Please answer the following the question: When we considered the entropy of mixi

Question

Please answer the following the question:

When we considered the entropy of mixing, we found that the entropy change for material B was: delta SB=-Nk(xlnx) , where x = NB|N . Explain mathematically why A SB is definitely positive. Imagine that the mixing occurs as indicated by Fig. 2.15 (that is, by removing a partition separating materials A and B). Explain PHYSICALLY why delta SB is definitely positive. Imagine that the mixing occurs by forcing particles of A into a fixed volume containing B. Explain PHYSICALLY why delta SB is definitely positive. Two different gases, separated by a partition. When the partition is removed, each gas expands to fill the whole container, mixing with the other and creating entropy.

Explanation / Answer

since Tf lies between T1 and T2 total (DeltaS) is always positive by the expression

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