The pyknometric density of sodium chloride crystal is 2.165×103 kg m–3 while its X-ray density is 2.178×103 kg m–3. The fraction of unoccupied sites in sodium chloride crystal is:
- 5.96
- 5.96×10–2
- 5.96×10–1
- 5.96×10–3
The Correct Option is D
Solution and Explanation
Fraction of unoccupied sites= \(\frac {X-ray\ density - Pyknometric \ density }{X-ray\ density}\)
Given the values:
Pyknometric density (ρp) = \(2.165×10^3\ kg/m^3\)
X-ray density (ρx) = \(2.178×10^3\ kg/m^3\)
Fraction of unoccupied sites= \(\frac {2.178×10^3\ kg/m^3−2.165×10^3\ kg/m^3}{2.178×10^3\ kg/m^3}\)
Fraction of unoccupied sites= \(\frac {13}{2.178×10^3}\)
Fraction of unoccupied sites= \(5.96×10^{−3}\)
So, the correct answer is (D): \(5.96×10^{−3}\)
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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.