Aluminium (atomic mass = $27$) crystallizes in a cubic system with edge length of $4 \, ?$. Its density is $2.7 \,g \,cm^{-3}$. The number of aluminium atoms present per unit cell is
- 5
- 6
- 4
- 2
The Correct Option is C
Solution and Explanation
$=4\, ?=4 \times 10^{-8} cm$
density $=2.7\, g\, cm ^{-3}$ and mass
$=27\, g / mol$
So, the number of aluminium atoms present per unit cell
$(Z) =\frac{d \times a^{3} \times N_{A}}{m}$
$=\frac{2.7 \times\left(4 \times 10^{-8}\right)^{3} \times 6.022 \times 10^{23}}{27}$
$=3.85 \simeq 4$
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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.