An element crystallises in fcc structure with an edge of 200 pm. Calculate density if 200 g of this element contains 24 x 10²³ atoms.

Solution

we have
edge length =200Pm
volume of the unit = ( 200 x10^-10 cm)³
= 8 x10^-24 cm^-3

$In a FCC unit cell there are four atoms per unit cell . therefore mass of unit cell = \frac{200 x 4}{24 x 10^{23}} = 33.3 x 10^{- 23} g Density = \frac{mass of unit cell}{volume of unit cell} = \frac{33.3 x 10^{- 23} g}{8 x 10^{- 24} {cm}^{3}} = 41.6 g {cm}^{- 3}$

density = 41.6 g cm^-3.

Some More Questions From The Solid State Chapter

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 crystallises in fcc structure with an edge of 200 pm. Calculate density if 200 g of this element contains 24 x 10²³ atoms.

Some More Questions From The Solid State Chapter

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.

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

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The Solid State

An element crystallises in fcc structure with an edge of 200 pm. Calculate density if 200 g of this element contains 24 x 1023 atoms.

Some More Questions From The Solid State Chapter

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.

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

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

An element crystallises in fcc structure with an edge of 200 pm. Calculate density if 200 g of this element contains 24 x 10²³ atoms.

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.