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15 July, 23:43

The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 1000 cubic centimeters when the pressure is 450 mm Hg, find the volume when the pressure is 250 mm Hg.

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  1. 16 July, 00:57
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    The answer is 1800 cm³

    Since T = const,

    P1 = k / V1

    k = P1 * V1

    P2 = k * V2

    k = P2 * V2

    k = P1 * V1 = P2 * V2

    V1 = 1000 cm³

    P1 = 450 mm Hg

    V2 = ?

    P2 = 250 mm Hg

    P1 * V1 = P2 * V2

    V2 = P1 * V1 / P2

    V2 = 1000 * 450 / 250 = 1800 cm³
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