Comment on ice treat

ΔT~f~ = i * K~f~ * m

• salvaria@lemmy.blahaj.zone ⁨2⁩ ⁨weeks⁩ ago

  The bottle is green, the liquid is brown

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  • Karyoplasma@discuss.tchncs.de ⁨2⁩ ⁨weeks⁩ ago

    Yeah, that’s how it is here as well, so these Jägersicles look fake.

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    • errer@lemmy.world ⁨2⁩ ⁨weeks⁩ ago

      Food coloring

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  • idunnololz@lemmy.world ⁨2⁩ ⁨weeks⁩ ago

    No, at -15 it turns green /s

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• Tar_alcaran@sh.itjust.works ⁨2⁩ ⁨weeks⁩ ago

  All the other stuff in the drink might lower it a bit though, especially the 14% (!!!) sugar.

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  • Karyoplasma@discuss.tchncs.de ⁨2⁩ ⁨weeks⁩ ago

    You’re right, I edited it.

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• Hacksaw@lemmy.ca ⁨2⁩ ⁨weeks⁩ ago

  I did not know about that formula, very cool. It seems linear (unless the molality is a non-linear term), whereas the empirical data gets pretty whacky at higher concentrations. Maybe its validity is for low concentrations? I’m getting closer to -27C from this plot

  Plot of freezing point of water vs alcohol concentration

  Source www.researchgate.net/figure/Melting-freezing-points-of-alcohol-aqueous-solutions-vs-solvent-concentration-Weast_fig6_273304489

  Either way that’s getting close to “don’t lick it” temperatures lol!

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  • Karyoplasma@discuss.tchncs.de ⁨2⁩ ⁨weeks⁩ ago

    The figure you’ve linked plots concentration by weight (wt.%), while the alcohol content of drinks is usually given in volume percent (v/v). Ethanol is less dense than water, so a 30% concentration by weight is a higher concentration by volume.

    Imagine a 100g solution of 30wt.% alcohol. That means that 30g are ethanol and 70% are water. the 70g of water translate to 70ml volume (density 1g/ml) and the 30g of ethanol translate to 30/0.789 = 38.02ml. So in total, you would have 108.02ml of liquid and the concentration of ethanol by volume would be 38.02/108.02 = 35.2%.

    Why it gets wacky at the end: Ethanol freezes at -114°C, water freezes at 0°C, but at specific concentrations, the eutectic composition, the solution freezes at a lower point than either of its constituents. The eutectic point is the lowest possible freezing point of a solution. The formula I gave is not applicable to eutectic solutions and is an approximation based on perfect solutions (which in reality don’t really exist).

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    • Ashiette@lemmy.world ⁨2⁩ ⁨weeks⁩ ago

      There is only one error in your equations (and that doesn’t change much about your point) is that the volume of that mixture is slightly lower.

      Volume reduction in water - ethanol mixtures

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    • Hacksaw@lemmy.ca ⁨2⁩ ⁨weeks⁩ ago

      Amazing, thanks for the clarification!

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• Lemmyoutofhere@lemmy.ca ⁨2⁩ ⁨weeks⁩ ago

  “it has an alcohol by volume of 35% (61 degrees proof, or US 70 proof)”

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  • Karyoplasma@discuss.tchncs.de ⁨2⁩ ⁨weeks⁩ ago

    Whoops. Well I forgot to account for sugar and other stuff which decrease freezing temperature as well, so the result might still be around right. It’s an ok ballpark at least. Precisely calculating a solutions freezing temperature when it has that many different solubles is pretty hard.

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• Tar_alcaran@sh.itjust.works ⁨2⁩ ⁨weeks⁩ ago

  Is Jägermeister really that green in the US?

  It’s brown everywhere else.

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  • ignotum@lemmy.world ⁨2⁩ ⁨weeks⁩ ago

    Wouldn’t surprise me, they do love their food dyes over there

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