Final answer:
To find out how many moles are in 1.02 x 10¹⁰ atoms of aluminum, you divide the number of atoms by Avogadro's number (6.022 x 10²³ atoms/mol). The result is approximately 0.0000169 moles of aluminum.
Step-by-step explanation:
To determine how many moles there are in 1.02 x 10¹⁰ atoms of aluminum (Al), we use Avogadro's number, which is 6.022 x 10²³ atoms per mole. We can set up a conversion factor to convert from atoms to moles:
1 mole Al = 6.022 x 10²³ atoms Al
Now we divide the number of atoms by Avogadro's number to find the moles:
1.02 x 10¹⁰ atoms Al / 6.022 x 10²³ atoms/mol Al
= moles of Al
After performing the division, we get the number of moles:
1.02 x 10¹⁰ atoms Al / 6.022 x 10²³ atoms/mol Al
= 0.0000169 moles Al (rounded to four significant figures)
Therefore, there are approximately 0.0000169 moles of aluminum in 1.02 x 10¹⁰ atoms of Al.