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    Ldobry7554's Avatar
    Ldobry7554 Posts: 13, Reputation: 1
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    #1

    May 26, 2010, 03:00 PM
    Atmospheric Pressure
    How does the pressure at a point in a fluid vary with the depth of the point below the surface of the fluid? A bottle, full of air at atmospheric pressure, whose volume is 500 cubic centimeters, is sunken mouth downwards below the surface of a pond. How far must it be sunk for 100 cubic centimeters of water to run up into the bottle?

    Is there a hydrostatic equations for finding the pressure outside of the bottle?

    we'll use Boyle's Law pV=k to solve for the inside but do we need to arrange: p=k/V?
    Would we use the universal gas constant for this: 8.31432
    So
    p=500/8.31432 = 60.14 for inside pressure?

    I'm kind of stuck on this one..
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    May 27, 2010, 08:13 AM

    There is indeed a formula for that. Try using:



    where P is the pressure of the liquid
    h is the depth of the liquid
    rho () is the density of the liquid
    g is the acceleration due to gravity.

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