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Topic: 602'214'162'949'382'947'882'374 is Avogadro's Number
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Posts: 1,648
Registered: 12/13/04
602'214'162'949'382'947'882'374 is Avogadro's Number
Posted: Aug 3, 2013 11:03 PM
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"Sam Wormley" <swormley1@gmail.com> and
"David Canzi" <dmcanzi@uwaterloo.ca> wrote:
158,962,555,217,826,360,000 - Numberphile
the construction, operation and code breaking
of the the WWII German Enigma machine, Turing,
Polish Bomba and the Allied's X-machine.
hanson wrote:
Bitch'n, guys. Now even more interesting and
lasting is the legacy of an even large number:
602'214'162'949'382'947'882'374 or ~ 6E23
aka Avogadro's number ( N_A) in video
in which the dude talks about it "Avogadro's MOL
or MOLE equivalent" that is used in chemistry,
indicating that N_A # of atoms are what you
see in 5 gallons of gas, or in 1/2 ounce of water,
or in a hand full or dirt.
Missing though is the illustration of N_A vastness.
N_A not only relates to how many subsets (atoms)
are in one set/bag (mole) of stuff, many fundamental
physical constants are related in the same way:
k_Boltzmann * N_A = R_gas const
(k for a single Atom) --> (R for a mole of atoms)
Another such N_A sized quantum step is given by
e_elem.charge * N_A = Faraday constant
(e for a single electron) --> (F for a mole of electrons)
That jump of N_A is 6.02E23 orders of magnitude
to get to get from a single atom to a handful (1 mole)
of dirt is truly awesome:
That very N_A step is like telling ONE person what to do,
and then to expect that (6E23/6E6) person in/of 10^17
earth sized populations (that's a Million Trillion Earths
full of folks) will have heard and obey your command,
and do what you have said to that one dingle person.
That is an illustration of how vast and powerful some
laws of physics are... & they were all known long before
But N_A's influence does not stop there. N_A holds true
the next step down into Planck's domain where it can be
seen that
1 mole of Planck Length units = the size of the H-Bohr radius:
l_pl * N_A *(pi*sqrt3) = r_H/mole ... or
1 mole of Planck Time units = the period of the Atomic time unit:
t_pl *N_A*(pi*sqrt3/a) = Tau/mole ... or
1 mole of electron masses = the amount of a Planck Mass unit:
m_e*N_A*(pi*sqrt3*a)= m_pl/mole
Remember that step from a single atom down into Planck's
domain is again like the orderly behavior a Million Trillion
earths full of folks who follow the order given to one single
That then are the observations and experiences we get by
taking 2 N_A-steps into the world of the "Tiny"... but N_A
is also valid when making such steps upwards and out
from our daily environment and looking at the celestial
realm. We may catalog these N_A steps and say:
||1|| N_A = #s of Planck length units within 1 H-Bohr radius.
||2|| N_A = #s of H2 in a few gals of whirling, contained gas.
||3|| N_A = #s of such gas vortexes in planetary systems.
||4|| N_A = #s of planetary systems within galaxies.
||5|| N_A = #s of galaxies within the observable universe.
These nested N_A situations exist due to the manifest
self similarity in the natural world, including its fractal
behavior that we encounter when's we step up or down
Avogardro's N_A ladder.
The points presented above are NOT new. One can
find ancient intuitive analogs in the Bhagavad Gita
or in Jacob's ladder for the Bible beaters... ahahaha...
More contemporary versions were published by Dirac
et.al. in his "Large Number Hypothesis" in the 1950s.
All these speculations & notions, including the crap of
SR & GR are mental masturbations and pipe dreams..
and will not by anyone even a singe cup of coffee...
unless you can make a script from it and land a movie
production for the Sci-Fi channel.... ahahahahaha...
Have at it and thanks for the laughs... hahahahanson

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