Question:
Cells present in a cube-shaped ideal crystal of NaCl of mass 1.00 g ?
[Atomic masses : Na = 23, Cl = 35.5]
Cells present in a cube-shaped ideal crystal of NaCl of mass 1.00 g ?
[Atomic masses : Na = 23, Cl = 35.5]
Updated On: Jul 6, 2022
- $5.14 \times 10^{21}$ unit cells
- $1.28 \times 10^{21}$ unit cells
- $1.71 \times 10^{21}$ unit cells
- $2.57 \times 10^{21}$ unit cells
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The Correct Option is D
Solution and Explanation
Mass of one unit-cell (m) = volume $\times$ density
$=a^{3} \times d $
$=a^{3} \times \frac{M z}{N_{0} a^{3}}=\frac{M z}{N_{0}} $
$ m =\frac{58.5 \times 4}{6.02 \times 10^{23}} g $
$\therefore$ Number of unit cells in $1 g =\frac{1}{m}$
$=\frac{6.02 \times 10^{23}}{58.5 \times 4}$
$=2.57 \times 10^{21}$
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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.