Use the accepted values for the molar masses of zinc and gold to determine the mass of gold needed to have the same number of atoms as 10 g of zinc.

30 g of Au have the same number of atoms as 10 g of Zn

Explanation:

Molar mass Au: 196.97 g/m

Molar mass Zn: 65.41 g/m

10 g of Zn are (mass / molar mass) = 0.153 moles

(10 g / 65.41 g/m)

And now let's count the atoms in this amount of Zn ( mol . NA)

0.153 m . 6.02×10²³ = 9.20×10²² atoms of Zn

In which mass of Au, will we have, these quantity of atoms.

So 9.20×10²² atoms are contained in 0.153 moles.

Then, let's convert the moles in mass (mol . molar mass) to get the answer.

0.153 m . 196.97 g/m = 30.1 g