Chapter 9

Advanced Problems in Physical Chemistry for Competitive Examinations · 80 exercises

Problem 44

The number of closest neighbours of a carbon atom in graphite is (a) 2 (b) 3 (c) 4 (d) 8

4 step solution

Problem 45

The low density of alkali metals is due to (a) their \(\mathrm{BCC}\) structure in which about \(32 \%\) of the available space is unfilled. (b) their HCP structure in which about \(74 \%\) of the available space is unfilled. (c) their cubic close packed (CCP) structure in which about \(74 \%\) of the available space is unfilled. (d) their \(\mathrm{BCC}\) structure in which about \(47 \%\) of the available space is unfilled.

5 step solution

Problem 46

The coordination number of a metal crystallizing in a HCP structure is (a) 12 (b) 4 (c) 8 (d) 6

3 step solution

Problem 49

Which of the following have the least void space fraction in their structure? (a) \(\mathrm{BCC}\) (b) \(\mathrm{BCC}\) and \(\mathrm{HCP}\) (c) \(\mathrm{HCP}\) (d) \(\mathrm{FCC}\) and \(\mathrm{HCP}\)

3 step solution

Problem 51

Which void is smallest in close packing? (a) tetrahedral (b) octahedral (c) cubic (d) square

4 step solution

Problem 52

Which of the following interstitial site is formed when the three closed packed spheres of one layer is put over three closed packed spheres of the second layer, their positions being inverted with respect to each other? (a) tetrahedral (b) octahedral (c) rhombohedral (d) tetragonal

3 step solution

Problem 53

In an FCC arrangement of metallic atoms, what is the relative ratio of the sizes of tetrahedral and octahedral voids? (a) \(0.543\) (b) \(0.732\) (c) \(0.414\) (d) \(0.637\)

4 step solution

Problem 54

Atoms of the element 'A' form HCP and atoms of element ' \(\mathrm{C}\) ' occupy only two-third of octahedral voids in it, then the general formula of the compound is (a) \(\mathrm{CA}\) (b) \(\mathrm{CA}_{2}\) (c) \(\mathrm{C}_{2} \mathrm{~A}_{3}\) (d) \(\mathrm{C}_{3} \mathrm{~A}_{2}\)

5 step solution

Problem 55

A solid has three types of atoms X, Y and Z. 'X' forms a FCC lattice with 'Y' atoms occupying all the tetrahedral voids and "Z' atoms occupying half the octahedral voids. The simplest formula of solid is (a) \(\mathrm{X}_{2} \mathrm{Y}_{4} \mathrm{Z}\) (b) \(\mathrm{XY}_{2} \mathrm{Z}_{4}\) (c) \(\mathrm{X}_{4} \mathrm{Y}_{2} \mathrm{Z}\) (d) \(\mathrm{X}_{4} \mathrm{YZ}_{2}\)

6 step solution

Problem 56

The ionic radii of \(\mathrm{Rb}^{+}\) and \(\mathrm{I}^{-}\) are \(1.46\) and \(2.16 \dot{\mathrm{A}}\), respectively. The most probable type of structure exhibited by it is (a) CsCl type (b) \(\mathrm{NaCl}\) type (c) \(\mathrm{ZnS}\) type (d) \(\mathrm{CaF}_{2}\) type

5 step solution

Problem 58

In the zinc blende structure \((\mathrm{ZnS}), \mathrm{S}^{2-}\) adopt CCP arrangement and \(\mathrm{Zn}^{2+}\) occupy (a) all octahedral voids (b) only \(50 \%\) of octahedral voids (c) only \(50 \%\) of tetrahedral voids (d) all tetrahedral voids

5 step solution

Problem 59

The number of nest nearest neighbours of \(\mathrm{Cs}^{+}\) ion in \(\mathrm{CsCl}\) crystal is (a) 12 (b) 8 (c) 6 (d) 4

2 step solution

Problem 60

In calcium fluoride structure, the coordination numbers of calcium and fluoride ions are, respectively, (a) 8 and \(\overline{4}\) (b) 6 and 8 (c) 4 and \(\overline{4}\) (d) 4 and 8

3 step solution

Problem 62

A binary solid \(\left(\mathrm{A}^{+} \mathrm{B}^{-}\right)\) has a rock salt structure. If the edge length is \(400 \mathrm{pm}\) and radius of cation is \(75 \mathrm{pm}\), the radius of anion is (a) \(100 \mathrm{pm}\) (b) \(125 \mathrm{pm}\) (c) \(250 \mathrm{pm}\) (d) \(325 \mathrm{pm}\)

6 step solution

Problem 64

Sodium oxide has anti-fluorite structure. The percentage of the tetrahedral voids occupied by the sodium ions is (a) \(12 \%\) (b) \(25 \%\) (c) \(50 \%\) (d) \(100 \%\)

