Chemistry

The Solid State

Question:

An excess of potassium ions makes KCl crystals appear violet or Lilac in colour since
(a) some of the anionic sites are occupied by an unpaired electron
(b) some of the anionic sites are occupied by a pair of electrons
(c) there are vacancies at some’anionic sites
(d) F-centres are created which impart colour to the crystals

Answer:

(a, d) .
When KC1 is heated in vapour of K, some of the Cl” leave their lattice site and create anion vacancies. This chloride ion wants to combine with K vapour to form potassium chloride. For doing so K atom loses electrons form K ions. This released electron diffuses into the crystal to get entrapped in the anion vacancy called F-centre. When visible light falls on the crystal, this entrapped electron gains energy, goes to the higher level when it comes back to the ground state, energy is released in the form of light.

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The Solid State

Q 1.

Explain how vacancies are introduced in an ionic solid when a cation of higher valence is added as an impurity in it.

Q 2.

 ‘Stability of a crystal is reflected in the magnitude of its melting points’. Comment. Collect melting points of solid water, ethyl alcohol, diethyl ether and methane from a data book. What can you say about the intermolecular forces between these molecules?

Q 3.

Why does white ZnO (s) become yellow upon heating?

Q 4.

Match the items given in Column I with the items given in Column II.
ncert-exemplar-problems-class-12-chemistry-solid-state-43

Q 5.

Gold (atomic radius = 0.144 nm) crystallises in a face centred unit cell. What is the length of the side of the unit cell ?

Q 6.

The total number of tetrahedral voids in the face centered unit cell is
(a) 6 (c) 10
(b) 8 (d) 12

Q 7.

Which of the following represents correct order of conductivity in solids?
ncert-exemplar-problems-class-12-chemistry-solid-state-22

Q 8.

A group 14 element is to be converted into n-type semiconductor by doping it with a suitable impurity. To which group should this impurity belong?

Q 9.

A compound forms hexagonal close-packed. structure. What is the total number of voids in  0. 5 mol of it? How many of these are tetrahedral voids?

Q 10.

Explain how many portions of an atom located at
(i)corner and (ii)body centre of a cubic unit cell is part of its neighbouring unit cell.

Q 11.

Explain the following terms with suitable examples :

  1. Schottky defect
  2. Frenkel defect
  3. Interstitial defect
  4. F-centres.

Q 12.

The number of tetrahedral voids per unit cell in NaCl crystal is
(c) twice the number of octahedral voids
(d) four times the number of octahedral voids

Q 13.

What type of solids are electrical conductors, malleable and ductile?

Q 14.

Niobium crystallises in a body centred cubic structure. If density is 8.55 g cm-3, calculate atomic radius of niobium, using its atomic mass 93u.

Q 15.

In which of the following structure coordination number for cations and anions in the packed structure will be same?
(a) Cl ions form fee lattice and Na+ ions occupy all octahedral voids of the unit cell.
(b) Ca2+ ions form fee lattice and F- ions occupy all the eight tetrahedral voids of the unit cell
(c) O2- ions form fee lattice and Na+ ions occupy all the eight tetrahedral voids of the unit cell
(d) S2- ions form fee lattice and Zn2+ ions go into alternate tetrahedral voids of the unit cell.

Q 16.

Why are solids incompressible?

Q 17.

 Ionic solids, which have anionic vacancies due to metal excess defect, develop colour. Explain with the help of a suitable example.

Q 18.

 Define the term ‘amorphous’. Give a few examples of amorphous solids.

Q 19.

In terms of band theory, what is the difference

  1. between a conductor and an insulator
  2. between a conductor and a semiconductor?

Q 20.

Why is glass considered a supercooled liquid?

Q 21.

(i) What is meant by the term coordination number’?
(ii) What is the coordination number of atom
(a) in a cubic close-packed structure?
(b) in a body centred cubic structure?

Q 22.

If the radius of the octahedral void is r and radius of the atoms in close-packing is R, derive relation between rand R.

Q 23.

Copper crystallises into a fee lattice with edge length 3.61 x 10-8 cm. Show that the calculated density is in agreement with its measured value of 8.92 gcm-3.

Q 24.

