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 amount of heat q in the process. show that the entropy increases delta s of a in this process satisfies the inequality deltas> =q' t ' , where the equal sign is valid if the initial temperature of a differs infinitesimally from the temperatutre t' of a' . culled from statistical and thermal physics by f. reif question 3.4