- #1
danago
Gold Member
- 1,123
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Hey. I am currently studying chemical thermodynamics and have reached the section on solution thermodynamics.
For a pure liquid:
[tex]
\left(\frac{\partial g}{\partial P}\right)_T=RT \left(\frac{\partial ln(f)}{\partial P}\right)_T
[/tex]
Where g is the molar gibbs energy
P is pressure
T is temperature
R is the ideal gas constant
f is the fugacity
My first thought was to make use of one of the fundamental thermodynamic relations:
[tex]dg = v dP - s dT \Rightarrow \left(\frac{\partial g}{\partial P}\right)_T=v[/tex]
Where v is the molar volume and s is the molar entropy.
Anybody have any suggestions for a next step?
Thanks in advance,
Dan.
For a pure liquid:
[tex]
\left(\frac{\partial g}{\partial P}\right)_T=RT \left(\frac{\partial ln(f)}{\partial P}\right)_T
[/tex]
Where g is the molar gibbs energy
P is pressure
T is temperature
R is the ideal gas constant
f is the fugacity
My first thought was to make use of one of the fundamental thermodynamic relations:
[tex]dg = v dP - s dT \Rightarrow \left(\frac{\partial g}{\partial P}\right)_T=v[/tex]
Where v is the molar volume and s is the molar entropy.
Anybody have any suggestions for a next step?
Thanks in advance,
Dan.