### Fundamental E3

Posted:

**Thu Jun 29, 2017 5:44 pm**Question: In a nanotechnology lab you might have the capability ti manipulate individual atoms. The atoms on the left are gallium atoms (molar mass 70 g/mol), those on the right are atoms of astatine (molar mass 210 g/mol). How many astatine atoms would the pan on the right have to contain for the masses on the two pans to be equal?

So what I did was convert the grams per mol of each element into atoms. However, I was confused when I checked my answer with the solution manual because the solution stated that 3 atoms of At were needed to balance it evenly. When I solved for the atoms, I got 4.22x10^25 At atoms and 1.27x10^26 Ga atoms.

What I want to know is:

a) Am I on the right track for solving the problem?

and

b) Why is the solution that 3 atoms of At are needed instead of Ga? Does it have something to do with their molar mass?

Thanks!

So what I did was convert the grams per mol of each element into atoms. However, I was confused when I checked my answer with the solution manual because the solution stated that 3 atoms of At were needed to balance it evenly. When I solved for the atoms, I got 4.22x10^25 At atoms and 1.27x10^26 Ga atoms.

What I want to know is:

a) Am I on the right track for solving the problem?

and

b) Why is the solution that 3 atoms of At are needed instead of Ga? Does it have something to do with their molar mass?

Thanks!