Re: [math-fun] Sugar + water paradox:
Why wouldn't that be expected, once the jar is removed from the µwave? The heating has caused more sugar to dissolve than would normally dissolve at room temperature. So once it's taken out, as the temperature declines, less and less sugar can remain in solution (until equilibrium is reached). —Dan Bill Gosper wrote: ----- But for several minutes, at least, the amount of dissolved sugar actually declines. -----
I understand it now. So the amount in solution increases to a temporary maximum, then decreases to a minimum, and then (very slowly) increases again until all the sugar is dissolved. This last step probably takes days, because it's limited by diffusion against gravity. On Wed, Mar 20, 2019 at 5:10 PM Dan Asimov <dasimov@earthlink.net> wrote:
Why wouldn't that be expected, once the jar is removed from the µwave?
The heating has caused more sugar to dissolve than would normally dissolve at room temperature. So once it's taken out, as the temperature declines, less and less sugar can remain in solution (until equilibrium is reached).
—Dan
Bill Gosper wrote: ----- But for several minutes, at least, the amount of dissolved sugar actually declines. -----
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Dan Asimov