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  • Boyle's Law Calculation: Pressure Change with Volume
    Here's how to solve this problem using Boyle's Law:

    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.

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