Chapter 5, Problem 5.85P

Interpretation Introduction

Interpretation:

Whether the partical volume causes negative or positive deviation from $\text{PV/RT}$ ratio is to be determined. Also, increasing magnitude of the deviation of given gases are to be determined.

Concept introduction:

Gases that obey the ideal gas equation at all temperature and pressure are known as ideal gas.

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 van der Waals equation is as follows:

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

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.

At low pressure and high temperature, real gas will obey the gas laws.