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Statistical mechanics Geyser

  1. Aug 16, 2008 #1
    Please help:

    1. The problem statement, all variables and given/known data
    A simple model of a Geyser is an underground huge lake connected to the surface
    by a small tube.
    let the depth (and the tube length) be 90m.
    proove that the ratio between the mass of the water in the lake and the gas which sparks from the geyser is:

    \frac{{\Delta M}}{M} = \frac{c}{L}(T_{10} - T_1 )

    T1, T10 - are boiling tempertures at 1 atm. pressure, and 10 atm. pressure.
    c - water heat capacity.
    L - Latent heat.

    2. Relevant equations

    Clasius Claperon equation (Coexistence line):
    P = P_0 \times Exp[\frac{{ - L}}{\tau } + \frac{L}{{\tau _0 }}]

    Attached Files:

  2. jcsd
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