Question

How many moles of magnesium is 5.01 x 10^22 atoms of magnesium?

Answer 1

The question requires us to calculate the number of moles that corresponds to 5.01 x 10^22 atoms of magnesium.

To solve this question, we'll need to use the Avogadro constant. This number, defined as 6.02 x 10^23, relates the number of constituent particles (molecules, atoms or ions, for example) in a sample with the amount of substance in that sample. We can use it by saying that 1 mol of a substance corresponds to 6.02 x 10^23 constituent particles of this substance.

Then, using the information above, we can calculate the number of moles in 5.01 x 10^22 atoms of magnesium (Mg):

6.02 x 10^23 atoms of Mg --------------- 1 mol of Mg

5.01 x 10^22 atoms of Mg ---------------- x

Solving for x, we'll have:

`x=\frac{(5.01*10^(22)\text{ atoms of Mg)}*(1\text{ mol of Mg)}}{(6.02*10^(23)\text{ atoms of Mg)}}=0.0832\text{ mol of Mg}`

Therefore, 5.01 x 10^22 atoms of magnesium corresponds to 0.0832 mol of this element.