Gibbs Free Energy: Explained & Explored

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Gibbs energy, represented as G = H - TS, is the total energy available in a system at constant temperature and pressure, making it crucial for analyzing isothermal and isobaric processes. The change in Gibbs free energy (ΔG = ΔH - TΔS) determines whether a process is spontaneous, depending on the sign of ΔG. It is particularly significant in open systems or chemical reactions where particle numbers vary. The relationship between Gibbs energy and chemical potentials is expressed as G = Σ Ni μi, highlighting the extensive nature of particle numbers. Understanding Gibbs energy is essential for evaluating the feasibility of thermodynamic processes.
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I don't think I completely understand what Gibbs energy is, Is it the work you can get out of a system at fixed Temperature and pressure. Does anyone have another angle on it cause It seems weird to me.
 
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The Gibbs free energy is the total energy available to a system, G = H-TS, and is used instead of other free energies such as the Helmholtz free energy (I think there are others as well) when the system undergoes isothermal and isobaric processes. The Helmholtz free energy is more applicable for isothermal and isochoric processes.

Processes that result in a change in the Gibbs free energy ΔG = ΔH-TΔS are classified as "spontaneous" or not depending on the sign of ΔG.
 
ok thanks for your answer.
 
Gibbs free energy is especially important once varying particle numbers are considered, i.e. open systems or chemical ractions. The reason is that of the natural variables T,p, {N_i} only on the particle numbers N_i are extensive variables. By the theorem on homogeneous functions,
G=\sum_i N_i \mu_i i.e. it can be expressed in terms of the chemical potentials of the components.
 
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