The nearest neighbour Ag atoms in the silver crystal are 2.87 x 10^–10 m apart. What is the density of silver? Silver crystallises in fcc form.

Solution

we have given :
mass of silver = 107.87 g
Z(FCC) = 4
distance between nearest neighbour Ag atoms = 2.87 x10^-10

$\frac{face diagonal}{2} = 2.87 x 10^{- 10} m \frac{\sqrt{2 a}}{2} = 2.87 x 10^{- 10} m a = 2.87 x 10^{- 10} x \sqrt{2} a = 2.87 x 10^{- 10} x 1.414 a = 4.05 x 10^{- 10} n o w u \sin g f o r m u l a d = \frac{Z x M}{a^{3} x N_{A}} d = \frac{4 x 107.87}{(4.05 x 10)^{3} x 6.02 x 10^{23}} d = 10.84 g c m^{- 3}$

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The Solid State

The nearest neighbour Ag atoms in the silver crystal are 2.87 x 10^–10 m apart. What is the density of silver? Silver crystallises in fcc form.

Some More Questions From The Solid State Chapter

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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For Daily Free Study Material Join wiredfaculty

The Solid State

The nearest neighbour Ag atoms in the silver crystal are 2.87 x 10–10 m apart. What is the density of silver? Silver crystallises in fcc form.

Some More Questions From The Solid State Chapter

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

The nearest neighbour Ag atoms in the silver crystal are 2.87 x 10^–10 m apart. What is the density of silver? Silver crystallises in fcc form.