To determine the number of moles from a given number of atoms, we use Avogadro's number, which is [tex]\( 6.022 \times 10^{23} \)[/tex] atoms per mole.
The formula to find the number of moles (n) is given by:
[tex]\[ n = \frac{\text{number of atoms}}{\text{Avogadro's number}} \][/tex]
Here, we are given:
- The number of atoms of Magnesium (Mg) = [tex]\( 2.5 \times 10^{25} \)[/tex]
- Avogadro's number = [tex]\( 6.022 \times 10^{23} \)[/tex]
Now, substitute these values into the formula:
[tex]\[ n = \frac{2.5 \times 10^{25}}{6.022 \times 10^{23}} \][/tex]
Upon performing this division, we find that:
[tex]\[ n \approx 41.514 \][/tex]
This indicates the number of moles of Magnesium (Mg) present in [tex]\( 2.5 \times 10^{25} \)[/tex] atoms Mg is approximately 41.5 moles.
Therefore, the correct answer is:
41.5 moles
