Modern Approach to Chemical Calculations>Chapter 20 - Solid and Liquid States>PROBLEMS>Q 15

MEDIUM

JEE Main

IMPORTANT

Earn 100

The unit cell of tungsten is a face-centred cube having a volume of $31.699 Å^{3}$ . The atom at the centre of each face just touches the atoms at the corners. Calculate the radius and atomic volume of tungsten.

Important Questions on Solid and Liquid States

MEDIUM

JEE Main

IMPORTANT

Modern Approach to Chemical Calculations>Chapter 20 - Solid and Liquid States>PROBLEMS>Q 16

Aluminum crystallizes in a face-centered cubic unit cell with a density of crystal

2.7 g / {cm}^{3}

and an edge length of

4.094 Å .

Calculate the approximate Avogadro constant in multiple of

10^{23}

MEDIUM

JEE Main

IMPORTANT

Modern Approach to Chemical Calculations>Chapter 20 - Solid and Liquid States>PROBLEMS>Q 17

An unknown metal is found to have a specific gravity of

10.2

at

25 ° C

. It is found to crystallize in a body-centred cubic lattice with a unit cell with an edge length of

3.147 Å

. Calculate the atomic weight.

MEDIUM

JEE Main

IMPORTANT

Modern Approach to Chemical Calculations>Chapter 20 - Solid and Liquid States>PROBLEMS>Q 18

Zinc selenide

(ZnSe) (144 amu)

crystallizes in a face-centred cubic unit cell and has a density of

5.267 g / cc .

Calculate the edge length of the unit cell.

MEDIUM

JEE Main

IMPORTANT

Modern Approach to Chemical Calculations>Chapter 20 - Solid and Liquid States>PROBLEMS>Q 20

Polonium crystallizes in a simple cubic unit cell. Its atomic mass is

209

and density is

91.5 {kgm}^{- 3}

. What is the edge length of its unit cell in nm?

MEDIUM

JEE Main

IMPORTANT

Modern Approach to Chemical Calculations>Chapter 20 - Solid and Liquid States>PROBLEMS>Q 21

A metallic element has a simple cubic lattice. Each edge of the unit cell is $3.0 Å .$ The density of the metal is $8.5 g / cc .$ How many unit cells will be present in $50 g$ of the metal?

(Give your answer in multiples of $10^{23}$ .)

EASY

JEE Main

IMPORTANT

Modern Approach to Chemical Calculations>Chapter 20 - Solid and Liquid States>PROBLEMS>Q 22

The

d_{111}

spacing for crystalline

K

is

0.3079 nm

. Calculate the edge length (in nm) of the cubic unit cell.

HARD

JEE Main

IMPORTANT

Modern Approach to Chemical Calculations>Chapter 20 - Solid and Liquid States>PROBLEMS>Q 23

Calculate the Miller indices of the crystal planes which cut through the crystal axes at

(a, b, c), (2 a, b, c)

and

(2 a, - 3 b, - 3 c)

.

HARD

JEE Main

IMPORTANT

Modern Approach to Chemical Calculations>Chapter 20 - Solid and Liquid States>PROBLEMS>Q 27

What is the critical radius ratio for the $CsCl$ structure? ( assuming perfect fit condition.)