Chapter 8.1, Problem 8SSC

Interpretation Introduction

Interpretation:

Relationship between Avogadro's number and $1$ mole needs to be explained.

Concept introduction:

Avogadro's number defined as the number of particles (molecules, atoms, compounds etc.) per mole of any substance.

Avogadro's number $=6\cdot 023\times {10}^{23}{\text{ mol}}^{-1}$

Answer to Problem 8SSC

A mole of any substance contains particles (atoms, molecules etc.) as the number of atoms in $12\text{g}$ of the isotope of $C-12$

$NA=6\cdot 023\times {10}^{23}\text{ particles/mol}$

(Avogadro's number)

Explanation of Solution

The number of moles is related to mass and molar mass as follows:

$\text{Number of moles =}\frac{\text{Mass of substance}}{\text{Molar mass}}$

Where molar mass is the mass of a mole of substance. It is used to convert grams of a substance to moles. Element's atomic weight $\left(\text{g/mol gram/ mol}\right)$ is there in periodic table.

$\text{Number of moles =}\frac{\text{Number of particles}}{\text{Avogadro's number}}=\frac{\text{N}}{{\text{N}}_0}$

$\text{1}$ mole of atoms has $6\cdot 023\times {10}^{23}\text{ atoms}$.