Chapter 5, Problem 5.11QP

Interpretation Introduction

Interpretation:

From the Boyle’s law, Charles law, Avogadro’s Law the ideal gas equation should be explained

Concept Introduction:

Boyle’s law:  According to Boyle’s law, pressure and volume are inversely proportional to each other at a given temperature.

$\begin{array}{l}\text{PV}\text{=}\text{Constant }\mathrm{...}\text{(1)}\\ \text{or}\\ \text{ Vα}\frac{\text{1}}{\text{P}}\end{array}$

Where,

P = Pressure

V = Volume

Charles law: According to Charles law, temperature and volume are directly proportional to each other at a constant pressure.

   $\begin{array}{l}\text{VαT(at}\text{a}\text{constant}\text{pressure) }\mathrm{...}\text{(2)}\\ \text{or}\\ \frac{\text{V}}{\text{T}}\text{=}\text{C}\end{array}$

Where,

T = Temperature

V = Volume.

Avogadro’s law: According to Avogadro’s law, equal volumes of gases contain same number of molecules at a given temperature and volume.

$\begin{array}{l}\text{Vα n (at}\text{a}\text{constant}\text{pressure) }\mathrm{...}\text{(3)}\\ \text{or}\\ \frac{\text{V}}{\text{n}}\text{= k}\end{array}$

Where,

n = no. of molecules (in moles)

V = Volume

k = constant