<div dir="ltr">sorry, typo above, it should read:<br><br>In your arrangement, the amount of molecules in the two cylinders will end up being different. <br><br>Why?<br><br>Because <br><br>When you moved the left cylinder, it was closed so no air molecules entered or escaped.<br>When you moved the right cylinder, the air port was open, so some air escaped.<br><br>So<br><br>You ended up with two cylinders with more air molecules in the left cylinder than in the right cylinder.<br><br>So<br><br>If you make the temperatures the same, the cylinder with more air molecules must have a higher pressure.<br><br>So <br><br>The slider will move from left to right.</div><br><div class="gmail_quote gmail_quote_container"><div dir="ltr" class="gmail_attr">On Wed, 28 May 2025 at 21:30, Pieter Steenekamp <<a href="mailto:pieters@randcontrols.co.za">pieters@randcontrols.co.za</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr">In your arrangement, the amount of molecules in the two cylinders will end up being different. <br><br>Why?<br><br>Because <br><br>When you moved the left cylinder, it was closed so no air molecules entered or escaped.<br>When you moved the right cylinder, the air port was open, so some air escaped.<br><br>So<br><br>You ended up with two cylinders with more air molecules in the left cylinder than in the left cylinder.<br><br>So<br><br>If you make the temperatures the same, the cylinder with more air molecules must have a higher pressure.<br><br>So <br><br>The slider will move from left to right.</div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Wed, 28 May 2025 at 21:14, Tom Johnson <<a href="mailto:jtjohnson555@gmail.com" target="_blank">jtjohnson555@gmail.com</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="auto"><div>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.</div><div dir="auto">Tom</div><div><br></div><div>=======================<br>Tom Johnson<br>Inst. for Analytic Journalism<br>Santa Fe, New Mexico<br>505-577-6482<br>=======================</div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Wed, May 28, 2025, 12:26 PM Nicholas Thompson <<a href="mailto:thompnickson2@gmail.com" target="_blank">thompnickson2@gmail.com</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div dir="ltr"><div>Dear Colleagues, </div><div>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.</div><div><br></div><div>
<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:115%;font-size:12pt;font-family:Aptos,sans-serif">Our goal is to juxtapose two bodies of air, of equal
temperature <span> </span>and volume but different
histories <span> </span>to see which can exert the
most pressure.<span> </span>Thus we hope to
separate the effects of temperature, per se, from the effects of how that
temperature was arrived at. <span> </span>We start with
a single cylinder of air at one bar (roughly<span>
</span>sea-level pressure) and 50 degrees C, which contains three slidable/peggable
dividers.<span> </span>One is installed at the exact
middle of the cylinder, the other two at opposite ends.<span> </span>All motions of the sliders will be quasi-
static (infinitely) slow).<span> </span>The cylinders
and the sliders are designed to be adiabatic—no heat or mass can pass through
them—except in the following two respects. <span> </span>Just<span> </span>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.<span> </span>These ports will
always <span> </span>be assumed to be adiabatically
sealed unless explicitly described otherwise. <span> </span>Finally, on either side of the central slider
is installed a temperature sensor so that we may know the temperature within
the two chambers. <span> </span><span></span></p>
<p class="MsoNormal" style="margin:0in 0in 8pt;line-height:115%;font-size:12pt;font-family:Aptos,sans-serif">With this equipment in hand, we begin the preparation of the
two juxtaposed chambers.<span> </span>On the left, we
push in the slider until the left chamber reaches a temperature of 20 degrees C.
and we peg it there. <span> </span>We measure the
distance from the left slider to the central slider <span> </span>. Now, we open the heat and air ports on the
right side of the central slider and<span> </span>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.<span>
</span>(Thus we have guaranteed that the volume of the two adjacent chambers is
the same)<span> </span><span> </span>Now we close the air port.<span> </span><span> </span>Through the still open heat port we admit just
enough heat<span> </span>to bring the temperature up
to 20 degrees C.<span> and then we seal it. </span>So now we have, as
planned, two adjacent chambers, of equal temperature and volume.<span> </span>Now we unpeg the central divider.<span> </span>Which way, if any, does it move and why?<span></span></p>
<br></div><br><span class="gmail_signature_prefix">-- </span><br><div dir="ltr" class="gmail_signature"><div>nick</div></div></div>
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