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  • Boyle's Law: Calculating Pressure Changes with Volume Reduction
    Here's how to approach this problem, which involves Boyle's Law:

    Understanding Boyle's Law

    Boyle's Law states that the volume of a gas is inversely proportional to its pressure, assuming the temperature remains constant. This means:

    * If the volume decreases, the pressure increases.

    * If the volume increases, the pressure decreases.

    Calculations

    We don't have the initial pressure to calculate the final pressure directly. However, we can determine the factor by which the pressure changes.

    1. Calculate the volume ratio:

    * The volume decreased from 4 L to 0.5 L, meaning the final volume is 1/8th of the initial volume.

    2. Pressure change:

    * Since volume and pressure are inversely proportional, the pressure will increase by a factor of 8.

    Conclusion

    The pressure of the gas will increase by a factor of 8 when the volume is reduced from 4 L to 0.5 L while the temperature remains constant.

    Important Note: To get the exact final pressure, you would need to know the initial pressure.

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