Chapter 10.8, Problem 1RC

Interpretation Introduction

Interpretation:

The pressure in the tank should be determined by using van der Waals equation under the given conditions.

Concept introduction:

Van der Waals equation of state approaches the ideal gas law $\boxed{\text{PV}\text{=}\text{nRT}}$ as the values of these constant approaches zero. And this equation corrects some of the errors arising from non-ideality when dealing with ideal gas equation.

$\left(\text{P+}\text{a}{\left[\frac{\text{n}}{\text{V}}\right]}^{\text{2}}\right)\left(\text{V-bn}\right)\text{=}\text{nRT}$ $\boxed{\begin{array}{l}\text{P}\to \text{pressure}\\ \text{V}\to \text{volume}\\ \text{T}\to \text{temperature}\\ \text{n}\to \text{mole}\\ \text{a}\to \text{correction}\text{term}\text{for}\text{intramolecular}\text{forces}\\ \text{b}\to \text{correction}\text{term}\text{for}\text{molecular}\text{volume}\end{array}}$

$\text{P}=\frac{\text{nRT}}{\text{V-bn}}\text{-}\frac{{\text{n}}^{\text{2}}\text{a}}{{\text{V}}^{\text{2}}}$