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Chapter 12: Q12.141CP (page 499)

The crystal structure of sodium is based on the body-centered cubic unit cell. What is the mass of one unit cell of Na?

Short Answer

Expert verified

Mass of one unit cell of Na is $46 g / mol$ .

Step by step solution

01

Definition of crystal structure

In a crystal, the constituent particles form a structure by repeating a symmetric pattern along three dimensions. This symmetric structure of the particles in a crystal is named as crystal structure.

02

Calculation of mass of one unit cell

$\begin{array}{rcl} Mass of a unit cell & = & Number of ions in the unit cell \\ \times mass of an atom in the unit cell Number of ions in body \\ - centered cubic unit cell \\ = & (\frac{1}{8} \times 8) + 1 \\ = & 2 \end{array}$

Mass of one Na atom $= 23 g / mol$ .

Therefore, the mass of the unit cell of Nais $2 \times 23 g / mol = 46 g / mol$ .

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