- #1

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## Homework Statement

An air bubble of radius 2mm if formed at the bottom of a 3.3m deep river.Calculate radius of bubble as it comes to the surface.

atmospheric pressure=10^5 pa and density of water=1000 kg/m^3

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- Thread starter anand
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- #1

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An air bubble of radius 2mm if formed at the bottom of a 3.3m deep river.Calculate radius of bubble as it comes to the surface.

atmospheric pressure=10^5 pa and density of water=1000 kg/m^3

- #2

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Then the volume enclosed by the buble change by the factor P1/P2 (pressure is inversely proportional to the volume).

Assuming the buble as a sphere you can easily work out the radius.

- #3

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Why is the pressure inversely proportional to the volume and not the surface area?

- #4

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Why is the pressure inversely proportional to the volume and not the surface area?

At constant temperature, when pressure increases gas volume decreases(it is a general observation). Mathematically speaking, when pressure is doubled volume becomes halve of the original volume. So it is evident why volume and pressure are inversely related.

Pressure is independent of surface area. Because pressure is defined as force exerted perpendicularly on unit area(i.e P=F/A).

- #5

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Thanks a lot!

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