Question:
Gold crystallizes in the face-centred cubic lattice. The number of unit cells in 1 g of gold (atomic mass = 197 u) will be
Gold crystallizes in the face-centred cubic lattice. The number of unit cells in 1 g of gold (atomic mass = 197 u) will be
Updated On: Jul 6, 2022
- $6.02 \times 10^{23}$
- $7.64 \times 10^{20}$
- $3.82 \times 10^{20}$
- $15.28 \times 10^{20}$
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The Correct Option is B
Solution and Explanation
1 Mole of gold $= 197 \, g = 6.02 \times 10^{23}$ atoms
$\therefore$ 1 g gold $ = \frac{6.02 \times 10^{23}}{197}$ atoms
As fee contains 4 atoms per unit cell, therefore, number of unit cells $ = \frac{6.02 \times 10^{23}}{197 \times 4}$
$ = 7.64 \times 10^{20}$
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Concepts Used:
Solid State
Solids are substances that are featured by a definite shape, volume, and high density. In the solid-state, the composed particles are arranged in several manners. Solid-state, in simple terms, means "no moving parts." Thus solid-state electronic devices are the ones inclusive of solid components that don’t change their position. Solid is a state of matter where the composed particles are arranged close to each other. The composed particles can be either atoms, molecules, or ions.
Types of Solids:
Based on the nature of the order that is present in the arrangement of their constituent particles solids can be divided into two types;
- Amorphous solids behave the same as super cool liquids due to the arrangement of constituent particles in short-range order. They are isotropic and have a broad melting point (range is about greater than 5°C).
- Crystalline solids have a fixed shape and the constituent particles are arranged in a long-range order.