According to Boyle's Law, the volume of a gas is inversely proportional to its pressure, assuming the temperature and amount of gas remain constant. This means that if you triple the pressure of a gas, the volume will decrease by a factor of three.
Mathematically, Boyle's Law can be represented as:
P₁V₁ = P₂V₂
where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.
If the pressure is tripled (P₂ = 3P₁), the equation becomes:
P₁V₁ = 3P₁V₂
Rearranging the equation to solve for V₂ yields:
V₂ = V₁/3
This shows that the gas volume will decrease to one-third of its initial volume when the pressure is tripled.
How did tripling the pressure change the gas volume?
1 answer