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Total volume of atoms present in a fcc unit cell of a metal with radius r is

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Important Questions on Solid State

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

A cubic solid is made of two elements

P

and

Q

. Atom of

Q

are at the corners of the cube and

P

at the body centre. What is the formula of the compound? What are the coordination numbers of

P

and

Q

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

The percentage of unoccupied volume in simple cubic cell is

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

The correct order of the packing efficiency in different types of unit cells is

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of

4.29 Å

. The radius of sodium atom is approximately:

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

A given metal crystallises out with a cubic structure having edge length of

361 pm

. If there are four metal atoms in one unit cell, what is the radius of one atom?

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

A diatomic molecule

X_{2}

has a body-centred cubic

(bcc)

structure with a cell edge of

300 pm .

The density of the molecule is

6.17 {gcm}^{- 3} .

The number of molecules present in

200 g

X_{2}

is :
(Avogadro constant

(N_{A}) = 6 \times 10^{23} {mol}^{- 1}

)

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

The number of atoms in

2.4 g

of body centred cubic crystal with edge length

200 pm

is (density

= 10 g {cm}^{- 3}, N_{A} = 6 \times 10^{23} atoms {mol}^{- 1}

)

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

In a face-centered cubic arrangement of

A

and

B

atoms, where

A

atoms are at the corners of the unit cell and

B

atoms are at the face center, two

A

atoms are missing. The simplest formula for this compound is ________

EASY

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

A metal crystallizes in a face centred cubic structure. If the edge length of its unit cell is

' a'

, the closest approach between two atoms in the metallic crystal will be

HARD

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

Consider the bcc unit cells of the solids $1$ and $2$ with the position of atoms as shown below. The radius of atom $B$ is twice that of atom $A .$ The unit cell edge length is $50 %$ more in solid $2$ than in $1$ . What is the approximate packing efficiency in solid $2$ ?

Question Image

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

An element has a body centered cubic (bcc) structure with a cell edge of

288 pm

. The atomic radius is

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

100^{o} C,

copper

(C u)

has

F C C

unit cell structure with cell edge length of

x Å

. What is the approximate density of

C u

(in

g c m^{- 3}

) at this temperature?

[A t o m i c M a s s o f C u = 63.55 u]

HARD

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

The cubic unit cell structure of a compound containing cation $M$ and anion $X$ is shown below. When compared to the anion, the cation has smaller ionic radius. Choose the correct statement(s).

Question Image

HARD

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

An element with molar mass

2 .7 \times 10^{- 2} kg {mol}^{- 1}

forms a cubic unit cell with edge length

405 pm .

If its density is

2.7 \times 10^{3} kg m^{- 3}

, the radius of the element is approximately

\dots \dots \dots . \times 10^{- 12} m

(to the nearest integer)

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

A metallic element has a cubic lattice. Each edge of the unit cell is

2 \dot{A}

and the density of metal is

25 g {cm}^{3}

. The unit cell in

200 g

of metal are

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

The density of a solid

X

1.5 g / {cm}^{3}

250^{o} C

. If the atoms are assumed sphere of radius

2.0 A

, the percentage of solid having empty space is
(Given atomic weight of

X = 60 g {mol}^{- 1})

MEDIUM

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

A metal crystallises in face centred cubic structure with metallic radius

\sqrt{2} A °

. The volume of the unit cell (in

m^{3}

) is

EASY

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

a

the length of the side of a cube, the distance between the body centered atom one corner atom in the cube will be

EASY

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

The vacant space in bcc lattice unit cell is:

HARD

Chemistry>Physical Chemistry>Solid State>Density of Unit Cells

Lithium has a bcc structure. Its density is

530 k g m^{- 3}

and its atomic mass is

6.94 g m o l^{- 1}

. Calculated the edge length of a unit cell of Lithium metal.

(N_{A} = 6.02 \times 10^{23} m o l^{- 1})

Total volume of atoms present in a fcc unit cell of a metal with radius r is

Important Questions on Solid State

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