Chapter 10.2, Problem 27SSC

Interpretation Introduction

Interpretation:

The quantity that can be obtained by dividing the molar mass of an element by Avogadro’s number needs to be interpreted.

Concept introduction:

Molar mass of any element is the sum of the masses of all the atoms present in one mole. Molar mass has the units grams/mole. One mole of any element contains Avogadro number of atoms i.e. $6\cdot 023\times {10}^{23}$ atoms. Therefore Avogadro number is represented as $6\cdot 023\times {10}^{23}$ atoms per mole.

Answer to Problem 27SSC

The mass of single atom can be obtained on dividing the molar mass by Avogadro's number.

Explanation of Solution

Molar mass is grams/mole Avogadro's number is atoms/mole.

On dividing molar mass of an element by the Avogadro’s number,

$\frac{\text{molar mass}}{\text{Avogadro's number}}=\frac{\text{grams/mole}}{\text{atoms/mole}}$

This gives us the quantity grams/atom. That means the mass of the single atom present in the elements is calculated.