The physics of why hot water sometimes freezes faster than cold water
smithsonianmag.com
smithsonianmag.com
Looking at the actual graphs, what is presented appears at first blush to be a bistable system prepared in its higher-energy stable state. (Or at least, prepared in a way that several of its constituent subsystems "fall into" that state.) Transitions to the lower-energy stable state require overcoming a barrier, and jumping over that barrier is of course faster at higher temperatures. At lower temperatures you essentially have a slow internal self-heating from the periodical jumps of subsystems through this forbidden region by thermal excitations, not unlike phosphorescence having to tunnel through an energetically forbidden region; this self-heating prevents the thing from cooling down fast enough.
Actual applicability to water is kind of harder to evaluate. I've long thought that you could indeed have an Mpemba effect caused by persistent induced convective currents in a fluid: so a hotter thing placed into a fridge might create a more dramatic internal flow as its outer boundary layer cools and changes in density, the convective current would certainly increase the slope of the hotter cooling system beyond the naive temperature scaling, and might then persist as a physical difference even after the two systems arrive at the same temperature, leading to a faster cooling speed of the convective system that "started out hotter". But I mean I have never really done experiments to confirm that sort of thing.
This sounds like what I was thinking but I'm not sure. Do you mean the actual boundary layer in the hotter fluid would have a higher convective heat transfer, due to increased turbulence/thermal mixing at the surface of hot water (versus cold water)? Thus hot water will cool faster?
In layman terms, the molecules in hot water are bouncing around more and thus easier to form crystal structures because of the higher-energy state. Molecules at room temperature have to be forced into crystal structures which takes longer.
So, the answer to your question is "a really large number", but it's not obvious that Frozen 2 would have influenced them.
It was always a silly notion, especially when numbers like 30C - a dilution of one part in 10^60, or one molecule of the target substance in 3 × 10^34kg of water, after you understand what molecules are - were being thrown around, but there was at least a plausible explanation before, say, WW1.
If you want a very simple analogy, boiling water is strongly self stirring especially in a cold environment, whereas cold water in a cold environment does not self stir.
This effect is very old popular science filler material, and in the 80s there was possibly a Mr Wizard or similar TV episode where the effect was demonstrated by taking aquarium air tubing and an "empty" mustard squeeze bottle (only worked with one specific brand, plochman's mustard I think) and fill the "empty" mustard bottle such that you've made free yellow food coloring, then stick the aquarium hose in the clear bucket of freezing water and squirt in some mustard food coloring and watch how the convection currents in the previously hot container are huge and the water turns uniformly yellow in seconds whereas the previously cold water the yellow diluted mustard-water just sits there, pretty much. Its easy to use the hose and a stopwatch to try and quantify the currents. Now a days kids would probably use a smartphone camera or ipad and then use a video editing program to quantify the actual water current speeds vs time/location, but its easy to miss the important overall qualitative interpretation by trying too hard to generate too much quantitative information.
We did this in high school, and put 3 thermometers in both buckets. At the point when the water at the very bottom of the hot bucket reached ~6°C, the top of that bucket was still >60°C. This was in a 30cm tall 10 liter bucket, it really surprised us how strongly the water stratified. The top loses heat fast through evaporation, but the temperature of the water at the top does not fall very fast because the newly-cold water flows rapidly down the sides of the bucket. If you add constant mixing to both buckets, the hot one freezes slower than the room-temperature bucket.
In a typical pot, heat is added at the bottom and lost at the top (mostly through evaporation) and a bit at the sides. When heat isn't added anymore energy loss will still be mainly at the top and at the side, at least when not put on a cold surface. When suspended, e.g. on a gas stove, air convection will mage sir that the sides lose now energy than the bottom. So the direction of the convective drive remains the same in the switch from (usually more violent) heating to chilling, so it will sustain relatively well.
On the other hand, while the inertia fades the energy contained in the movement is turned into additional heat that needs to be transported say, but that's a miniscule amount of energy compared to that contained as heat: try to heat up water beyond room temperature by stirring!
