Chemistry

The Solid State

Question:

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?

Answer:

The ratio less than 2 : 1 in Cu20 shows cuprous (Cu+) ions have been replaced by cupric (Cu2+) ions. For maintaining electrical neutrality, every two Cu+ ions will be replaced by one Cu2+ ion thereby creating a hole. As conduction will be due to the presence of these positive holes, hence it is a p-type semiconductor.

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The Solid State

Q 1.

Explain why does conductivity of germanium crystals increase on doping with gallium?

Q 2.

If NaCI is doped with 10-3 mol % SrCl2, what is the concentration of cation vacancies?

Q 3.

What is the coordination number in a square close packed structure in two dimensions?  (a) 2 (b) 3 (c) 4 (d) 6

Q 4.

 (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 5.

Give the significance of a ˜lattice point'.

Q 6.

Distinguish between
(i) Hexagonal and monoclinic unit cells
(ii) Face-centred and end-centred unit cells.

Q 7.

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 8.

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

Q 9.

Refractive index of a solid is observed to have the same value along all directions. Comment on the nature of this solid. Would it show cleavage property?

Q 10.

In which pair most efficient packing is present?
(a) hep and bcc (b) hep and ccp
(c) bcc and ccp (d) bcc and simple cubic cell

Q 11.

In spite of long range order in the arrangement of particles why are the crystals usually not perfect?

Q 12.

How does the doping increase the conductivity of semiconductors?

Q 13.

What types of stoichiometric defects are shown by (C.B.S.E. Delhi 2013)
(i) ZnS
(ii) AgBr?

Q 14.

Explain the following with suitable example:

  1. Ferromagnetism
  2. Paramagnetism
  3. Ferrimagnetism
  4. Antiferromagnetism
  5. 12-16 and 13-15 group compounds.

Q 15.

Why are solids rigid?

Q 16.

Frenkel defect is also known as
(a) stoichiometric defect (b) dislocation defect
(c) impurity defect (d) non-stoichiometric defect

Q 17.

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

Q 18.

 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 19.

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 20.

(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 21.

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 22.

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 23.

Which of the following statement is not true about the hexagonal close packing?
(a) The coordination number is 12
(b) It has 74% packing efficiency
(c) Tetrahedral voids of the second layer are covered by the spheres of the third layer
(d) In this arrangement, spheres of the fourth layer are exactly aligned with those of the first layer.

Q 24.

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

Q 25.

Which of the following features are not shown by quartz glass?
(a) This is a crystalline solid
(b) Refractive index is same in all the directions
(c) This has definite heat of fusion
(d) This is also called super cooled liquid

Q 26.

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

Q 27.

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 28.

Ferric oxide crystallises in a hexagonal dose- packed array of oxide ions with two out of every three octahedral holes occupied by ferric ions. Derive the formula of the ferric oxide.

Q 29.

Aluminium crystallises in a cubic close packed structure. Its metallic radius is 125 pm.

  1. What is the length of the side of the unit cell?
  2. How many unit cells are there in 1.00 cm3 of aluminium?

Q 30.

Why do solids have a definite volume?

Q 31.

Solid A is a very hard electrical insulator in. solid as well as in molten state and melts at  extremely high temperature. What type of solid is it?

Q 32.

What type of stoichiometric defect is shown by:
(i)ZnS (ii)AgBr

Q 33.

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

Q 34.

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

Q 35.

 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 36.

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 37.

Classify the following as amorphous or crystalline solids: Polyurethane, naphthalene, benzoic acid, Teflon, potassium nitrate, cellophane, polyvinyl chloride, fibreglass, copper

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.

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

Q 40.

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 41.

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

Q 42.

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 43.

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

Q 44.

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 45.

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 46.

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

Q 47.

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

Q 48.

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 49.

Explain:
(i) The basis of similarities and differences between metallic and ionic crystals.
(ii) Ionic solids are hard and brittle.

Q 50.

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.