Chapter 8.8, Problem 8.13PSP

Interpretation Introduction

Interpretation:

Percentage difference in pressure determined using Ideal gas equation and van der Waals equation should be calculated.

Concept Introduction:

Ideal gas Equation:

Any gas is described by using four terms namely pressure, volume, temperature and the amount of gas. Thus combining three laws namely Boyle’s, Charles’s Law and Avogadro’s Hypothesis the following equation could be obtained. It is referred as ideal gas equation.

  $\begin{array}{l}\text{V }\propto \frac{\text{nT}}{\text{P}}\\ \\ \text{V = R}\frac{\text{nT}}{\text{P}}\\ \\ \text{PV = nRT}\end{array}$

Here,

  n is the moles of gas

    P is the Pressure

  V is the Volume

    T is the Temperature

    R is the gas constant

Van der Waal’s gas equation:

The van der Waal equation describes the ideal gas as it approaches to zero. The van der Waal equation contains correction terms a and b for the intermolecular forces and molecular size respectively.

The van der Waal equation is as follows,

  $\left[P+a{\left(\frac{n}{V}\right)}^2\right]\left(\frac{V}{n}-b\right)=RT$