Orodruin said:
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Again, you are mixing concepts here. The ice-water mixture equilibrates rather quickly to zero but it takes much more energy to melt the ice than to heat it to zero degrees. Once the mixture is equilibrated, the heat transfer from the surrounding air is pretty inefficient.
In conclusion, I would say that your objections seem grounded on not having learned or ignoring the entire concept of heat of fusion. What kind of background in thermodynamics do you have?
Ironically, you seem to be getting pretty 'heated' for a thread on ice.

We seem to be talking in circles, so I'm going to drop any further discussion with you on this topic in this thread, after a (hopefully) brief closing statement.
I think we are talking past each other. I have a fairly good grasp of some of the basics of thermodynamics (you jump to some conclusions that I don't know some things that I do know), but I'm no expert and there are limits and gaps in my knowledge. But I fully understand it takes far more energy ( ~ 144x IIRC) to move water/ice through 1 degree F and a phase change, than just moving it 1 degree F. That's not the point though.
My point was, if someone is doing a demo like this, it is obviously for people who
don't have a solid grasp on the subject. Experts in the field don't need to be shown this, anymore than I need to be shown that E= I * R with a video of a resistor, wires, source and meters to know how to apply that knowledge to some circuit analysis or design.
And if you are demonstrating an effect to someone, I'd say it is best to eliminate other effects, or explain them. (edit, longer than needed :) )
Bottom line, all I was trying to say, (and I didn't think it would be controversial or I would not have bothered) is that I feel the demo would be
more effective and would have more impact (but not 'wrong' or 'faked' or anything of the sort') to the intended audience if they started with ice @ ~ -1 C, and showed that the salt addition brought the temperature below the temperature of the ice. That's all. Then they wouldn't also have to explain that the phase change has a larger effect. One step at a time, seeing the temp drop below the ice would just be a more direct way to demo this. Sorry if that got you worked up.
And if I did get anything wrong in that, I would appreciate corrections from anyone else interested in the topic.