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Name: Steven H.
Status: educator
Age: 50s
Location: N/A
Country: N/A
Date: 2/9/2004


Question:
For some reason I do not understand, my e-mail has included several questions of the form, "does hot water freeze faster than cold water". I posted a response to a "Marilyn (vos Savant) is Wrong" some years ago and it must still be out there; I usually get about one query a year. I looked over the answers turned up by searching the archive and I note that opinion seems to be divided. One thing I did not notice, though, is the Stefan-Boltzmann law (radiative energy transfer being proportional to the fourth power of temperature). I am not a physicist and it has been a LONG time since my undergraduate physics days, but I do not know if the Stefan-Boltzmann law applies at relatively low temperatures like boiling water or if it only applies at stellar surface class temperatures. If it holds true across a wide range of temperatures, for hot vs. cold water in containers that allow radiative cooling (I know; the Stefan-Boltzmann law is for blackbody radiators) wouldn't hot water cool faster?


Replies:
One of my favorite questions also. However, I KNOW the correct answer!!!

It was indelibly burned into my mind one incredibly embarrassing evening in a pool hall in my home town when I was home from my studies as a physics major at the University of Chicago. After I had pontificated a bit on the power of learning physics, Art, the pool hall proprietor, asked me and my brother if we thought boiling water would freeze before cold water taken directly from a faucet if both were placed in a freezer at the same time. I could see no reason for hot water to freeze faster and so bet a dollar (big bet in those days!). Needless to say, I lost the bet and had to admit that Art, who probably had not finished high school, knew some physics better than this brash young physics major!

I am still not sure of the reason for this surprising phenomena, but I believe it is due to the fact that boiling removes the air from the water and the air in the cold water slows the freezing remarkably much.

As you say, radiation, being proportional to the fourth power of the absolute temperature, cools the hot water more rapidly than the cold water at first. However, once the hot water cools to the original temperature of the cold water, the cold water has cooled considerably below that temperature and the cold water stays colder than the hot water. However, the change of state to a solid is affected strongly by the dissolved air. Cooling is also caused by convection and conduction, which are proportional roughly to the first power of the difference between the water temperature and the surroundings cools the two pots more equally.

Physics being an experimental science, the best way to check this is to actually do the experiment. I would be delighted to hear of your results!

Best, Dick Plano...


Hi Steven,

You're thinking way harder than the answer I am going to give you. I also always have students that ask the question about hot or cold water freezing faster. In "The Curious Cook" by Harold McGee, beginning on p. 184,the question is answered in a most simple way. After a simple empirical experiment he states (on p. 187), "My guess is that the hot water needs to spend less time in the actual process of freezing because evaporation in the initial descent to the freezing point has diminished its mass, so there is less water to freeze." Makes sense considering evaporation can and does take place in the freezer. Now what if you sealed those ice cubes off?.... Sounds like another experiment waiting to take place.

Happy science.

Martha Croll



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