Chapter 5, Problem 3RQ

Interpretation Introduction

Interpretation: The special cases of the ideal gas law using Boyle’s law, Charles’s law and Avogadro’s law are to be shown and the relationship between P and n (at constant V and T) and between P and T( at constant V and n) are to be determined using ideal gas law.

Concept Introduction:

Ideal gas law is applicable to those gases which obey Boyle’s law and Charles’s law. The ideal gas equation can be obtained by combining the equations of Boyle’s law and Charles’s law.

At constant temperature, (Boyle’s law)

$\text{Pα}\frac{\text{1}}{\text{V}}$

At constant volume, (Charles’s law)

$\text{PαT}$

By combining the above equations,

$\begin{array}{l}\text{Pα}\frac{\text{T}}{\text{V}}\\ \\ \text{PVαT}\\ \\ \text{PV=RT}\end{array}$

Where R= proportionality constant called as gas constant.

The general equation for ideal gas law is written as,

$\text{PV=nRT}$

Where n= number of moles

Boyle’s law is one of the gas laws, states that for a known mass of gas at steady temperature, the pressure (P) is inversely proportional to its volume (V). The Boyle’s law can be expressed as,

$\text{P=(nRT)}\frac{\text{1}}{\text{V}}$

Where $\text{nRT=constant}$