, density of ionic crystals decreases markedly. For example NaCI, KCI, CsCI, AgBr ionic solids have schottky defects. It has been observed that in NaCl, there are about 106 Schottky pairs per cm3 at room temperature. Frankel defect arises when an ion is missing from its normal position and occupies an interstitial site between the lattice points. It does not affect the density of the crystals.
In non-stoichiometric crystals, two types of defects are there; metal excess defects and metal deficient defects. In metal excess defect, the positive ions are in excess whereas in metal deficient defects, number of positive ions are less than the negative ions. Impurity defects arise due to presence of some impurity ions at the lattice sites.
In these questions (i - iv), a statement of assertion followed by a statement of reason is given. Choose the correct answer out of the following choices.
(a) Assertion and reason both are correct statements and reason is correct explanation for assertion.
(b) As ertion and reason both are correct statements but reason is not correct explanation for assertion.
(c) Assertion is correct statement but reason is wrong statement.
(d) Assertion is wrong statement but reason is correct statement.
(i) Assertion: In any ionic solid [MX] with Schottky defects, the number of positive and negative ions are same.
Reason: Equal number of cation and anion vacancies are present.
(ii) Assertion: Due to Frenkel defect there is no effect on the density of the crystalline solid.
Reason: In Frenkel defect, no cation or anion leaves the crystal.
(iii) Assertion: No compound has both Schottky and Frenkel defects.
Reason: Schottky defects change the density of the solid.
(iv) Assertion: NaCI and KCI show metal excess defect.
Reason: Zinc oxide is white in colour at room temperature and on heating it loses oxygen and turns yellow due to metal excess defect.(a) -
Read the passage given below and answer the following questions:
In an assembly of atoms or molecules, a solid phase is formed whenever the interatomic attractive forces significantly exceed the disruptive thermal forces and thus restrict the mobility of atoms, forcing them into more or less fixed positions. From energy considerations, it is evident that in such solids the atoms or molecules will always attempt to assume highly ordered structures which are characterised by symmetry. Depending on the nature of the active interatomic forces, all solids may be subdivided into the following categories:
Ionic solids: These solids consist of positively and negatively charged ions arranged in a regular fashion throughout the solid. These solids are veryhard and brittle, have very high melting points and have high enthalpies of vaporisation, e.g., NaCl, MgO, KCl, LiCl etc.
Covalent solids: In these solids, the constituent particles are atoms which are linked together by a continuous system of covalent bonds. These bonds are strong and directional in nature. The covalent crystals are hard, have high melting points, are poor conductors of electricity. Diamond is a typical example of covalent solids.
Metallic solids : In these solids, the constituent particles are positive ions immersed in a sea of mobile electrons. Metallic solids may be hard as well as soft. They are good conductors of heat and electricity e.g., common metals such as nickel, copper and alloys.
Molecular solids : In these the constituent particles are molecules. The molecules are held together by dispersion forces or London forces, dipole-dipole forces or hydrogen bonds.
In these questions (Q. No. i-iv), a statement of assertion followed by a statement of reason is given. Choose the correct answer out of the following choices.
(a) Assertion and reason both are correct statements and reason is correct explanation for assertion.
(b) Assertion and reason both are correct statements but reason is not correct explanation for assertion.
(c) Assertion is correct statement but reason is wrong statement.
(d) Assertion is wrong statement but reason is correct statement.
(i) Assertion: Molecular solids are characterized by low melting point.
Reason: Molecular solids are made up of covalent molecules.
(ii) Assertion: Ionic solids are characterized by high melting and boiling point.
Reason: Ionic solids have coulombic forces of attraction between their ions.
(iii) Assertion: Covalent solids are insulators of electricity.
Reason: Covalent solids are constituted by ions.
(iv) Assertion: Diamond and graphite do not have the same covalent structure.
Reason: Silicon carbide is typical example of network solid.(a) -
Read the passage given below and answer the following questions:
Most important crystal lattices are the simple cubic, body centred cubic and face centred cubic. In simple cubic lattice, all the atoms are present at all the corners of the cube. In body-centred cubic lattice, atoms are present at all the corners and at the body-centre. In face-centred cubic lattice, atoms are present at the corners and at the centers of all' six faces.
In the formation of crystals, the constituent particles get closely packed together. The closely packed arrangement is that in which maximum available space is occupied leaving minimum vacant space. The most efficient close packing, can be achieved in two ways, one which is called hexagonal close packing (hcp) and the other, cubic close packing (ccp or fcc).
In these questions (i-iv), a statement of assertion followed by a statement of reason is given. Choose the correct answer out of the following choices.
(a) Assertion and reason both are correct statements and reason is correct explanation for assertion.
(b) Assertion and reason both are correct statements but reason is not correct explanation for assertion.
(c) Assertion is correct statement but reason is wrong statement.
(d) Assertion is wrong statement but reason is correct statement.
(i) Assertion: Face centred cubic cell has 4 atoms per unit cell.
Reason: In fcc unit cell, there are 8 atoms at the corners and 6 atoms at face centres.
(ii) Assertion: fee and hep have same packing efficiency.
Reason: bee and fee both have same number of atoms per unit cell and same arrangement.
(iii) Assertion: The total number of atoms present in a simple cubic unit cell is one.
Reason: Simple cubic unit cell has atoms at its corners, each of which is shared between eight adjacent unit cells.
(iv) Assertion: The packing efficiency is maximum for the fccstructure.
Reason: The coordination number is 12 in fcc structures.(a)
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CBSE 12th Standard Chemistry Subject The Solid State Case Study Questions 2021 Answer Keys
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(i) (b)
(ii) (a): Height of unit cell = \(4 r \sqrt{\frac{2}{3}}\)
Volume of unit cell = Height x Base area
\(=4 r \sqrt{\frac{2}{3}} \times 6 \times \frac{\sqrt{3}}{4} \times 4 r^{2}=24 \sqrt{2} r^{3}\)
(iii) (d): Packing fraction
\(\begin{array}{l} =\frac{\text { Volume of the atoms in one unit cell }}{\text { Volume of one unit cell }} \\ =\frac{6 \times \frac{4}{3} \pi r^{3}}{24 \sqrt{2} r^{3}}=\frac{\pi}{3 \sqrt{2}}=0.74=74 \% \end{array}\)
\(\therefore\) Empty space = 26%.
(iv) (b). -
(i) (a): In Schottky defect equal number of cations and anions are missing from their lattice sites. Therefore, an ionic solid MX with Schottky defect will still have the same number of anions and cations.
(ii) (a): In a Frenkel defect an ion leaves its position in the lattice and occupies normally vacant interstitial position.
(iii) (d): AgBr has both Schottky and Frenkel defect. Schottky defects lower the density of the crystal.
(iv) (b): ZnO shows such colour due to metal excess defect because of the presence of extra cation in interstitial sites. -
(I) (b): In molecular solids, molecules are held together by weak forces of attractions.
(ii) (a)
(iii) (c) : Covalent solids are constituted by atoms which can not conduct electricity. That is why covalents solids are insulators of electricity. Covalent solids are constituted by atoms.
(iv) (b) -
(i) (a)
(ii) (c): fcc and hep both have 74% packing efficiency. In bcc there are 2 atoms per unit cell while in fcc there are 4 atoms per unit cell and both have different arrangements.
(iii) (a)
(iv) (b): The no. of atoms in fcc structure is 4 per unit cell which provides a maximum efficiency as 74%.