9.23 x 10^23 Au atoms= moles Au

Explanation:

We are asked to find how many moles of gold are in 9.23 *10²³ atoms of gold.

Avogadro's Number or 6.022 *10²³ is used to convert atoms to moles. This is the number of particles (atoms, molecules, formula units, etc.) in 1 mole of a substance. In this case, the particles are atoms of gold.

We convert using dimensional analysis. Set up a conversion factor using Avogadro's Number.

We are converting 9.23 * 10²³ atoms of gold to moles, so we multiply by this value.

Flip the conversion factor so the units of atoms of gold cancel.

The original measurement of atoms has 3 significant figures, so our answer must have the same. For the number we found, that is the hundredth place. The 2 in the thousandth place tells us to leave the 3.

9.23 *10²³ atoms of gold is equal to approximately 1.53 moles of gold.