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20 October, 01:26

Dissolved gas bubbles in a Coca Cola bottle with a volume of 1.20 uL are invisible to the naked eye in an unopened bottle because the bottle is pressurized to a pressure of 500.0 kPa. What is the volume of the Bubbles when the bottle is opened and the pressure on the soda drops to 101.3 kPa? Assume that the temperature and amount of gas stay the same throughout the whole process

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  1. 20 October, 01:29
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    Gases at constant temperature follow Boyle’s law, where it states that pressure is inversely proportional to gases at constant temperature.

    PV = k where P pressure, V - volume and k - constant

    At 2 instances

    P1V1 = P2V2

    Where the 1st instance parameters are on the left side and 2nd instance parameters on the right side

    1.20 uL x 500 kPa = V2 x 101.3 kPa

    V2 = 1.20 x 500 / 101.3

    The volume when pressure is dropped is 5.92 uL
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