Chapter 1, Problem 1.1DQ

Interpretation Introduction

Interpretation:

An explanation has to be given for, how the experiments of Boyle, Charles, and Avogadro led to the formation of the perfect gas equation of state.

Concept introduction:

According to Boyle’s law of gas molecules,

If the volume of gases in a container is increased then the pressure will decrease at constant temperature and number of moles.

Equation for Boyle’s law is,

            ${\text{P}}_{\text{initial}}{\text{V}}_{\text{initial}}\text{=}{\text{P}}_{\text{final}}{\text{V}}_{\text{final}}$

Charles’ law: At constant pressure, the volume of a gas varies directly with its Kelvin temperature.

$\frac{V_1}{T_1}=\frac{V_2}{T_2}=K$

Avogadro’s law: At constant temperature and pressure, the volume is directly proportional to the number of moles of gas.

$\text{V}\text{α}\text{n}$

Ideal gas equation,

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