For example the numbers of molecules on each side do

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Unformatted text preview: molecules will spontaneously gather in one half of the container. Therefore, if we monitor the entropy, as a function of time, for long enough, time reversibility will be recovered. It should also be noted that relatively small violations of the second law (fluctuations) happen all the time. For example, the numbers of molecules on each side do not have to be exactly equal. Moreover, systems that consist of only a small numbers of atoms violate the second law all the time (think of the case N=4). Example 2. We have also seen that hotter objects tend to have a higher entropy (other things being equal). For example, if the pressure of the system is fixed constant then S = c p ln T + constant (assuming that c p does not depend on temperature). How can we understand this from the point of v...
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