Constraints on the Gibbs Equation, Tds = dh - vdP

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SUMMARY

The Gibbs equation Tds = dh - vdP imposes specific constraints on its application. It is valid exclusively for closed systems at constant pressure, where the free energy is a function solely of pressure (P) and temperature (T). Additionally, the equation does not apply to mixtures or supercooled liquids. These constraints are essential for accurate thermodynamic calculations.

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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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