A bubble of air has a volume of 16 cm3 when at a depth of 6.5 m. As the bubble rises, it expands. What is the bubble’s volume just below the

Question

A bubble of air has a volume of 16 cm3 when at a depth of 6.5 m. As the bubble rises, it expands. What is the bubble’s volume just below the surface of the water? (Note: Assume the temperature of the air in the bubble doesn’t change, in which case pressure times volume is constant.)

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Hải Đăng 2 months 2021-07-31T17:36:48+00:00 1 Answers 2 views 0

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    2021-07-31T17:38:41+00:00

    Answer:

    26.0689859363\ cm^3

    Explanation:

    Absolute pressure is given by

    P_1=P_0+\rho gh\\\Rightarrow P_1=101325+1000\times 9.81\times 6.5\\\Rightarrow P_1=165090\ Pa

    P_2=101325\ Pa

    We have the relation

    P_1V_1=P_2V_2\\\Rightarrow V_2=\dfrac{P_1V_1}{P_2}\\\Rightarrow V_2=\dfrac{165090\times 16\times 10^{-6}}{101325}\\\Rightarrow V_2=0.0000260689859363\ m^3\\\Rightarrow V_2=26.0689859363\ cm^3

    The bubble’s volume just below the surface is 26.0689859363\ cm^3

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