Chapter 10, Problem 103A

Interpretation Introduction

Interpretation:

Whether a mole of silver atoms or a mole of gold atoms contains more atoms should be determined with explanation.

Concept introduction:

Number of moles of a compound is defined as the ratio of given mass of the compound to the molar or molecular mass of the compound.

The mathematical expression is given by:

Number of moles = $\frac{\text{given mass of the compound}}{\text{molar mass of the compound}}$

The one mole of any substance is equal to the Avogadro number i.e. $6.022\times {10}^{23}$ atoms.

Answer to Problem 103A

Number of both gold atoms and silver atoms is same as the number of moles of both atoms is same.

Explanation of Solution

Since, one mole of any substance is equal to the Avogadro number i.e. $6.022\times {10}^{23}$ atoms.

Number of moles of silver atoms = 1 mole

Number of moles of gold atoms = 1 mole

Number of molecules = $\text{number of moles ×}\frac{6.022\times 10\text{molecules}}{1\text{ mole}}$

Thus, number of silver atoms present in one mole

= $1\text{ mole}\times \frac{6.022\times 10\text{atoms}}{1\text{ mole}}$

$=6.022\times 10\text{atoms}$

Number of gold atoms present in one mole

= $1\text{ mole}\times \frac{6.022\times 10\text{atoms}}{1\text{ mole}}$

$=6.022\times 10\text{atoms}$

Therefore, number of both gold atoms and silver atoms is same as number of moles of both atoms is same.