Can Gibbs Free Energy Be Defined for Irreversible Processes?

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SUMMARY

The discussion focuses on the applicability of Gibbs free energy in irreversible processes, specifically in the context of protein thermal stability. It establishes that Gibbs free energy can indeed be defined for irreversible processes by considering only the initial and final states, regardless of the path taken. The change in state functions remains consistent, allowing for calculations without needing an equilibrium constant. An example provided is the free expansion of a gas, where entropy change can be calculated despite the irreversibility of the process.

PREREQUISITES
  • Understanding of Gibbs free energy and its role in thermodynamics
  • Familiarity with protein thermal stability concepts
  • Knowledge of state functions and their properties
  • Basic principles of kinetics and the Arrhenius equation
NEXT STEPS
  • Study the calculation of Gibbs free energy changes in irreversible processes
  • Explore the relationship between state functions and path independence in thermodynamics
  • Investigate the application of the Arrhenius equation in biochemical kinetics
  • Learn about entropy changes in non-reversible processes using practical examples
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Researchers in biochemistry, thermodynamics enthusiasts, and anyone studying protein stability and kinetics in irreversible processes.

arwelbath
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Hi,
I'm working on a problem of the thermal stability of a protein. Conventionlly, people compare protein thermal stability in terms of the Gibbs free energy difference between the native and unfolded state. So if it reversibly falls apart, then for N <==> U, DG(N-U) is accessed from the classical equilibrium constant for the process. (DG = -RT ln K)

But, unfortunately my system unfolds irreversibly so that N --> U.

Is the gibbs free energy defined for an irreversible process? If so, how can it be calculated without an equilibrium constant? If it's not defined, is there an equilvalent quantity which can be used?

The best I can do so far is to look at the kinetics, which I've done and got an Arrhenius activation energy. Can I get any more information from this?

Please Help!
 
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irreversible

I don't think I can help you fully with the problem.
But there is one idea that I have about calculating state variables like Gibbs' energy for irreversible processes.

It is not required for the system to undergo a reversible process. If your system has a definable state, then you just need to consider the initial and final states. The change in state functions will be the same whether the system undergoes a reversible or an irreversible change if the initial and final state are the same. So, you can follow any path which makes your calculations easy and leads to the same final condition. The result will be the same.

I saw such an example in the free expansion of a gas. Even though it is not a reversible process, we could calculate the change in entropy by taking into account only the initial and final states and some other process where it leads to the same result but was more easily calculable.

hope that helps!

spacetime
www.geocities.com/physics_all/index.html
 

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