Chapter 9, Problem 9.114CHP

Interpretation Introduction

Interpretation:

The pressure of the gas has to be calculated both in ideal gas law equation and van der Waals equation.

Concept Introduction:

Ideal gas equation is an equation that is describing the state of an imaginary ideal gas.

$\text{PV}\text{=}\text{n RT}$

Where,

P is the pressure of the gas

V is the volume

n is the number of moles of gas

R is the universal gas constant $\text{(R=0}{\text{.0821LatmK}}^{\text{-1}}{\text{mol}}^{\text{-1}})$

T is the temperature

Van der Waals equation:

The deviations in the behaviour of real gases can be dealt with mathematically by a modification of the ideal gas law called the van der Waals equation, the correction factor used is a, b.

$\begin{array}{l}\left(\text{P+}\frac{{\text{am}}^{\text{2}}}{{\text{V}}^{\text{2}}}\right)\left(\text{V-nb}\right)\text{=nRT}\\ \text{P=}\frac{\text{nRT}}{\text{V-nb}}\text{-}\frac{{\text{am}}^{\text{2}}}{{\text{V}}^{\text{2}}}\end{array}$