Chapter 3, Problem 3H.16E

(a)

Interpretation Introduction

Interpretation:

Density of solid krypton has to be determined.

Concept Introduction:

Density of unit cell is as follows:

  $d=\frac{ZM}{a^3{N}_{\text{A}}}$        (1)

Here,

$Z$ is atoms in unit cell.

$M$ is molar mass.

$a$ is edge length of unit cell.

$N_{\text{A}}$ is Avogadro number.

(b)

Interpretation Introduction

Interpretation:

Atomic radius of krypton has to be determined.

Concept Introduction:

Relation between radius and edge length for fcc structure is as follows:

  $r=\frac{\sqrt{2}a}{4}$        (2)

(c)

Interpretation Introduction

Interpretation:

Volume of one krypton atom has to be determined.

Concept Introduction:

Relation of one atom is as follows:

  $V=\frac{4}{3}\text{π}{r}^3$        (3)

(d)

Interpretation Introduction

Interpretation:

Percentage of empty space of unit cell has to be determined.

Concept Introduction:

Relation to calculate empty space is as follows:

  $\text{Empty space}\left(\%\right)=\frac{\left(\begin{array}{l}\text{Total volume}\\ \text{of unit cell}\end{array}\right)-\left(\begin{array}{l}\text{Total volume}\\ \text{of atoms in unit cell}\end{array}\right)}{\text{Total volume of unit cell}}\times 100$        (4)