This would seem very easy to measure, with and without internal barriers to prevent large scale convection.
It's nice to see more papers on it.
I am pretty sure any tiny time difference, if it exists, would not be worth the hassle of supplying hot water.
true, but while the temperature decreases the air dissolves back in.
What makes ice clear is directional freezing, the sheet freezes from below, pushing the gases up. You can try that in your freezer by putting in it a styrofoam box full of water. Just in this case it will freeze from the top and push the gases downwards. The upper layer will be crystal clear.
Air actually takes a bit of time to diffuse into water if it isn't getting mixed with air (that's why your fish tank needs air to be actively mixed with water). Starting with thin layer of water that was recently hot gives not enough time for any significant amount of air to dissolve.
I work with electronics. I use electronic water for parts cleaning. Electronic water is pure water, distilled, deionized, degassed (no oxygen in it) so it does not oxidise copper traces. It does go bad (bad meaning gets oxygen dissolved) when opened, but think more like hours or even days if proper precautions are taken (don't shake or stir once the container is opened).
Or the explanation as it were is just "abstract" and "geometrical", basically just mathematical?
Very odd phenomenon.
Ergo, some sort of self-reinforcing feedback loop must appear when you use hot water, that sucks heat out of it faster. If you use cold water, the "turbocharged" mechanism does not operate for some reason, and heat is lost at a lower rate.
I've no idea what that mechanism is. It's nonlinear behavior for sure.
For example, this is why large amateur telescopes perform worse for about an hour after they're brought outside: the mirror is "hot" compared to the air, so a network of toroidal convection cells (spinning doughnuts of air) forms on its surface, ever so slightly messing with the rays of light.
There's actually an attractor for some of these networks (speaking in general), where they form hexagonal cells. Of course, in most cases, it's more disorderly than that.
I'm not sure how a turbocharged network could form, but I'm looking forward to learn more on this topic.
Next time I will smile :-)
Knowing if it freezes faster but doesn’t reach 0 degrees faster would help point to the cause. Especially if it’s known whether the temp is uniform. Is the room temp water super cooling?
Someone needs to do an experiment measuring temperature distribution over time in both hot and room temp water as it freezes.
At least according to Wikipedia, it seems that it’s a bit more complex: https://en.m.wikipedia.org/wiki/Mpemba_effect
Anyways, I’ve been repeating this fact for 2.5 decades, so shout out to my teacher for blowing my young mind.
Cold is merely a relatively low amount of heat energy per unit of mass.
When something cools heat energy is conducted/convected/radiated away from an object causing it to have a lower amount of heat energy per unit mass.
But other things being equal, wouldn’t cold air permeate a less dense barrier (say a layer of insulation in a home) more easily than a dense barrier? Just as water (or cold air) would permeate soil more readily than rock.
So when cold air comes into a house heat energy is transferred from e.g. the material that makes up the wall into the air warming the air and cooling the walls. The cold air is replacing warm air which moves out of the building.
I'm not sure about the best mental model for electric circuits. I never understood electricity.
What kind of situation is there in which thinking about cold propagating instead of heat will give the wrong physical intuition?
The OP is an example when they talk about cold penentrating which makes no sense.
Unfortunately, the glassware kept cracking during the thaw stage. This went on for a couple of months, till finally my supervisor reviewed the procedure, and realised that, whether cracking occurred, depended upon the relative concentrations of the two polymers. If I recall correctly, the problem occurred when the polymer with the lower freezing point (which, thereby, thawed first) was present at a lower concentration. It was basically trapped inside the other still-frozen polymer, and expanding, as it thawed ... till crack!
The solution was surprisingly simple. Change the method. Bubble nitrogen through the mixture to drive out (sparge) the oxygen. Replacing the oxygen with nitrogen was beneficial, as nitrogen didn't interfere with the copolymerisation reaction.
The main problem was that I had lost two months of experimental time, and this was just the start of a series of experiments and instrumental analyses. It was now Easter and the deadline to hand in my student thesis was early December.
Please don't believe anyone who says students have an easy life.
[1] https://www.straightdope.com/columns/read/422/which-freezes-...
