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11 August, 00:52

A gas occupies 3.5L at 2.5 atm of pressure. What is the volume at 787 torr at the same temperature?

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  1. 11 August, 01:07
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    Answer: 8.45 L

    Explanation:

    Given that,

    Initial volume (V1) = 3.5L

    Initial pressure (P1) = 2.5 atm

    [Since final pressure is given in torr, convert 2.5 atm to torr

    If 1 atm = 760 torr

    2.5 atm = 2.5 x 760 = 1900 torr

    Final volume (V2) = ?

    Final pressure (P2) = 787 torr

    Since pressure and volume are given while temperature remains the same, apply the formula for Boyle's law

    P1V1 = P2V2

    3.5L x 1900 torr = 787 torr x V2

    6650L•torr = 787 torr•V2

    Divide both sides by 787 torr

    6650L•torr/787 torr = 787 torr•V2/787 torr

    8.45 L = V2

    Thus, the volume of the gas at 787 torr and at the same temperature is 8.45 Liters
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