Calculate the number of unit cells in 8.1 g of aluminium if it crystallizes in a
f.c.c. structure. (Atomic mass of Al = 27 g mol^–1)

Solution

Given
Mass of Al =8.1
Atomic mass of Al = 27 g mol-1
Number of atoms = Number of moles x 6.022 x10²³ $space equals fraction numerator 8.1 over denominator 27 end fraction space straight x space 6.022 space straight x space 10 to the power of 23 space equals space 0.3 space straight x 6.022 space straight x space 10 to the power of 23 space equals space 1.8066 space straight x space 10 to the power of 23$
As one fcc unit has 4 atoms
Hence number of unit cells having 1.8066 x10²³ atoms
$fraction numerator 1.8066 space straight x space 10 to the power of 23 over denominator 4 end fraction space equals space 4.51 space straight x 10 to the power of 22 space unit space cell$

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The Solid State

Calculate the number of unit cells in 8.1 g of aluminium if it crystallizes in a
f.c.c. structure. (Atomic mass of Al = 27 g mol^–1)

Some More Questions From The Solid State Chapter

Why are solids rigid?

Why do solids have a definite volume?

Classify the following as amorphous or crystalline solids: Polyurethane, naphthalene, benzoic acid, teflon, potassium nitrate, cellophane, polyvinyl chloride, fibre glass, copper.

Why is glass considred a super-cooled liquid?

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 clevage property?

Classify the following solids in different categories based on the nature of intermolecular forces operating in them:
Potassium sulphate, tin, benzene, urea, ammonia, water, zinc
sulphate, graphite, rubidium, argon, silicon carbide.

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?

Ionic solids conduct electricity in liquid state but not in solid state. Explain.

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

Give the significance of a 'lattice point'.

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For Daily Free Study Material Join wiredfaculty

The Solid State

Calculate the number of unit cells in 8.1 g of aluminium if it crystallizes in af.c.c. structure. (Atomic mass of Al = 27 g mol–1)

Some More Questions From The Solid State Chapter

Why are solids rigid?

Why do solids have a definite volume?

Classify the following as amorphous or crystalline solids: Polyurethane, naphthalene, benzoic acid, teflon, potassium nitrate, cellophane, polyvinyl chloride, fibre glass, copper.

Why is glass considred a super-cooled liquid?

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 clevage property?

Classify the following solids in different categories based on the nature of intermolecular forces operating in them: Potassium sulphate, tin, benzene, urea, ammonia, water, zinc sulphate, graphite, rubidium, argon, silicon carbide.

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?

Ionic solids conduct electricity in liquid state but not in solid state. Explain.

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

Give the significance of a 'lattice point'.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Calculate the number of unit cells in 8.1 g of aluminium if it crystallizes in a
f.c.c. structure. (Atomic mass of Al = 27 g mol^–1)

Classify the following solids in different categories based on the nature of intermolecular forces operating in them:
Potassium sulphate, tin, benzene, urea, ammonia, water, zinc
sulphate, graphite, rubidium, argon, silicon carbide.