Chapter 8, Problem 106E

Interpretation Introduction

Interpretation: For the given picture, three distinct changes to double the volume of a container should be explained.

Concept introduction:

• A gaseous law with interpreting the relationship between the pressure and volume of a gas at constant temperature. This law is known as Boyle’s law. 

Mathematically,

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

or

$\text{PV=K}$

Where,

P = pressure in atmospheres

V= volumes in liters

K= a constant for a particular gas at given temperature

• A gaseous law with interpreting the relationship between the temperature and volume of a gas at constant pressure. That is the behavior of gas towards the heat. This law is known as Charles’s law.

Mathematically this law can be written as,

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

$\text{V=b}\text{T}$

Where,

T is temperature and b is proportionality constant

• A gaseous law with interpreting the relationship between the number of moles and the volume of a gas at constant temperature and pressure. This law is known as Avogadro’s law

Mathematically this law can be written as,

$\text{V}\propto \text{n}$

$\text{V}\text{=}\text{a n}$

Where,

n is the number of moles of gas and a is proportionality constant