Chapter SM, Problem 25PQ

Interpretation Introduction

Interpretation:

The approximate molar mass of $\text{Y}$ has to be determined.

Concept Introduction:

The smallest building block of crystal lattice is called a unit cell. Its repetition results in formation of a three-dimensional network of crystal lattice. The three types of cells present in one cubic crystal system are as follows:.

1. Simple cubic unit cell

2. Face-centered cubic unit cell

3. Body-centered cubic unit cell

The formula to calculate density of crystal is as follows:

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

Here,

  $d$ is density of crystal.

  $Z$ is number of atoms in the crystal.

  $M$ is mass of the crystal.

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

  $a$ is edge length of crystal.