Chapter 10, Problem 107A

Interpretation Introduction

Interpretation:

The number of particles and mass of one mole of both iron and zinc should be compared.

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 107A

Number of particles of iron and zinc is same as the number of moles is same.

Mass of one mole of iron is 56 g.

Mass of one mole of zinc is 65.38 g.

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 iron = 1 mole

Number of moles of zinc = 1 mole

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

Thus, number of iron particles 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 zinc 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 zinc atoms and iron atoms is same as number of moles of both atoms is same.

The mathematical expression of number of moles is given by:

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

Now, molar mass of zinc = 65.38 g/mole

Molar mass of iron = 56 g/mole

Thus,

Mass of one mole of zinc = 65.38 g

Mass of one mole of iron = 56 g