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Suppose that a system A is placed into thermal contact with a heat reservoir A' which is at an absolute temperature T' and that A absorbs an amount of heat Q in this process. Show that the entropy increase delta (S) of A in this process satisfies the inequality delta (S) >= Q/T' where the equals sign is only valid if the initial temperature of A differs infinitesimally from the temperature T' of A'.

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This solution is comprised of detailed explanation and step-by-step calculation of the given problem regarding entropy increasing delta.

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