In this problem, you will work through making sense of the thermodynamic quantities of entropy (S), internal energy (Uint), enthalpy (H), and Gibbs free energy (G) in a simple toy model in which you can actually calculate everything explicitly: the free expansion of a thermally isolated ideal gas.
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https://umdberg.pbworks.com/w/page/63649478/Free%20energy%20in%20free%20expansion