3 step solution

Problem 65

CsBr has been structure with edge length 4.3. The shortest inter ionic distance in between \(\mathrm{Cs}^{+}\) and \(\mathrm{Br}^{-}\) is (a) \(3.72\) (b) \(1.86\) (c) \(7.44\) (d) \(4.3\)

4 step solution

Problem 67

\(\mathrm{NaCl}\) crystal is (a) FCC (b) \(\mathrm{BCC}\) (c) HCP (d) simple Cubic

3 step solution

Problem 69

A solid contains \(\mathrm{A}^{\mathrm{n}}\) and \(\mathrm{B}^{\mathrm{m}-}\) ions. The structure of solid is \(\mathrm{FCC}\) for \(\mathrm{B}^{\mathrm{m}-}\) ions and \(\mathrm{A}^{\mathrm{n}+}\) ions are present in one-fourth of tetrahedral voids as well as in one fourth of octahedral voids. What is the simplest formula of solid? (a) \(\mathrm{A}_{3} \mathrm{~B}_{4}\) (b) \(\mathrm{A}_{4} \mathrm{~B}_{3}\) (c) \(\mathrm{AB}_{2}\) (d) \(\mathrm{A}_{2} \mathrm{~B}\)

7 step solution

Problem 71

In a compound, oxide ions are arranged in CCP arrangement. Cations A occupy onesixth of the tetrahedral voids and cations B occupy one-third of the octahedral voids. The formula of the compound is (a) \(\mathrm{AB}_{2} \mathrm{O}_{4}\) (b) \(\mathrm{ABO}_{3}\) (c) \(\mathrm{ABO}_{2}\) (d) \(\mathrm{ABO}_{4}\)

6 step solution

Problem 72

Sapphire is aluminium oxide. Aluminium oxide crystallizes with aluminium ions in two-third of the octahedral voids in the closest packed array of oxide ions. What is the formula of aluminium oxide? (a) \(\mathrm{Al}_{2} \mathrm{O}_{3}\) (b) \(\mathrm{AlO}_{2}\) (c) \(\mathrm{Al}_{3} \mathrm{O}_{4}\) (d) \(\mathrm{Al}_{3} \mathrm{O}_{2}\)

4 step solution

Problem 73

What is the formula of the magnetic oxide of cobalt, used in recording tapes, that crystallizes with cobalt atoms occupying one-eighth of the tetrahedral holes and one half of the octahedral holes in a closest packed array of oxide ions? (a) \(\mathrm{Co}_{2} \mathrm{O}_{3}\) (b) \(\mathrm{Co}_{5} \mathrm{O}_{s}\) (c) \(\mathrm{CoO}\) (d) \(\mathrm{Co}_{3} \mathrm{O}_{4}\)

4 step solution

Problem 76

Frenkel defect is noticed in (a) \(\mathrm{AgBr}\) (b) Zns (c) AgI (d) All

4 step solution

Problem 78

Schottky defect appears in (a) \(\mathrm{NaCl}\) (b) \(\mathrm{CsCl}\) (c) \(\mathrm{AgBr}\) (d) All

3 step solution

Problem 79

The yellow colour of \(\mathrm{ZnO}\) and conducting nature produced in heating is due to (a) Metal excess of defects due to interstitial cation (b) Extra positive ions present in an interstitial site (c) Trapped electrons (d) All

3 step solution

Problem 84

The intrinsic or thermodynamic defect is (a) Schottky defect (b) Metal excess defect due to excess cation (c) Metal excess defect due to anion vacancy (d) Metal-deficient defect

3 step solution

Problem 85

The only incorrect effect on density by the given defect in solids is (a) Density must decrease by vacancy defect. (b) Density must increase by interstitial defect. (c) Density must increase by impurity defect. (d) Density does not change by dislocation defect.

3 step solution

Problem 86

Which of the following is a ferromagnetic substance? (a) \(\mathrm{Fe}_{2} \mathrm{O}_{3}\) (b) \(\mathrm{Cr}_{2} \mathrm{O}_{3}\) (c) \(\mathrm{Fe}_{3} \mathrm{O}_{4}\) (d) \(\mathrm{CrO}_{2}\)

4 step solution

Problem 87

Which of the following acts as a superconductor at \(4 \mathrm{~K}\) ? (a) \(\mathrm{He}\) (b) \(\mathrm{Cu}\) (c) \(\mathrm{K}\) (d) \(\mathrm{Mg}\)

4 step solution

Problem 88

Superconductors are substances which (a) conduct electricity at low temperatures. (b) conduct electricity at high temperature. (c) offer very high resistance to the flow of current. (d) offer no resistance to the flow of current.

3 step solution

Problem 89

Addition of arsenic in small amount to pure germanium will result in the formation of (a) \(\mathrm{n}\) -type semiconductor (b) germanium arsenide (c) p-type semiconductor (d) a superconducting alloy

3 step solution

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