Total entropy of the system change?

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SUMMARY

The total entropy of a system does not change when two identical tanks of water at the same temperature are combined into a larger tank, nor does it change when a diaphragm separating identical gases is removed. This conclusion aligns with the principles outlined in the Gibbs Paradox, which states that indistinguishable particles do not contribute to an increase in entropy when mixed. Therefore, in both scenarios presented, the entropy remains constant due to the indistinguishability of the particles involved.

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If I have two tanks of 1 liter filled with water at the same temperature and I pour it to a 2 liter tank, would the total entropy of the system change? Why?
If I have a container which has a diaphragm at the middle, with the same gas (same temperature, same pressure etc.) from both sides of the diaphragm, at some moment the diaphragm is instantly removed, would the total entropy of the system change? Why?
 
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Entropy doesn't change. Look up "Gibbs Paradox".
If the partition is now removed, what should happen to the total entropy? Since the particles are identical, the total entropy should not increase as the partition is removed because the two states cannot be differentiated due to the indistinguishability of the particles.
Ref: http://www.nyu.edu/classes/tuckerman/stat.mech/lectures/lecture_6/node5.html
 

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