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Quantity of substance

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ssssss:
I just had an idea.Sorry if i got stupid.I think few things are not possible by the current theory of masses and quantity.
1.22/7 moles[or PI] moles of a substance cannot exist because if we change this number to Decimals it will be 3.1428...and so on to infinite digits,where as we know we know that one mole has 6.022..x[10]23 so if we see this number we can conclude that atoms cannot be in fraction hence a contradiction.Similar results on 2/3,1/3 and many more rational number moles.Thus that mean atoms are more sepearable,but we certainly cant have a 0.44 of a atom.
2.Moles of certain non rational numbers like square root of 2,3,5 and many others are not possible due to above contradiction.

I think Mass is an integral of its atom mass which further on masses of their neutron,proton and electrons.

Mitch:
I agree but using the concept doesn't effect calculations. There is only an error of plus or minus 1 in the 24th decimal place. Well within acceptable limits.

Plus any instrument you use to measure the mass is going to have a error that is greater than that theoritical limit.

ssssss:
To what decimal place can we calculate mass by means of todays modern technology.I guess atmost with the error of 0.00000000001%.

movies:
My p. chem. book lists the resting mass of a proton at 1.6726231 +/- 0.0000010 x 10^-27 kg.  They somehow have the mass of an electron listed as well with the same number of decimals but 4 orders of magnitude smaller (the error there is only 0.000054 x 10^-31 kg)

That's more exact than I expected.

I assume by the fact that it refers to them as "resting masses" that quantum mechanics changes these numbers when the particles are in motion, so the error is probably much greater in practice.

All of this has absolutely no effect on regular laboratory chemistry however.  The balance in our lab is only accurate to +/- 0.1 mg!

Mitch:
The balance in my lab is suppose to be +/- 0.1 mg  ::)

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