Chapter 10, Problem 114A

Interpretation Introduction

Interpretation:

The increasing order of moles of given atoms and mass needs to be determined.

• Kr = 65.96 g
• Ar = 4.25 moles
• Xe = $2.69\times {\text{ 10}}^{\text{24}}$ atoms
• Ne = $3.00\times {\text{ 10}}^{\text{24}}$ atoms

Concept introduction:

The mole concept provides the relation between moles, mass and molar mass. The mathematical expression of mole concept can be written as:

$\text{Mole =}\frac{\text{Mass}}{\text{Molar mass}}$

1 mole of any substance contains $\text{6}\text{.022 }\times {\text{ 10}}^{\text{23}}$ number of particles or atoms or molecules.

Answer to Problem 114A

The increasing order of moles of gases must be $\text{Kr < Ar < Xe < Ne}$

Explanation of Solution

Given information:

Ne atoms = $3.00\times {\text{ 10}}^{\text{24}}$ atoms

Ar moles = 4.25 moles

Xe atoms = $2.69\times {\text{ 10}}^{\text{24}}$ atoms

Mass of Kr = 65.96 g

• Ne atoms = $3.00\times {\text{ 10}}^{\text{24}}$atoms
• Ar moles = 4.25 moles
• Xe atoms = $2.69\times {\text{ 10}}^{\text{24}}$atoms
• Mass of Kr = 65.96 g

Calculate moles of each:

$\begin{array}{l}\text{3}{\text{.00 × 10}}^{\text{24}}\text{atoms ×}\frac{\text{1 mole}}{\text{6}{\text{.022 × 10}}^{\text{23}}\text{atoms }}\text{= 4}\text{.98 moles Ne}\\ \text{2}{\text{.69 × 10}}^{\text{24}}\text{atoms ×}\frac{\text{1 mole}}{\text{6}{\text{.022 × 10}}^{\text{23}}\text{atoms }}\text{= 4}\text{.46 moles Xe}\\ \text{65}\text{.96 g ×}\frac{\text{1 mole}}{\text{83}\text{.8 g}}\text{= 0}\text{.787 moles Kr}\\ \text{4}\text{.25 moles Ar}\end{array}$

Thus the increasing order of moles of gases must be $\text{Kr < Ar < Xe < Ne}$.

Conclusion

Thus, the increasing order of moles of gases must be $\text{Kr < Ar < Xe < Ne}$.