Chapter 10, Problem 126A

Interpretation Introduction

Interpretation:

The 3 conversion factors used in the molar conversions needs to be determined.

Concept introduction:

The mole concept provides the relation between moles, mass and 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 126A

$\begin{array}{l}\text{Mass (g)×}\frac{\text{1}}{\text{molar mass (g/mol)}}\text{= moles }\\ \text{Moles ×6}{\text{.022 × 10}}^{\text{23}}\text{atoms/particles/molecules= Atoms (Molecule)}\\ \text{Mass (g)×}\frac{\text{1}}{\text{molar mass (g/mol)}}\times \text{6}{\text{.022 × 10}}^{\text{23}}\text{= Atoms (Molecule)}\end{array}$

Explanation of Solution

The mathematical expression of mole concept can be written as:

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

Thus the conversion factors are:

$\begin{array}{l}\text{Mass (g)×}\frac{\text{1}}{\text{molar mass (g/mol)}}\text{= moles }\\ \text{Moles ×6}{\text{.022 × 10}}^{\text{23}}\text{atoms/particles/molecules= Atoms (Molecule)}\\ \text{Mass (g)×}\frac{\text{1}}{\text{molar mass (g/mol)}}\times \text{6}{\text{.022 × 10}}^{\text{23}}\text{= Atoms (Molecule)}\end{array}$

Conclusion

Mass, moles and molar mass are related with each other.