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aamc 11 PS #11--spontaneous

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This question is perplexing me. It asked

Based on the passage, Reaction 1 (decomposition of nitroglycerin) at 25C most likely has:

The answer is NEGATIVE (delta)G and positive (delta)S

I don't understand why delta-G is negative when in the passage it says that "it undergoes decomposition violently when heated or shocked". I thought, without calculating deltaH from the data, that since it needed an external source of energy, it'd be non-spontaneous. Is there something I'm...

aamc 11 PS #11--spontaneous

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