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29 January, 05:29

What volume will a balloon occupy at 1.0 atm, if the balloon has a volume of 4.4 l at 2.2 atm?

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  1. 29 January, 06:49
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    The two states of the balloon are

    State 1:

    pressure, p₁ = 1 atm = 101325 Pa

    State 2:

    volume, V₂ = 4.4 L = 4.4*0.001 m³ = 0.0044 m³

    pressure, p₂ = 2.2 atm = 2.2*101325 Pa = 222915 Pa

    Let V₁ = the volume in state 1.

    Assume that the air in the balloon is at the same temperature at the two given states.

    Then according to Boyle's Law (pV = constant), obtain

    (101325 Pa) * (V₁ m³) = (222915 Pa) * (0.0044 m³)

    V₁ = 0.00968 m³

    = (0.00968 m³) / (0.001 m³/L) = 9.68 L

    Answer: 9.68 L
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