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Topic: 602'214'162'949'382'947'882'374 is Avogadro's Number
Replies: 1   Last Post: Aug 4, 2013 12:43 AM

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hanson

Posts: 1,592
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
http://www.youtube.com/watch?v=G2_Q9FoD-oQ
http://www.youtube.com/watch?v=V4V2bpZlqx8
about...
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
http://www.youtube.com/watch?v=2dzS_LXvYA0
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
1905.
>
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
dude.
>
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.
>
Caveat:
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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