Chapter 5, Problem 5.107P

(a)

Interpretation Introduction

Interpretation:

The final pressure of the confined gas by the van der Waals equation is to be calculated.

Concept introduction:

The ideal gas equation can be expressed as follows,

$PV=nRT$

Here, $P$ is the pressure, $V$ is the volume, $T$ is the temperature, $n$ is the mole of the gas and $R$ is the gas constant.

The expression of the van der Waals equation is as follows:

$\left(P_{\text{VDW}}+\frac{n^{2}a}{V^2}\right)\left(V-nb\right)=nRT$

Here, $P$ is the pressure, $V$ is the volume, $T$ is the temperature, $n$ is the mole of the gas, $R$ is the gas constant, $a$ and $b$ are van der Waals constants.

(b)

Interpretation Introduction

Interpretation:

The $\frac{PV}{RT}$ value for ${\text{CH}}_{\text{4}}$ and the ${\text{CH}}_{\text{4}}$ value of figure is to be compared.

Concept introduction:

The ideal gas equation can be expressed as follows,

$PV=nRT$

Here, $P$ is the pressure, $V$ is the volume, $T$ is the temperature, $n$ is the mole of the gas and $R$ is the gas constant.

The expression of the van der Waals equation is as follows:

$\left(P_{\text{VDW}}+\frac{n^{2}a}{V^2}\right)\left(V-nb\right)=nRT$

Here, $P$ is the pressure, $V$ is the volume, $T$ is the temperature, $n$ is the mole of the gas, $R$ is the gas constant, $a$ and $b$ are van der Waals constants.