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Volume expansion?

  1. Apr 27, 2009 #1
    1. The problem statement, all variables and given/known data

    At 19 m below the surface of the sea (den-
    sity of 542 kg/m^3), where the temperature is
    7 degree C, a diver exhales an air bubble having a
    volume of 0.8 cm^3.
    If the surface temperature of the sea is 13 degree C,
    what is the volume of the bubble immediately
    before it breaks the surface? The acceleration
    of gravity is 9.8 m/s^3 and the atmospheric
    pressure is 1.02 × 105 Pa. Answer in units of
    cm^3.

    2. Relevant equations

    [tex]\Delta[/tex]V = [tex]\beta[/tex]Vinitial[tex]\Delta[/tex]T

    3. The attempt at a solution
    Vfinal - Vinitial = [tex]\beta[/tex]Vinitial(Tfinal - Tinitial)
    Vfinal = [tex]\beta[/tex]Vinital(Tfinal - Tinitial) + Vinitial
    = (3400x10^-6)(0.8)(13-7) + 0.8
    = 0.81632 cm^3
     
  2. jcsd
  3. Apr 28, 2009 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Rather than attempt to use a volume expansion formula (which might only apply under certain conditions, such as constant pressure), consider the basic properties of a gas. How are pressure, volume, and temperature of a gas related?
     
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