Thermodynamic properties of compressed liquids

AI Thread Summary
The discussion focuses on the challenges of determining thermodynamic properties (internal energy, enthalpy, entropy, and specific volume) for compressed liquids, particularly water, at pressures below 5 MPa. The original poster notes the availability of property tables starting at higher pressures and seeks information on calculating properties at lower pressures, such as 0.5 MPa. They provide links to relevant resources and equations that may assist in finding these properties, emphasizing the use of specific volume, thermal expansion coefficients, and bulk compliance. The equations shared can help derive the desired thermodynamic properties, although the poster admits to being unfamiliar with some of the latest formulas. Overall, the thread seeks guidance on accessing or calculating thermodynamic data for compressed liquids at lower pressures.
guideonl
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required properties for compressed liquids
Hi All,
I have review my thermodynamic notes (~35 year ago..), and I could not able to restore how to get thermodynamic properties (u,h,s,v ..) for compressed liquids. I have found properties tables for compressed liquids ( for water..) but unfortunately the data starts at 5MPa. What if I look for properties of compressed liquids (let say water) at pressures smaller than 5MPa? let say 0.5MPa?
 
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Thank you,
It was helpfull
 
Equations that might be helpful to you are
$$\left(\frac{\partial u}{\partial P}\right)_T=(P\beta-T\alpha)v$$
$$\left(\frac{\partial h}{\partial P}\right)_T=(1-T\alpha)v$$
$$\left(\frac{\partial s}{\partial P}\right)_T=-\alpha v$$where v is the specific volume, ##\alpha## is the volumetric coefficient of thermal expansion, and ##\beta## is the bulk compliance:$$\alpha=\left(\frac{\partial \ln{v}}{\partial T}\right)_P$$and $$\beta=-\left(\frac{\partial \ln{v}}{\partial P}\right)_T$$In these equations, away from the critical point, you can treat the specific volume as constant, and values of the coefficient of thermal expansion and bulk compliance (or its reciprocal, the bulk modulus) are in tables.
 
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Likes Lnewqban
Sorry,
I'm not femiliar with latest formulas you noted above..
Thanks any way
 
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