Which of the following is not the characteristic of ionic solids?
(a) Very low value of electrical conductivity in the molten state
(b) Brittle nature
(c) Very strong forces of interactions
(d) Anisotropic nature

Q 25.

In which of the following arrangements octahedral voids are formed?
(a) hep (b) bcc (c) simple cubic (d) fee

Q 26.

Why does the electrical conductivity of semiconductors increase with rise in temperature?

Q 27.

What is the two-dimensional coordination number of a molecule in a square close-packed layer?

Q 28.

What type of defect can arise when a solid is heated? Which physical property is affected by it and in what way?

Q 29.

Explain how vacancies are introduced in an ionic solid when a cation of higher valence is added as an impurity in it.

Q 30.

Classify each of the following solids as ionic, metallic, modular, network (covalent), or amorphous:
(i) Tetra phosphorus decoxide (P4O10) (ii) Ammonium phosphate, (NH4)3PO4 (iii) SiC (iv) I2 (v) P(vii) Graphite (viii), Brass (ix) Rb (x) LiBr (xi) Si

Q 31.

 (i) What is meant by the term ‘coordination number’?
(ii) What is the coordination number of atom
(a) in a cubic close-packed structure?
(b) in a body centred cubic structure?

Q 32.

Silver crystallises in fcc lattice. If edge length of the cell is 4.07 x 10-8 cm and density is 10.5 g cm-3, calculate the atomic mass of silver.

Q 33.

Copper crystallises into a fee lattice with edge length 3.61 x 10-8 cm. Show that the calculated density is in agreement with its measured value of 8.92 gcm-3.

Q 34.

What are semi-conductors? Describe the two main types of semiconductors and contrast their conduction mechanisms.

Q 35.

Which of the following lattices has the highest packing efficiency (i) simple cubic (ii) body- centred cubic and (iii) hexagonal close-packed lattice?

Q 36.

What makes a glass different from a solid such as quartz? Under what conditions could quartz be converted into glass?

Q 37.

How can you determine the atomic mass of an unknown metal if you know its density and the dimensions of its unit cell? Explain.

Q 38.

How many lattice points are there is one unit cell of each of the following lattices?
(i) Face centred cubic (if) Face centred tetragonal (iii) Body centred cubic

Q 39.

A cubic solid is made up of two elements P and Q. Atoms of Q are at the corners of the cube and P at the body centre. What is the formula of the compound? What are the coordination numbers of P and Q?

Q 40.

Under the influence of electric field, which of the following statements are true about the movement of electrons and holes in a p-type semiconductor?
(a) Electron will move towards the positively charged plate through electron holes
(b) Holes will appear to be moving towards the negatively charged plate
(c) Both electrons and holes appear to move towards the positively charged plate
(d) Movement of electrons is not related to the movement of holes

Q 41.

Why does table salt, NaCl sometimes appear yellow in colour?

Q 42.

Under which situations can an amorphous substance change to crystalline form?

Q 43.

Assertion (A): Semiconductors are solids with conductivities in the intermediate range from
ncert-exemplar-problems-class-12-chemistry-solid-state-51
Reason (R): Intermediate, conductivity in semiconductor is due to partially filled valence band.

Q 44.

 Wh ich of the following lattices has the highest packing efficiency (i) simple cubic (ii) body-centered cubic and (iii) hexagonal close-packed lattice?

Q 45.

Ionic solids, which have anionic vacancies due to metal excess defect, develop colour. Explain with the help of a suitable example.

Q 46.

 What makes glass different from a solid such as quartz? Under what conditions could quartz be converted into glass?

Q 47.

 How many lattice points are there is one unit cell of each of the following lattices?
(i) Face centred cubic (if) Face centred tetragonal (iii) Body centred cubic

Q 48.

A cubic solid is made of two elements P and Q. Atoms Q are at the corners of the cube and P at the body centre. What is the formula of the compound ? What is the co-ordination number of P and Q?

Q 49.

Non-stoichiometric cuprous oxide, Cu2O can be prepared in laboratory. In this oxide, copper to oxygen ratio is slightly less than 2:1. Can you account for the fact that this substance is a p-type semiconductor?

Q 50.

Classify each of the following as being either a p-type or n-type semiconductor :

  1. Ge doped with In
  2. B doped with Si.