Caesium chloride crystallises as a body centred cubic lattice and has a density of 4.0 g cm^–3. Calculate the length of the edge of the unit cell of caesium chloride crystal.
[Molar Mass of CsCl = 168.5 g mol^–1, N_A = 6.02 x 10²³ mol^–1]

Solution

Solution;
we have given that

$Z = 1, ρ = 4 g {cm}^{- 3},$
$M = 168.5 {mol}^{- 1}, N_{A} = 6.02 \times 10^{23} {mol}^{- 1} ρ = \frac{Z \times M}{a^{3} \times N}$

or $a^{3} = \frac{Z \times M}{ρ \times N_{A}} = \frac{1 \times 168.5 g {mol}^{- 1}}{4 \times 6.02 \times 10^{23}} = \frac{168.5 \times 10^{- 23}}{24.08}$
$\log a^{3} = \log 168.5 + \log 10^{- 23} - \log 24.08 3 \log a = 2.2266 - 23.000 - 1.3816 3 \log a = - 22.1550 + 2 - 2 3 \log a = 24 + (2.1550) a = Antilog \bar{8} . 7183 = 5.228 \times 10^{- 8} cm = 5.228 \times 10^{- 8} \times 10^{10} pm = 522.8 pm .$

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.

For Daily Free Study Material Join wiredfaculty

The Solid State

Caesium chloride crystallises as a body centred cubic lattice and has a density of 4.0 g cm^–3. Calculate the length of the edge of the unit cell of caesium chloride crystal.
[Molar Mass of CsCl = 168.5 g mol^–1, N_A = 6.02 x 10²³ mol^–1]

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

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

The Solid State

Caesium chloride crystallises as a body centred cubic lattice and has a density of 4.0 g cm–3. Calculate the length of the edge of the unit cell of caesium chloride crystal. [Molar Mass of CsCl = 168.5 g mol–1, NA = 6.02 x 1023 mol–1]

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

Caesium chloride crystallises as a body centred cubic lattice and has a density of 4.0 g cm^–3. Calculate the length of the edge of the unit cell of caesium chloride crystal.
[Molar Mass of CsCl = 168.5 g mol^–1, N_A = 6.02 x 10²³ 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.