Chapter 13, Problem 11ALQ

Interpretation Introduction

Interpretation:

How the Boyle’s law and Charle’s law are special cases of the ideal gas law should be explained.

Concept introduction:

An ideal gas can be categorized by three variables state: absolute pressure (P), absolute temperature (T) and volume (V), and the relationship between them are expressed in terms of ideal gas law.

Ideal gas law is a hypothetical law and is mathematically expressed as:

PV = nRT

Where,

P is the pressure of gas

V is the volume of the gas

T is the absolute temperature of the gas

R is the gas constant and

n is the number of moles of the gas molecules

Boyle’s law determines the relation between pressure and volume at a constant temperature for a fixed amount of gas. Boyle’s law is expressed as:

$\text{P}\propto \frac{1}{\text{V}}$

That is pressure is inversely proportional to the volume for a fixed amount of gas at a particular temperature.

Charle’s law determines the relation between volume and the temperature (kelvin) for a fixed amount of gas when the pressure is held constant. The law is expressed as:

$\text{V}\propto \text{T}$

That is volume is directly proportional to the temperature (kelvin) for a fixed amount of gas when at a particular pressure.