Harder Probability?

Factual Questions
1

This is next stage to Simple Probability? …

This experiment is to be conducted here on Earth …

A tank, with say a volume of 4 ft^3, of nitrogen (N2) gas is separated in half by a partition. All of the N2 is at 1 atm pressure and 72 degress F. The partition is removed. Excluding any effects of removing the partition, what is the change in entropy? Maybe zero?

The same tank of nitrogen gas, is again separated in half by a partition. This time, on one side of the tank, the N2 molecules are marked with a weightless distinguishable colored paint, say on the nucleus. All of the N2 is at 1 atm pressure and 72 degress F. The partition is removed. Excluding any effects of removing the partition, what is the change in entropy?

Does adding “information”, i.e. distinguishable vs indistinguishable N2 molecules, affect the entropy change in these two cases?

2

I read this up long ago and seem to remember that you have to assume the cat is in a dead and alive state but not be able to open the box.

I hope this helps. I hope we are on the same wavelenght here.