Question:
How many lithium atoms are present in a unit cell with edge length $3.5$ $?$ and density $0.53\,g\,cm^{-3}$ ?
(Atomic mass of $Li = 6.94$)
How many lithium atoms are present in a unit cell with edge length $3.5$ $?$ and density $0.53\,g\,cm^{-3}$ ?
(Atomic mass of $Li = 6.94$)
Updated On: Jul 6, 2022
- $2$
- $1$
- $4$
- $6$
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The Correct Option is A
Solution and Explanation
$d=\frac{Z\times M}{N_{A}\times a^{3}}$
$Z=\frac{a^{3}\times d\times N_{A}}{M}$
$Z=\frac{\left(3.5\times10^{-8}\right)^{3}\times0.53\times6.023\times10^{23}}{6.94}$
$=1.97\approx2$
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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.