Chapter 1, Problem 1C.7E

Interpretation Introduction

Interpretation:

The reliability of the perfect gas law in comparison with van der Waals equation has to be given. The difference in pressure of 10.00 g of carbon dioxide confined to a container of volume $100c{m}^3$ at ${25.0}^{o}C$ between treating it as a perfect gas and a Van der Waals gas has to be calculated.

Concept introduction:

Ideal gas equation,

$\text{PV}\text{=}\text{nRT}\boxed{\begin{array}{l}\text{Where,}\\ \text{P}\text{:}\text{Pressure}\\ \text{V:}\text{Volume}\\ \text{n:}\text{Number}\text{of}\text{moles}\\ \text{R:}\text{Gas}\text{constant}\\ \text{T}\text{:}\text{Temperature}\end{array}}$

Van der Waals equation:

The deviation from ideal gas law was accounted using two constants, a and b and was given by an equation called van der Waals equation which is similar to ideal gas law as follows,

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

  Where,

a and b are constants

P is the pressure

V is the volume

T is the temperature

R is molar gas constant

n is the mole