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    Christianh0816's Avatar
    Christianh0816 Posts: 1, Reputation: 1
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    #1

    Feb 27, 2012, 04:41 PM
    what is the volume of the bubble at the surface of this problem
    a bubble of gas with a volume of 1.20 cm3 is released under water. As it rises to the surface, the temperature of the bubble increases from 27 C to 54 C and the pressure is cut to one-third of its initial value. What is the volume of the bubble at the surface.
    jcaron2's Avatar
    jcaron2 Posts: 986, Reputation: 204
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    #2

    Feb 27, 2012, 09:16 PM
    The ideal gas law says PV=nrT, which can be rewritten as PV/T = nr. Since the right hand side of that equation is a constant (the number of moles of gas is not changing), the left-hand side must remain unchanged as the bubble rises.

    Hence, you can say PV/T(underwater) = PV/T(surface).

    P underwater is p.
    P at the surface is p/3.

    T underwater is 27C, or 300K.
    T at the surface is 54C, or 327K.

    V underwater is 1.2 cm^3.
    V at the surface is??

    Just plug in the values and solve for V at the surface.
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