Given are the Gibbs-Helmholtz equation: and any possible chemical reactions you come up with.
Remember, we are in Chemistry, which means that there must be a chemical reaction with this property or it must be in fact impossible for to equal 0.
I think it is impossible, because the educt must be the same as the product in order to get the same entropy and this wouldn't be considered a chemical reaction anymore.
It would be nice if you could prove me or disprove me. Anyway looking forward to see your comments on this.
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It's not always about reactions when you think on a big scale. Think about thermodynamics. If an ideal gas is expanded reversibly and adiabatically or if it undergoes a cyclic process then ΔS=0 for the isolated system.
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However, perfectly isolated systems cannot be found in nature, they are a mathematical model. Entropy always increases in general - if it does decrease somewhere, then it is only because somewhere else it has increased.