Chapter 10, Problem 10.112SP

Interpretation Introduction

Interpretation:

Pressure of $\text{0}\text{.500 mol}{\mathrm{N}}_2$ is to be calculated in $\text{atm}$ from both the ideal gas and Van der Waals equation.

Concept introduction:

The combination various gas laws namely Boyle’s law, Charles law and Avogadro’s leads to ideal gas equation that relates all four properties such as given below:

$PV=nRT$

Where,

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

Van der Waals equation is given as follows:

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

Where,

• $a$ is a constant that indicates strength of the attractive force.
• $b$ signifies measure of size of gas sample.