User blog:Nayuta Ito/Mol-Series numbers

I learned mol in my chemistry class. I came up with such silly idea:

"There is a mol. It's 6.02*10^23. If I gathered 1 mol of them, it would get much bigger."

And so on...

$$

\underbrace{a\,mol\,of\quad a\,mol\,of\quad ...\quad a\,mol\,}_\text{a mol}

$$

It means (6.02*10^23)^(6.02*10^23). In googology, it's very tiny. It's just about 10^10^25.1558.

Let Avogadro's Number $$N_A$$.

Avogadro=$$N_A$$

Di-Avogadro=$${N_A}^{\,N_A}=N_A\uparrow\uparrow2$$

Tri-Avogadro=$${N_A}^{{\,N_A}^{\,N_A}}=N_A\uparrow\uparrow3$$

...

Mol-Avogadro=$$N_A \uparrow\uparrow N_A$$

It has a mol of N_A's, but It's tiny. Just a tetration.

Di-pentogadro=$$N_A \uparrow\uparrow N_A=N_A\uparrow\uparrow\uparrow2$$

Tri-pentogadro=$$N_A\uparrow\uparrow\uparrow3$$

...

Mol-pentogadro, Di-hexogadro, ..., Mol-hexogadro, Mol-heptogadro, Mol-octogadro, ...

...

Mol-mologadro=$$N_A\uparrow^{N_A}N_A$$

A MOL OF UPARROWS! IT IS REALLY REALLY HUGE!!!

