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Density of sea water

  1. Nov 17, 2009 #1
    What the density of sea water at depth of 1000 M where the water pressure is about 1.0*10^7 pascal the density of sea water at the surface is 1.03*10^3 kilograms per cubic M?


    2. Relevant equations
    BULK MODULUS=dP/dV/V
    p=pressure
    v=volume
    B of water=,21*10^10 n/m^2
    it is approx to the bulk of sea water


    3. The attempt at a solution
    Ihave used the (1000m)depth as aforce at the bottom then A=f/p=1000/1.0*10^7=10^-4 M^2
    dV=A*h=10^-4*1000=10^-1 m^3
    from bulk modulus=dp/dv/v=,21*10^10=10^7/dv/v then dv/v=4,76*10^-3 then v(surface)= x then density surface=mass/v then mass = x then v depth = dv+v surface(because as account to the bulk modulus the volume smaller at the depth) then the density of the depth= mass/v depth

    it right to assume that the depth is aforce??????
     
    Last edited: Nov 17, 2009
  2. jcsd
  3. Nov 17, 2009 #2

    lanedance

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    Homework Helper

    no, depth is not a force, depth is a distance

    a supported column of fluid in a gravitational field leads to a hydrostatic pressure (which has units of Force/Area)

    the hydrostatic pressure in a constant gravitational field, is given by
    [tex] P = \rho g h [/tex]
    where h is the depth
     
  4. Nov 17, 2009 #3
    thank you for help but g is the acceleration due gravity ?what p
    can you help me mor is there another method ?but I have to use the bulk modulus in the solution I will be very grateful for your help

    thank you alot
     
    Last edited: Nov 17, 2009
  5. Nov 17, 2009 #4

    lanedance

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    g is the accleration due to gravity

    so, first calculate the pressure at 1000m assuming the density is constant

    then assume the bulk modulus is constant with pressure & calculate the corresponding volume & density change. (similar to what you attempted previously)

    This will be a pretty good approximatino to the densety change, to do any better you would have to set up an integral
     
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