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By dividing the glass of milk into 2 equal portions, I seem to
have decreased the entropy of the system. This seems like a
strange result: where is corresponding gain of entropy in the
surroundings to ensure the 2nd law is not violated?
Perhaps it would help to start with chocolate milk on one side and
white milk laced with radioactive cesium on the other. Remove the
partition. Observe the mixing. Re-insert the partition.
Unmixing does not occur.
I accept what you say for chocolate and white milk. Also for the
cards.
But I'm still stuck on what happens with just a glass of milk. My
problem is that *macroscopically* I can't tell any difference between
two half glasses of milk and one full glass of milk, in contrast to
the case of chocolate and white where I can see the color gradations.
Shouldn't there be some *macroscopically measurable* evidence of a
change in entropy?