Chapter 3, Problem 3.2E

(a)

Interpretation Introduction

Interpretation:

Flask with largest number of atoms in sample gases has to be determined.

Concept Introduction:

Dolton’s law of partial pressure gives relation between total pressure of mixture of gases and partial pressure of individual gases. The expression of relation can be represented as follows:

  $P=P_{\text{A}}+P_{\text{B}}+\cdot \cdot \cdot$

Here,

A and B are individual gases.

$P_{\text{A}}$ is partial pressure of gas A.

$P_{\text{B}}$ is partial pressure of gas B.

$P$ is total pressure of mixture of gases.

Root mean square speed is square root of average value of square of molecular speeds of molecules of gas. It includes molecular weight and temperature, both of which affect kinetic energy of a gas. It is denoted by $v_{\text{rms}}$. The expression for $v_{\text{rms}}$ is as follows:

  $v_{\text{rms}}=\sqrt{\frac{3RT}{M}}$

Here,

$R$ is gas constant.

$T$ is absolute temperature of gas.

$M$ is molecular weight of gas.

(b)

Interpretation Introduction

Interpretation:

Flask with highest pressure of gas from sample gases has to be determined.

Concept Introduction:

Refer to part (a).

(c)

Interpretation Introduction

Interpretation:

Flask with greatest density of gas in sample gases has to be determined.

Concept Introduction:

Refer to part (a).

(d)

Interpretation Introduction

Interpretation:

Flask with highest root mean square speed gas in sample gases has to be determined.

Concept Introduction:

Refer to part (a).

(e)

Interpretation Introduction

Interpretation:

Flask with highest molar kinetic energy in sample gases has to be determined.

Concept Introduction:

Refer to part (a).