An element with density 11.2 g cm^-3 forms a f.c.c. lattice with edge length of 4 x10^-8

Calculate the atomic mass of the element. (Given: NA = 6.022x 10^-23 (mol^-1)

Solution

Density, d = 11.2 g cm^-3

Edge length, a = 4x10^-8cm

Avogadro number, NA = 6.022x10²³ mol^-1

Number of atoms present per unit cell, Z (fcc) = 4

We know for a crystal system,

$straight d equals space fraction numerator straight z space straight x space straight m over denominator straight a cubed space straight x space straight N subscript straight A end fraction straight m space equals fraction numerator straight d space straight x space straight a cubed space straight x space straight N subscript straight A over denominator straight Z end fraction We space get comma straight M space equals fraction numerator 11.2 space straight x space 64 space straight x space 10 to the power of negative 24 end exponent space straight x space 6.022 straight x space 10 to the power of 23 over denominator 4 end fraction equals space 107.91 space straight g$

Thus, the atomic mass of the element is 107.91 g.

Some More Questions From The Solid State Chapter

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.

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The Solid State

An element with density 11.2 g cm^-3 forms a f.c.c. lattice with edge length of 4 x10^-8

Calculate the atomic mass of the element. (Given: NA = 6.022x 10^-23 (mol^-1)

Some More Questions From The Solid State Chapter

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'.

Name the parameters that characterize a unit cell.

Distinguish between Hexagonal and monoclinic unit cells.

Distinguish between Face-centred and end-centred unit cells.

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NCERT Sample Papers

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The Solid State

An element with density 11.2 g cm-3 forms a f.c.c. lattice with edge length of 4 x10-8 Calculate the atomic mass of the element. (Given: NA = 6.022x 10-23 (mol-1)

Some More Questions From The Solid State Chapter

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'.

Name the parameters that characterize a unit cell.

Distinguish between Hexagonal and monoclinic unit cells.

Distinguish between Face-centred and end-centred unit cells.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

An element with density 11.2 g cm^-3 forms a f.c.c. lattice with edge length of 4 x10^-8

Calculate the atomic mass of the element. (Given: NA = 6.022x 10^-23 (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.