Chapter 10, Problem 10.109SP

Interpretation Introduction

(a)

Interpretation:

The gases $\text{212 g Ne}$ and ${\text{212 g N}}_2$ kept within same volume tanks of capacity $\text{732 L}$ at same temperature $\text{293 K}$ are to be ranked from low to high on the basis of average speed.

Concept introduction:

In accordance with the kinetic-gas theory the relation between average speed, temperature, and molar mass is as follows:

$u=\sqrt{\frac{3RT}{M}}$

Where,

• $R$ is gas constant.
• $T$ represents temperature in kelvins.
• $M$ represents the molar mass in $\text{kg/mol}$.

Interpretation Introduction

(b)

Interpretation:

The gases $\text{212 g Ne}$ and ${\text{212 g N}}_2$ kept within same volume tanks of capacity $\text{732 L}$ at same temperature $\text{293 K}$ are to be ranked from low to high on the basis of pressure.

Concept introduction:

The expression to determine pressure as per ideal gas equation is given as follows:

$P=n\frac{RT}{V}$

Where,

• $R$ is gas constant.
• $V$ denotes the volume.
• $n$ denotes the number of moles.
• $T$ denotes temperature.
• $P$ denotes the pressure.

Interpretation Introduction

(c)

Interpretation:

The gases $\text{212 g Ne}$ and ${\text{212 g N}}_2$ kept within same volume tanks of capacity $\text{732 L}$ at same temperature $\text{293 K}$ are to be ranked from low to high on the basis of collision frequency.

Concept introduction:

The expression of collision frequency is given as follows:

$Z=N\sigma \sqrt{\frac{8k_{B}T}{\pi M}}$

Where,

• $N$ represents number of molecules.
• $\sigma$ represents the average area between two collision molecules.
• $M$ represents the molecular weight.
• $k_B$ denotes Boltzmann’s constant.
• $T$ represents the temperature in kelvins.

Interpretation Introduction

(d)

Interpretation:

The gases $\text{212 g Ne}$ and ${\text{212 g N}}_2$ kept within same volume tanks of capacity $\text{732 L}$ at same temperature $\text{293 K}$ are to be ranked from low to high on the basis of density.

Concept introduction:

The expression of density is given as follows:

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$