Does the Adiabatic Gas Equation Apply to Liquid Compression at High Pressures?

[bootsnbraces]

Hi all,
Hope you can help I am 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

 

[SteamKing]

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.

 

[bootsnbraces]

unfortunately nearly incompressible doesn't count at 7000 bar, i don't 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 I am damned if i can find it now!

 

[Chestermiller]

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 C_pΔT.