A sample of aluminum oxide, Al2O3(s), contains 8.29*10^25 total atoms. Calculate the amount in moles of aluminum oxide in the sample. Hint: This is a two-step problem. Calculate the number of formula units first.

To calculate the amount in moles of aluminum oxide, we need to first determine the number of formula units in the sample.

One formula unit of aluminum oxide, Al2O3, consists of two aluminum atoms (Al) and three oxygen atoms (O).

Given that the sample contains a total of 8.29 * 10^25 atoms, we can find the number of formula units by dividing this total by the number of atoms in one formula unit of aluminum oxide.

Number of formula units = Total number of atoms / Number of atoms in one formula unit

Number of formula units = 8.29 * 10^25 atoms / (2 Al atoms + 3 O atoms)

Number of formula units = 8.29 * 10^25 atoms / 5 atoms

Number of formula units = 1.658 * 10^25 formula units

Now that we have the number of formula units, we can proceed to calculate the amount in moles of aluminum oxide.

1 mole of any substance contains Avogadro's number (6.022 * 10^23) formula units. Therefore, we can calculate the amount in moles by dividing the number of formula units by Avogadro's number.

Amount in moles = Number of formula units / Avogadro's number

Amount in moles = 1.658 * 10^25 formula units / 6.022 * 10^23 formula units per mole

Amount in moles ≈ 27.52 moles

Therefore, the amount in moles of aluminum oxide in the sample is approximately 27.52 moles.