Chapter 10.3, Problem 49SSC

Interpretation Introduction

Interpretation:

The calculation of number of atoms or ions in given mass of compound needs to be determined.

Concept introduction:

In 1 mol of any substance, there are $6.022\times {10}^{23}$ units of that substance. These units can be atoms and molecules. The number of units in 1 mol of any substance is known as Avogadro’s number. It is denoted by symbol N_A.

Explanation of Solution

If the mass of a compound is given, the number of moles can be determined using the molar mass.

Molar mass is mass of compound in 1 mol so if it is known, the mass in any number of moles can be determined.

This is mathematically represented as follows:

$n=\frac{m}{M}$

Here, m is mass and M is molar mass.

Now, if number of moles of compound is known, number of moles of atoms or ions in the compound can be calculated using the molecular formula of the compound. Finally, from number of moles of atom or ion, number of atoms or ions can be calculated using the Avogadro’s number.

This is mathematically represented as follows:

$N=n{N}_A$

Here, $N_A$ is equal to $6.022\times {10}^{23}$