As I understand it, a mole is Avogadro’s number of atoms of stuff.
More descriptively, exactly 12 grams of Carbon 12 amount of atoms.
You could get an equivalent value of 16 grams of Oxygen 16 as well.
What if you substitute Planck masses for grams…how many atoms are in 12 planck masses worth of Carbon 12?
According to wikipedia, a Planck mass is 2.176 ×10^(-8) kg, an atomic mass unit is 1.66053886 *10^(-27) kg, and Avogadro’s number is 6.022 * 10^(23). An atom of C-12 weighs 12 amu, which comes out to 1.99264663 * 10^(-26) kg. Twelve Planck masses would be 2.6112 * 10^(-7) kg.
So I think what you’re asking for is X, where:
[1.99264663 * 10^(-26)] * X = 2.6112 * 10^(-7)
Right?
I get X=1.31041799 * 10^(19)
I’m not sure if this would be useful in any practical application, but I think it’s your answer.
Thanks.
I just got done readin Carl Sagans CONTACT and one of the procedures the scientists must do to create the machine from the Vega Message was to put a substance in a Molar solution of acid.
Since Molar is derived from Moles, grams, liters, etc…and since the Vegans were using universal constants like the Planck Mass, I thought “what would an alien use for measurements if he/it knew nothing of Metric?”
It should be noted that moles are not necessary to the underlying concept of molar concentrations. The message could have said “dissolve one part zinc in two parts H[sub]2[/sub]SO[sub]4[/sub], measured by number of particles”, and that would be the same as “dissolve half a mole of zinc in one mole of H[sub]2[/sub]SO[sub]4[/sub]”, without the moles.
That’s just not right.
A molar solution is one where each litre of solution contains one mole of solute.
A molar solution of Zn in H[sub]2[/sub]SO[sub]4[/sub] would have one mole of Zn, about 65 g, and since the density of H[sub]2[/sub]SO[sub]4[/sub] is about 1.8 kgL[sup]-1[/sup], a bit less than 1800 g of H[sub]2[/sub]SO[sub]4[/sub]. The acid has a molecular weight of 98, so that’d be about 18 moles of H[sub]2[/sub]SO[sub]4[/sub].
I should also point out that “molar solution of acid” more likely refers to one mole of acid being dissolved in (a bit less that a litre of) water, which would achieve a certain pH value, assuming they specified which acid they meant.