How Does the Total Derivative of Gibbs Free Energy Change in a Closed System?

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SUMMARY

The total derivative of Gibbs free energy in a closed system with constant temperature is influenced by changes in volume and surface area, while the amount of substance remains constant (dn=0) and temperature (dT=0) does not contribute to the derivative. The discussion emphasizes that both volume and surface area can vary, contradicting the assumption that they are constant. Clarification on the term "surface" is necessary for a complete understanding of its impact on Gibbs free energy.

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  • Understanding of thermodynamic principles, specifically Gibbs free energy.
  • Familiarity with closed systems in thermodynamics.
  • Knowledge of partial derivatives and their application in thermodynamic equations.
  • Basic concepts of state variables such as volume, temperature, and amount of substance.
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  • Research the role of surface area in thermodynamic processes.
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Lindsayyyy
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Hi everyone

Homework Statement



Let's say I want to do the totale drivative of the Gibbs free energy in dependent of: volume, temperature, amount of substance and surface. And let's say afterwards we have a closed system where the temperature is constant. How does the total derivative change?



Homework Equations


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The Attempt at a Solution



I guess I know that the amount of substance doesn't change in a closed system, so my dn=0 and this part gets lost, also dT=0. But I'm not sure about the surface, does that change aswell? I think the Volume can't be disregarded.

Thanks for your help
 
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If all you are given is that the temperature is constant, I would see no reason to assume that volume or "surface" are constant.

(What, exactly, do you mean by "surface"? All other variables you mention are numbers.)
 

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