[FRIAM] Entropy RE-redux

[Tom Johnson]

Interesting query, Nick, but I am finding that it is always interesting (so
far) to (1) ask the AI to provide comments and footnotes with hyperlinks of
why it did what it did and #2 run the same query multiple times in the same
platform over set time phases and the same thing in multiple platforms.
Then compare an contrast.
Tom

=======================
Tom Johnson
Inst. for Analytic Journalism
Santa Fe, New Mexico
505-577-6482
=======================

On Wed, May 28, 2025, 12:26 PM Nicholas Thompson <thompnickson2 at gmail.com>
wrote:

> Dear Colleagues,
> I am trying to "design" the simplest sort of phenomenon that demands the
> concept of entropy.  My first description left many ambiguities which I
> have attempted to correct in this revision.  Unfortunately, the revision
> has gotten horribly long.  Still, I am hoping that at least a few of you
> -- as you love me -- will respond.  Here is the prompt.
>
> Our goal is to juxtapose two bodies of air, of equal temperature  and
> volume but different histories  to see which can exert the most pressure.
> Thus we hope to separate the effects of temperature, per se, from the
> effects of how that temperature was arrived at.   We start with a single
> cylinder of air at one bar (roughly  sea-level pressure) and 50 degrees
> C, which contains three slidable/peggable dividers.  One is installed at
> the exact middle of the cylinder, the other two at opposite ends.  All
> motions of the sliders will be quasi- static (infinitely) slow).  The
> cylinders and the sliders are designed to be adiabatic—no heat or mass can
> pass through them—except in the following two respects.  Just  to the
> right of the central slider are installed two ports, one through which air
> may be admitted or released and a second through which heat may enter or
> depart through conduction.     These ports will always  be assumed to be
> adiabatically sealed unless explicitly described otherwise.  Finally, on
> either side of the central slider is installed a temperature sensor so that
> we may know the temperature within the two chambers.
>
> With this equipment in hand, we begin the preparation of the two
> juxtaposed chambers.  On the left, we push in the slider until the left
> chamber reaches a temperature of 20 degrees C. and we peg it there.   We
> measure the distance from the left slider to the central slider  . Now,
> we open the heat and air ports on the right side of the central slider and
> we push in the right slider until it is the same distance from the central
> slider as the left slider is on the other side.  (Thus we have guaranteed
> that the volume of the two adjacent chambers is the same)    Now we close
> the air port.   Through the still open heat port we admit just enough heat
> to bring the temperature up to 20 degrees C. and then we seal it.  So now
> we have, as planned, two adjacent chambers, of equal temperature and volume.
> Now we unpeg the central divider.  Which way, if any, does it move and
> why?
>
>
> --
> nick
> .- .-.. .-.. / ..-. --- --- - . .-. ... / .- .-. . / .-- .-. --- -. --. /
> ... --- -- . / .- .-. . / ..- ... . ..-. ..- .-..
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