1. Nov 8, 2013

bootsnbraces

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. Nov 8, 2013

SteamKing

Staff Emeritus
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.

3. Nov 8, 2013

bootsnbraces

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!

4. Nov 9, 2013

Staff: Mentor

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.