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7 December, 06:12

A 2.0cm3 air bubble is released from the sandy bottom of a warm, shallow sea, where the gauge pressure is 1.2atm. The bubble rises slowly enough that the air inside remains at the same constant temperature as the water. What is the volume of the bubble as it reaches the surface?

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  1. 7 December, 08:38
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    V2 = P1*V1/P2

    V2 = 4.4cm3

    Explanation:

    Applying Boyle's law

    P1*V1 = P2*V2

    V2 = P1*V1/P2

    Where;

    V1 = initial volume of air bubble = 2.0cm3

    V2 = final volume of air bubble

    P1 = initial pressure of air bubble = 1.2 + 1 atm = 2.2 atm

    (Absolute pressure = guage pressure + atmospheric pressure)

    P2 = final pressure of air bubble = 1 atm

    V2 = 2.0 * 2.2/1.0

    V2 = 4.4cm3
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