Chapter 10.1, Problem 9SSC

Interpretation Introduction

Interpretation:

The conversion factor used to convert between particles and moles needs to be explained.

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

There are $6.022\times {10}^{23}$ units in 1 mol of a substance. The representative particles depend on the type of the substance. For example, for a compound, the representative particles are molecules and it is atoms in the case of elements.

Thus, the conversion factor will be:

$\frac{6.022\times {10}^{23}\text{ particles}}{1\text{ mol}}\text{ or }\frac{1\text{ mol}}{6.022\times {10}^{23}\text{ particles}}$

Conclusion

Thus, the conversion factor that is used to convert between particles and moles is as follows:

$\frac{6.022\times {10}^{23}\text{ particles}}{1\text{ mol}}\text{ or }\frac{1\text{ mol}}{6.022\times {10}^{23}\text{ particles}}$