Chapter 10, Problem 144A

Interpretation Introduction

Interpretation:

The number of moles of ions that can recover 100.0 kg of ${\text{Fe}}_{\text{3}}{\text{O}}_{\text{4}}$ needs to be determined.

Concept introduction:

The mole concept provides the relation between moles, mass and molar mass. The mathematical expression of mole concept can be written as:

$\text{Mole =}\frac{\text{Mass}}{\text{Molar mass}}$

1 mole of any substance contains $\text{6}\text{.022 }\times {\text{ 10}}^{\text{23}}$ number of particles or atoms or molecules.

Answer to Problem 144A

Moles of ${\text{Fe}}_{\text{3}}{\text{O}}_{\text{4}}$ = 432 moles

Explanation of Solution

Given information:

Mass of ${\text{Fe}}_{\text{3}}{\text{O}}_{\text{4}}$ = 100.0 kg

Mass of ${\text{Fe}}_{\text{3}}{\text{O}}_{\text{4}}$ = 100.0 kg = 10⁵ g

Molar mass of ${\text{Fe}}_{\text{3}}{\text{O}}_{\text{4}}$ = 231.5 g/mol

Calculate moles of ${\text{Fe}}_{\text{3}}{\text{O}}_{\text{4}}$ :

${\text{10}}^{\text{5}}\text{g ×}\frac{\text{1 mole}}{\text{231}\text{.5 g}}\text{= 432 moles}$

Conclusion

The moles of substance can be calculate with the help of molar mass and given mass.