Heat energy into chemical energy? That doesn't sound right to me. I'm studying bacteria and such that live in really hot environments, and they don't directly use the heat to make chemical energy. A more correct answer would be that Living systems convert 'radiation' (not heat) into chemical energy. (via photosynthesis)
secondly entropy IS reduced when this happens but that's not really the purpose of it.
side note that's probably off topic, the entropy is only reduced IN the cell. the overall entropy in the surrounding is increased. So overall entropy is actually not reduced.
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