Here is a classroom demonstration of how to estimate absolute zero.

Charles Law and absolute zero.
https://www.youtube.com/watch?v=wkWo-8tY8cY

Btw, if the temperatures and volumes of other gases are measured and
plotted you will get lines with different slopes, but they will all
converge on the same value of absolute zero. However, this is based on a
_extrapolation_. Maybe the volume of a gas and its temperature don't
maintain this linear relationship as the volume approaches zero. William
Thomson (Lord Kelvin) first proposed  that this linear extrapolation was
reliable. The demonstrator quotes him at about seven minutes into the video:

<< ...infinite cold must correspond to a finite number of degrees of the
air-thermometer below zero;  if we push the strict principle of graduation,
stated above, sufficiently far, we should arrive at a point corresponding
to the volume of air being reduced to nothing, which would be marked as
-273° of the scale (-100/.366, if .366 be the coefficient of expansion);
and therefore -273° of the air-thermometer is a point which cannot be
reached at any finite temperature, however low. >> footnote 6 from
https://zapatopi.net/kelvin/papers/on_an_absolute_thermometric_scale.html

I think it is illogical to propose a linear relationship exists all the way
down to absolute zero. Air with no volume is an oxymoron. Linearity may be
an excellent approximation over most scales,  but I would say below some
small but finite volume the linear assumption breaks down with or without
appeals to quantum mechanics.
Harry

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