1) didn’t know Cecil Adams still existed.
2) still remember looking forward to the Straight Dope in my weekly alt-paper.
I always learned the explanation as: 1. Cool to freezing via evaporation. Because this goes as T^4, the time difference is negligible to reach 0°C. But...hot water loses more volume. 2. Freeze, bit now you need less energy to freeze less material.
I did this at home, and the simple check worked: volume was lower in the frozen hot water.
This explanation might be wrong! But it works out in simple tests and mathematically.
It's similar to (but different from) mechanical inertia, which is an object's resistance to change in velocity.
The latter includes the concept of momentum, that an object with nonzero velocity resists changing it's velocity. There is no such thing as thermal momentum, remove the temperature differential and a thermally uniform substance that's changing temperature at 10 degrees per second will stop getting colder instantly. For related reasons, there's no overshoot when you reach equilibrium, either.
Same effect as seeing your breath in cold weather.
I did it with a cup of boiling water and most of it fell back down as water.
I wintered at the South Pole in 2014, the year the ALS Ice Bucket Challenge was a big thing. One of our crew did it, outside. We discovered a similar effect: when it's even colder out, maybe -80s F: ice water makes what looks like a cloud of steam - in the video (sorry, can't find it quickly) it looked a bit like he was cheating.
I could see if you can disperse it into small enough droplets it would work.
(I always thought it was a pressure thing - but not positive if that is what the article is describing or something more nuanced)
Edit: here this will help explain it https://www.animations.physics.unsw.edu.au/jw/superheating.h...
Because as you say it explodes when you interact with it and are therefore are close to it rather than when it's sitting safely inside the microwave.
It would actually be kind of funny to go into a restaurant and refuse to order anything because you don’t know how anything is made.
Also keep in mind that yellow sludge comes from somewhere... like the cold water coming into the hot water tank. So... it's probably in the "healthier" cold water no different.
This article from the Denver water department says, don't drink the hot water: https://denverwatertap.org/2017/12/13/psa-dont-drink-cook-ho...
It’s mostly just magnesium and calcium salts, likely carbonate but some sulfate as well, depending on the chemistry of the water.
A bigger concern with drinking hot water is bacteria if you don’t keep the tank hot enough, or lead from soldered joints. Hot water will leach stuff from your plumbing faster than cold water.
But overall, in a normal, modern system, drinking hot water from the tap isn’t particularly risky.
https://www.chemistryworld.com/news/mpemba-effect-in-hot-wat...
https://www.repository.cam.ac.uk/handle/1810/263847
This new paper may prove to be conclusive in supporting its existence, but as I'm not an expert I'll give it some time in peer review before coming to any conclusion.
Punchline seems to be that “hot” but out-of-equilibrium material cannot be summarized by a “temperature”, providing many paths towards freezing (on the landscape of microstates), some of which could (efficiently) circumvent the “low temp” state.
Is this correct?
https://en.m.wikipedia.org/wiki/Mpemba_effect See the section called "Mpemba's Observation"
The turbulence will reduce the thermal resistance associated with laminar surface air films on colder surfaces, which would normally be insulating surface, so you'd get a faster heat loss then with a more stagnant layer of cold water.
Water is really amazing. It expands when it freezes. Hot water freezes faster than cold water. It dissolves almost anything, but not too fast.
https://en.wikipedia.org/wiki/Mpemba_effect#Suggested_explan...
But in some conditions it does, which is the surprising result.
The reported experiment reduces the variables by using glass instead of water, so there's no internal flow, but that doesn't stop the airflows generated in the air.
No it doesn't.
Unless you want to word play between English and really specific small technical processes, perhaps.
What's interesting is it's an old urban legend the predates Usenet.
Usenet did kill the glass is a liquid legend though.
You all own freezers so you can test it for yourself, it was found by a child making icecream so it will be easy!
And if you're the !first! to put it on Youtube that'd be cool.
Sciencium talks about it here if you want an ok run down and how it's not real - https://www.youtube.com/watch?v=SkH2iX0rx8U