Chapter 11.2, Problem 20PP

Interpretation Introduction

Interpretation:

The initial volume of a gas in millimetres should be determined.

Concept Introduction:

Boyle's Law gives the relationship between Pressure (P) and Volume (V).

According to Boyle's Law, the volume of gas changes inversely with the pressure of the gas if temperature and amount of a gas are constant.

PV = constant

  $\text{Pα}\frac{\text{1}}{\text{V}}$

If the pressure or volume of a gas changes without any change in amount of a gas and temperature, then the final volume and pressure will give the same PV product as the initial volume and pressure. Then, a relationship between initial and final PV products can be set as equal to each other. Boyle’s Law can be written as:

  ${\text{P}}_{\text{1}}{\text{V}}_{\text{1}}{\text{=P}}_{\text{2}}{\text{V}}_{\text{2}}$ (Temperature and amount of a gas remain constant)

Where, P₁ and V₁ are the initial pressure and volume.

P₂ and V₂ are the final pressure and volume.