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15 August, 10:30

A 1.18 L sample of gas at 759 mm Hg pressure is expanded until its volume is 2.06 L. What will be the pressure in the expanded gas sample (at constant temperature) ?

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  1. 15 August, 12:25
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    434.77 mmHg

    Explanation:

    Data obtained from the question include:

    V1 (initial volume) = 1.18 L

    P1 (initial pressure) = 759 mmHg

    V2 (final volume) = 2.06 L

    P2 (final pressure) = ?

    The Boyle's law equation P1V1 = P2V2, will be use to obtain the final pressure of the gas since the temperature is constant. So, applying the Boyle's law equation, the final pressure is obtained as shown below:

    P1V1 = P2V2

    759 x 1.18 = P2 x 2.06

    Divide both side by 2.06

    P2 = (759 x 1.18) / 2.06

    P2 = 434.77 mmHg

    Therefore, the final pressure of the gas is 434.77 mmHg
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