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Nov 17 at 18:09 comment added Anna Ah, I think I understand now! For example, if a bunch of molecules are leaving and entering our system in some regular way, then our mole numbers („macroscopic average“) might be a non-integer?
Nov 17 at 14:55 comment added Andrew Steane Yes, that is right in the case where $N$ is constrained to a fixed value (the closed system). But if $N$ is not constrained then you have the case where an average value of $N$ need not be an integer.
Nov 17 at 14:20 comment added Anna So is the thinking that since our scale at least in the order of $10^{23}$ particles, we can think of $N$ as being able to change continuously even though it strictly changes discretely? Since each change is so small compared to the amount of particles we have. If we drew a number line that represents the amount of particles $N$ in a system, and we removed 1 particle at a time and marked $N$ after each subsequent removal on our number line, then it would approximate a continuous line very well given our "resolution". Is this the kind of thinking we are employing here?
Nov 16 at 22:03 history answered Andrew Steane CC BY-SA 4.0