Constraints on the Gibbs Equation, Tds = dh - vdP

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The Gibbs equation Tds = dh - vdP has specific constraints for its application. It is valid primarily for closed systems at constant pressure, where the free energy is a function of temperature and pressure. The equation does not apply to mixtures or supercooled liquids, as these conditions can complicate the thermodynamic relationships. Additionally, the term Tds must be carefully considered to ensure the equation's proper use. Understanding these constraints is crucial for accurate thermodynamic analysis.
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Homework Statement


What constraints are imposed on the use of the Gibbs equation Tds = dh - vdP


Homework Equations



Tds = dh - vdP

The Attempt at a Solution



I seem to be stuck on this question. So far I have come up with the following constraints, but I'm not even sure if they are correct:

1. The equation holds for only closed systems at constant pressure
2. The equations holds only for systems in which the free energy depends only on P and T.
3. The equation doesn't apply on mixtures or supercooled liquids.
 
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afurry91 said:

Homework Statement


What constraints are imposed on the use of the Gibbs equation Tds = dh - vdP


Homework Equations



Tds = dh - vdP

The Attempt at a Solution



I seem to be stuck on this question. So far I have come up with the following constraints, but I'm not even sure if they are correct:

1. The equation holds for only closed systems at constant pressure
2. The equations holds only for systems in which the free energy depends only on P and T.
3. The equation doesn't apply on mixtures or supercooled liquids.

#1 can't be right - there is dp in the formula ...
#2 ?
#3 ?

So: 1st hint: how does the term Tds enter your equation?
 

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