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  • Charles's Law: Calculating Gas Volume Change with Temperature
    Here's how to solve this problem using the Charles's Law principle:

    Charles's Law

    Charles's Law states that the volume of a gas is directly proportional to its absolute temperature, assuming constant pressure. Mathematically:

    V₁/T₁ = V₂/T₂

    Where:

    * V₁ = Initial volume

    * T₁ = Initial temperature (in Kelvin)

    * V₂ = Final volume

    * T₂ = Final temperature (in Kelvin)

    1. Convert Temperatures to Kelvin:

    * -45°C + 273.15 = 228.15 K

    * 45°C + 273.15 = 318.15 K

    2. Set up the Equation:

    3.8 L / 228.15 K = V₂ / 318.15 K

    3. Solve for V₂ (the final volume):

    V₂ = (3.8 L * 318.15 K) / 228.15 K

    V₂ ≈ 5.3 L

    Therefore, the helium will occupy approximately 5.3 liters at 45°C.

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