Question

How many moles of aluminum do 3.7 x 1024 aluminum atoms represent?

Answer 1

To determine the moles of aluminum for 3.7 x 10^24 atoms, divide by Avogadro's number (6.022 x 10^23 atoms/mol). This results in 6.14 moles of aluminum.

Step-by-step explanation:

To calculate the number of moles of aluminum represented by 3.7 x 1024 aluminum atoms, we must use Avogadro's number, which is the number of atoms in one mole of a substance. Recall that one mole is equal to Avogadro's number, 6.022 x 1023 atoms.

To find out the moles, we divide the number of atoms by Avogadro's number:

Moles of Al = (3.7 x 1024 atoms Al) / (6.022 x 1023 atoms/mol Al)

Upon performing this division, we get:

Moles of Al = 6.14 moles of aluminum

Thus, 3.7 x 1024 aluminum atoms are equivalent to 6.14 moles of aluminum.

Answer 2

For this problem, to determine the number of moles given the number of atoms, we use the Avogadro's number. This is an empirical value that relates the number of particles (e.g. atoms, molecules, sub-particles) in one mole of any substance. The value is 6.022×10²³ atoms/mol.

3.70×10²⁴ atoms * 1 mol/6.022×10²³ atoms = 6.144 moles of Aluminum