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The wine and water explanation doesn’t make sense to me. Wine and water have different molar masses and combining a liter of water and a liter of wine doesn’t g
by alasdair_ 5y ago
The wine and water explanation doesn’t make sense to me. Wine and water have different molar masses and combining a liter of water and a liter of wine doesn’t give exactly two liters of the new substance, in the same way as a liter of ping pong balls and a liter of sand doesn’t produce two liters of ping pong sand when mixed together - some of the molecules are bigger than some of the others.
Once you pour a liter of the new, mixed, wine-water substance back into the first container, you’ll likely have less than a liter in the second container, so the wine bottle will contain more than the container originally containing water. Right?
- graup 5y agoI think you made the same mistake that I made when I first read it. The question isn't "what contains more wine?" but "compare the amount of water in A to the amount of wine in B." Step 1: A with 10 L wine; B with 10 L water Step 2: A with 9 L wine; B with 11 L liquid (10 L water and 1 L wine => 10/11 water, 1/11 wine) Step 3: A with 10/11 * 1/11 = 10/11^2 L water; B with 1/11 * 10/11 = 10/11^2 L wine. 10 / 11*2 water in A ~ 10 / 11^2 wine in B.
- daveFNbuck 5y agoYou're misunderstanding the objection. They're saying that if you move 1L of wine to the water side, the side you poured into will have fewer than 11L and when you pour 1L back the two sides won't have equal volume.
- d--b 5y agoNo, it’s not like ping pong balls and sand. A liter of water and a liter of wine definitely make 2 liters of liquid…
- anamexis 5y agoNot quite. Mixing alcohol and water results in a different total volume than the sum of the two before mixing. https://en.wikipedia.org/wiki/Alcohol_by_volume#Volume_change https://en.wikipedia.org/wiki/Alcohol_by_volume#Volume_chang...
- deleted 5y ago[deleted]
- gus_massa 5y agoThe article is about mathematical water and mathematical wine. They have additive volumes. Real water and real wine are more complicates. More generally, after mixing some water and some ethanol the volume of the mix is smaller than the sum of the volumes. And this is not only a theoretical result, it's possible to measure the difference experimentally https://en.wikipedia.org/wiki/Alcohol_by_volume#Volume_change https://en.wikipedia.org/wiki/Alcohol_by_volume#Volume_chang...
- dreamcompiler 5y agoIf you mix 1 liter of pure alcohol with 1 liter of pure water, you'll end up with less than 2 liters of liquid. But wine is a little bit of alcohol already mixed with a lot of water, so the "interstitial molecular crowding" will have already happened. So 1L of wine + 1L of water produces 2L total.
- GoldenGateBRDG 5y agohttps://de.wikipedia.org/wiki/Mischungskreuz https://de.wikipedia.org/wiki/Mischungskreuz
- jml7c5 5y agoIs there a name for this in English?
- grzm 5y agoLooks like it's Pearson's Square or the Box Method: https://chemistry.stackexchange.com/questions/111440/is-there-a-name-for-this-algorithm-to-calculate-the-concentration-of-a-mixture-o https://chemistry.stackexchange.com/questions/111440/is-ther...
- ZeroGravitas 5y agoExcluding the physical elements, it still seems a poor, possibly actively misleading (or should I say misdirecting), analogy. The better way to understand it is to use only two cards, one face up one face down, if you give one to each person randomly, how can you magically match the other person? By flipping the card, because for every down you have, the other person has one up.
- shawabawa3 5y agoYou are being pedantic Most people won't consider the sub ml change in volume
- nkrisc 5y agoFine, replace the water and wine with two different liquids that have exactly the same molar mass. You’re missing the point of the example by thinking of it as real. There’s no actual water or wine here.