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It's a good idea to work out the assumptions implicit in your question. Since you are considering use of the Gibbs free energy as a criterion for spontaneity you are presumably concerned with a process carried out at constant T and P: $$dG \leq 0 ~~~(\textrm{const. T, P)}$$ The second assumption is that $\Delta S$ and $\Delta H$, associated with the ...


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Not all reaction is like this but, exothermic reactions are usually spontaneous because molecules always want to be more stable. So by reacting to another molecule and releasing energy, they can lower their own energy thus making them more stable and unreactive.


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This answer is correct. After determining the final temperature Tf, you have gone back to the initial state of each block and, to get its change in entropy, you have subjected it to an alternate reversible process in which, instead of contacting it with the other block, you have contacted it with an infinite continuous sequence of constant temperature ...


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