Boyle's Law states that the pressure of a gas is inversely proportional to its volume, assuming constant temperature. Mathematically:
P₁V₁ = P₂V₂
Where:
* P₁ = Initial pressure
* V₁ = Initial volume
* P₂ = Final pressure
* V₂ = Final volume
Let's plug in the values:
* P₁ = 0.988 atm
* V₁ = 1.00 L
* V₂ = 4.40 L
* P₂ = ?
Solve for P₂:
0.988 atm * 1.00 L = P₂ * 4.40 L
P₂ = (0.988 atm * 1.00 L) / 4.40 L
P₂ ≈ 0.225 atm
Therefore, the new pressure of the helium sample in the 4.40 L container is approximately 0.225 atm.