Chapter 10, Problem 89A

Interpretation Introduction

Interpretation: A flowchart needs to be designed which can be used to convert particles to moles or moles to particles.

Concept introduction: The number of moles is related to Avogadro’s number and number of particles as follows:

  $N=n\times {\text{N}}_{\text{A}}$

Here, ${\text{N}}_{\text{A}}$ is Avogadro’s number with value $6.022\times {10}^{23}$ .

Answer to Problem 89A

  

Explanation of Solution

1 mol of any substance has $6.022\times {10}^{23}$ units. These units are also known as representative particles. For an element, these represented particles are atoms and for compounds these are molecules.

To start a flow chart, number of moles can be considered known.

Let the number of moles of a substance is n mol.

Now, for all the substances 1 mol contains $6.022\times {10}^{23}$ representative particles.

Thus, number of moles can be written in terms of number of particles as follows:

  $n=\frac{N}{{\text{N}}_{\text{A}}}$

Here, ${\text{N}}_{\text{A}}$ is Avogadro’s number with value $6.022\times {10}^{23}$ .

Thus, the conversion factor that can be used to convert number of moles to number of particles is as follows:

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

Similarly, the conversion factor that can be used to convert number of particles to number of moles is as follows:

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