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11 February, 21:08

A science class puts a balloon containing 1.25 l of air at 101 kpa into a bell jar. using an air pump, the class removes some of the air in the jar, causing the balloon to expand to a volume of 2.25 l. assuming a constant temperature, what is the new pressure inside the jar?

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  1. 11 February, 23:58
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    The first thing you should know in this case is the following definition:

    PV = nRT

    Then, as the temperature is constant, then:

    PV = k

    Then, we have two states:

    P1V1 = k

    P2V2 = k

    We can then equalize both equations:

    P1V1 = P2V2

    Substituting the values:

    (1.25) * (101) = (2.25) * (P2)

    Clearing P2:

    P2 = ((1.25) * (101)) / (2.25) = 56.11Kpa

    answer:

    the new pressure inside the jar is 56.11Kpa
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