Edexcel IGCSE Physics 复习笔记 5.3.6 Boyle's Law

• For a fixed mass of a gas held at a constant temperature:

pV = constant

• Where:
  • p = pressure in pascals (Pa)
  • V = volume in metres cubed (m³)

   

• This means that the pressure and volume are inversely proportional to each other
  • When the volume decreases (compression), the pressure increases
  • When the volume increases (expansion), the pressure decreases

   

• This is because when the volume decreases, the same number of particles collide with the walls of a container but more frequently as there is less space
  • However, the particles still collide with the same amount of force meaning greater force per unit area (pressure)

   

• The key assumption is that the temperature and the mass (and number) of the particles remains the same

Increasing the volume of a gas decreases its pressure

• This equation can also be rewritten for comparing the pressure and volume before and after a change in a gas:

P₁V₁ = P₂V₂

• Where:
  • P₁ = initial pressure in pascals (Pa)
  • V₁ = initial volume in metres cubed (m³)
  • P₂ = final pressure in pascals (Pa)
  • V₂ = final volume in metres cubed (m³)

   

• This equation is sometimes referred to as Boyle's Law

Initial pressure and volume, P₁ and V₁, and final pressure and volume, P₂ and V₂