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Adiabatic liquid compression

  1. Nov 8, 2013 #1
    Hi all,
    Hope you can help im trying to figure out the temperature rise in a liquid subject to high pressures (7000bar in this case)

    Is the below adiabatic gas equation still suitable? or is there another way of working this out for liquids?

    T2 = T1(v1/v2)^y-1
    P2 = P1(v1/v2)^y
    Were y = Cp/Cv

    I tried working this out backwards from the theory that pressure = f/a = energy/volume but i got a bit lost along the way lol
     
  2. jcsd
  3. Nov 8, 2013 #2

    SteamKing

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    Most liquids are essentially incompressible, so I wouldn't expect a great rise in temperature. And I wouldn't think that using gas equations to model liquid behavior would be accurate, either.
     
  4. Nov 8, 2013 #3
    unfortunately nearly incompressible doesn't count at 7000 bar, i dont expect the rise to be to great but i need to figure out what it will be and don't know enough about thermodynamics to get there!
    I did stumble across the answer on a different forum a few months ago but im damned if i can find it now!
     
  5. Nov 9, 2013 #4
    Try starting out with the pressure-volume equation for a liquid: V=V0e-βP where β is the bulk modulus, and V0 is the volume at low pressure. Use this to calculate the compressional work done. That should be equal to CpΔT.
     
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