Question

A sample of aluminum weighs 50 grams. How many atoms of Al are there?

1) 1.12e24
2) 6.023e23

Answer 1

To find the number of atoms in a 50-gram sample of aluminum, first calculate the moles based on the molar mass, then multiply by Avogadro's number, yielding approximately 1.12 × 1024 atoms.

Step-by-step explanation:

To calculate the number of atoms of aluminum in a 50-gram sample, you must use Avogadro's number and the molar mass of aluminum. One mole of Al has a mass of 26.98 grams, and one mole contains 6.022 × 1023 atoms.

First, determine how many moles are in 50 grams of aluminum:

50 grams Al

26.98 grams Al/mol

Then, multiply the moles by Avogadro's number to find the number of atoms:

1.852 moles × 6.022 × 1023 atoms/mole = 1.115 × 1024 atoms

Therefore, there are approximately 1.12 × 1024 atoms of Al in a 50-gram sample of aluminum.