Answer :
In 1.64 x 10²⁴ atoms of fluorine, there are approximately 2.73 moles of fluorine.
Identify the given information:
Number of atoms of fluorine = 1.64 x 10²⁴ atoms
Use Avogadro's number:
Avogadro's number = 6.022 x 10²³ atoms/mol
Convert atoms to moles:
We can use the formula:
[tex]\text{moles} = \frac{\text{number of atoms}}{\text{Avogadro's number}}[/tex]
Substituting the values we have:
[tex]\text{moles} = \frac{1.64 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mol}}[/tex]
Performing the division:
[tex]\text{moles} = \frac{1.64}{6.022} \times 10^{24-23}[/tex]
[tex]\text{moles} = \frac{1.64}{6.022} \times 10^{1}[/tex]
[tex]\text{moles} \approx 0.273 \times 10^{1}[/tex]
[tex]\text{moles} \approx 2.73 \text{ moles}[/tex]
