Question

What would be the mass of `4.5xx10^26` carbon atoms?

Answer 1

Well, the mass of `6.022xx10^23` carbon atoms is `12.011*g`.

Explanation:

How do we know this? Well, `6.022xx10^23` individual `""^12C` atoms has a mass of `12.00*g` precisely, and we use this number as a bridge between the sub-micro world of atoms and molecules to the macro world of grams, and litres, that which we can quantitatively measure.

And so.........

`"Mass of carbon"=(4.5xx10^26*"carbon atoms"xx12.011*g)/(6.022xx10^23*"carbon atoms")`

`~=9*kg` carbon...........

Answer 2

We will convert to mols.

Explanation:

1 mol of `C` has 6.02xx10^23 atoms (Avogadro's number).

So the number you mention contains:

`(4.5xx10^26)/(6.02xx10^23)=0.748xx10^3mol`

Since 1 mol of `C` has a mass of `12.01g`

Total mass `=12.01xx0.748xx10^3=8.98xx10^3g~~9.0kg`