The compound CuCl has the ZnS (Cubic) structure. Its density is 3.04 g cm^–3. What is the length of the edge of unit cell? (At. mass of Cu = 63.5, CI = 35.5)

Solution

Formula mass of CuCl =63.5 +35.5

= 99.0

The number of formula units per cell of ZnS is 4. It has face centred cubic structure.

$w e h a v e Z = 4 d e n s i t y (d) = 3.4 g C m^{- 3} N_{0} (A v o g a d r o' s n u m b e r) = 6.023 x 10^{23} M a s s = 99.0 g r a m T h e r e f o r e u \sin g f o r m u l a d e n s i t y = \frac{M a s s x Z}{u n i t c e l l v o l u m e (C m)^{3} x N_{a v o d . n o .}} d = \frac{M x Z}{a^{3} x N_{0}} a^{3} = \frac{99 x 4}{3.4 x 6.023 x 10^{23}} a^{3} = 1.932 x 10^{- 22} c m^{3} u n i t c e l l l e n g t h a = (1.932 x 10^{- 22})^{\frac{1}{3}} t a k i n i g \log b o t h s i d e \log a = \frac{1}{3} \log 1.932 x 10^{- 22} = \frac{1}{3} (0.2860 - 22) = \frac{1}{3} (- 21.7140) = - 7.238 = 0.762 x 10^{- 8} t a k i n g a n t i \log a = a n t i \log 0.762 x 10^{- 8} = 5.758 x 10^{- 8} c m = 5.758 x 10^{- 8} c m$

Some More Questions From The Solid State Chapter

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.

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The Solid State

The compound CuCl has the ZnS (Cubic) structure. Its density is 3.04 g cm^–3. What is the length of the edge of unit cell? (At. mass of Cu = 63.5, CI = 35.5)

Some More Questions From The Solid State Chapter

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'.

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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The Solid State

The compound CuCl has the ZnS (Cubic) structure. Its density is 3.04 g cm–3. What is the length of the edge of unit cell? (At. mass of Cu = 63.5, CI = 35.5)

Some More Questions From The Solid State Chapter

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'.

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

The compound CuCl has the ZnS (Cubic) structure. Its density is 3.04 g cm^–3. What is the length of the edge of unit cell? (At. mass of Cu = 63.5, CI = 35.5)

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.