Question:

A unit cell of sodium chloride has four formula units. The edge length of the unit cell is $0.0564\, nm$. What is the density of sodium chloride?

Updated On: Jul 27, 2022
  • $1.2\, g / cm ^{3}$
  • $2.165\, g / cm ^{3}$
  • $3.64 \,g / cm ^{3}$
  • $4.56\, g / cm ^{3}$
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The Correct Option is B

Solution and Explanation

Density$= \frac{nM}{N_{A}\times a^{3}}$ $=\frac{4\times58.5}{6.023\times10^{23}\times\left(5.64\times10^{-8}\right)^{3}}=2.17$ g/cm.
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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. 

Solid State

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.