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13 July, 06:46

The volume (v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas is 24 cubic centimeters when the pressure is 16 pounds, what is the volume under a pressure of 30 pounds?

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  1. 13 July, 09:23
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    The answer is 12.8 cm³

    The volume (v) of a gas in a container at a constant temperature varies inversely as the pressure (p):

    v = k/p

    p * v = k (k - constant)

    p1v1 = k

    p2v2 = k

    So, p1v1 = p2v2

    v1 = 24 cm ³

    p1 = 16 lb

    v2 = ?

    p2 = 30 lb

    24 * 16 = x * 30

    384 = x * 30

    x = 384 / 30

    x = 12.8 cm³
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