Okay /sci/, I have a question that's been bugging me all day and it's not related to coursework enough for me to ask my lecturer. So here goes:
Assume a scenario where I have a glass of infinite volume and add a 200 ml bottle of Jack Daniel's to the glass, and then proceed to pour water into the the glass for an indefinite amount of time.
At some point, would the concentration of Jack Daniel's become so diluted that it would be completely undetectable in the solution? As in, the Jack Daniel's' concentration has become so diluted that now only the water is detectable?
>At some point, would the concentration of Jack Daniel's become so diluted that it would be completely undetectable in the solution?
Yes, of course.
Think about what it would mean if the opposite were true. Any given sample would have enough molecules of non-water to be detectable as jack. But you've got potentially infinite samples. So that means you must have infinite jack. But you don't. QED
Infinite water has a infinite mass.
At some point the pure mass of the water above the jack daniels will transform the jack daniels into dark matter. This will create a black hole which will suck in all your measuring facilitys
Any analytical technique is going to have a detection limit. Something like HPLC might work out better for some molecules, while Tollens' reagent might be better for others. Anyway, it depends on what you mean by detectable. Do you need to show that the solution isn't pure water, or do you need to show that it was whiskey, or that it was a particular blend of JD?
The question is: how are you measuring it? If you have the entire solution available (i.e. not taking a sample), and you boil it down very carefully, with multiple columns and precise control, you may be able to recover some of the whiskey no matter how much water (practically) was originally added. But whether or not that's really the case is going to require experiment. My guess is no, but I've been surprised before.
Infinite volume implying a vaccum, mass being antithetical to absolute-pure-volume, mass being distinguishable from absolute-pure-volume, it'd exist as its own infinitesimal entity, no matter how arbitrary.
as the volume of water approaches infinity the jack daniels to water ratio approaches zero, however there will always be a finite amount of alcohol molecules and I guess that you'll always have some chance of finding a molecule even though the percent chances also approach zero.
shit I don't know man