Complete the set-up below and then calculate how many moles are in 3.69 x 10^22 atoms of Ag

Question

3.69 x 10^22 atom Ag

X ?/? = ?

Answer 1

Hello, Deeeee,

We need a conversion factor that will allow us to convert atoms to moles. We can use the definition of a mole:

1 mole = 6.02x10²³

We can add any unit we want at the end of 6.02x10²³, since it is just a count unit We could add cats, paperclips, presidents, friends, etc. Let's make it atoms for this problem:

1 mole Ag atoms= 6.02x10²³ Ag atoms

We can rearrange it to be a conversion factor:

1 = (1 mole Ag/6.02x10²³ Ag atoms)

Now we can convert:

(3.69x10²² atoms Ag)*(1 mole Ag/6.02x10²³ Ag atoms)

The Ag atoms cancel, leaving moles Ag.

0.613 moles Ag

Bob